
Time bar (total: 8.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 4 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 5 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 6 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 7 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 8 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 9 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 10 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 11 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 749.0ms | 8 256× | 0 | valid |
const: 181.0ms (32.9% of total)ival-div: 125.0ms (22.7% of total)ival-exp: 70.0ms (12.7% of total)ival-<=: 57.0ms (10.4% of total)ival-add: 46.0ms (8.4% of total)ival-neg: 43.0ms (7.8% of total)ival-and: 12.0ms (2.2% of total)exact: 12.0ms (2.2% of total)ival-assert: 4.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 0 | 2 | (-7.298654556274414 0.048053767532110214) | 0 | - | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 0 | 0 | - | 0 | - | (neg.f32 x) |
| 0 | 0 | - | 0 | - | (/.f32 (neg.f32 x) s) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 (neg.f32 x) s)) | sensitivity | 2 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 2 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 2 | 1 | 253 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 44.0ms | 512× | 0 | valid |
Compiled 103 to 36 computations (65% saved)
ival-add: 14.0ms (46.8% of total)ival-div: 9.0ms (30.1% of total)ival-exp: 4.0ms (13.4% of total)ival-neg: 3.0ms (10% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 41 |
| 1 | 50 | 41 |
| 2 | 113 | 41 |
| 3 | 273 | 41 |
| 4 | 557 | 41 |
| 5 | 724 | 41 |
| 6 | 797 | 41 |
| 7 | 846 | 41 |
| 8 | 905 | 41 |
| 9 | 907 | 41 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 21 | 9 |
| 2 | 31 | 9 |
| 3 | 44 | 9 |
| 4 | 56 | 9 |
| 5 | 70 | 9 |
| 6 | 91 | 9 |
| 7 | 112 | 9 |
| 8 | 116 | 9 |
| 0 | 116 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (neg.f32 x) s) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 0 | 13 | 30 |
| 1 | 21 | 30 |
| 2 | 31 | 30 |
| 3 | 44 | 30 |
| 4 | 56 | 30 |
| 5 | 70 | 30 |
| 6 | 91 | 30 |
| 7 | 112 | 30 |
| 8 | 116 | 30 |
| 0 | 116 | 30 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f32 x) | |
| accuracy | 0.01171875 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) | |
| accuracy | 0.019167541389095776 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| accuracy | 0.03125 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 17.0ms | 256× | 0 | valid |
Compiled 62 to 18 computations (71% saved)
ival-div: 4.0ms (45.3% of total)ival-exp: 2.0ms (22.6% of total)ival-add: 1.0ms (11.3% of total)ival-neg: 1.0ms (11.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ()) |
#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ()) |
#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt 1/2 (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt 2 (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -1 (/ x s))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt 1 (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x s))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) (taylor inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt 1/2 (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) (taylor -inf s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt 2 (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -1 (/ x s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt 1 (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) (taylor -inf s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor -inf s) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt 1/2 (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/2 (* 1/4 (/ x s))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt 2 (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* -1 (/ x s))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x s))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) (taylor 0 x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor 0 x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor -inf x) (#s(alt (/.f32 (neg.f32 x) s) (patch (/.f32 (neg.f32 x) s) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f32 x) (patch (neg.f32 x) #<representation binary32>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x)) |
| 2.0ms | s | @ | inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x)) |
| 1.0ms | s | @ | 0 | ((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x)) |
| 1.0ms | x | @ | inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 857 |
| 1 | 378 | 768 |
| 2 | 1160 | 742 |
| 3 | 3935 | 722 |
| 0 | 8270 | 682 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/480 binary32) x) (/.f32 x (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
(* -1 x) |
(neg.f32 x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 0 | 13 | 27 |
| 1 | 48 | 27 |
| 2 | 255 | 27 |
| 3 | 2107 | 27 |
| 0 | 8538 | 26 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
| Outputs |
|---|
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Compiled 20 190 to 2 719 computations (86.5% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 805 | 13 | 818 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 805 | 14 | 819 |
| Status | Accuracy | Program |
|---|---|---|
| 48.8% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) | |
| ▶ | 50.3% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
| ▶ | 99.8% | (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) |
| ✓ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| ▶ | 33.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
| ▶ | 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) | |
| 33.7% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| 50.5% | (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal -1 binary32))) | |
| 64.5% | (*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) | |
| ▶ | 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 431 to 312 computations (27.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (/.f32 x s) #s(literal -2 binary32)) | |
| cost-diff | 64 | (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) | |
| cost-diff | 3104 | (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) | |
| cost-diff | 7648 | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| cost-diff | 352 | (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) (/.f32 x s)) | |
| cost-diff | 0 | #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) | |
| cost-diff | 0 | (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| cost-diff | 0 | (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 314 |
| 0 | 65 | 314 |
| 1 | 112 | 298 |
| 2 | 229 | 298 |
| 3 | 477 | 298 |
| 4 | 1186 | 298 |
| 5 | 3662 | 298 |
| 0 | 8449 | 289 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) |
#s(literal 1 binary32) |
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1/2 binary32) |
#s(literal -2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) |
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) |
(/.f32 (/.f32 x s) s) |
(/.f32 x s) |
x |
s |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/6 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal -1 binary32) s) |
#s(literal -1 binary32) |
#s(literal 2 binary32) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) |
#s(literal 1 binary32) |
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) |
(*.f32 (/.f32 x s) #s(literal -2 binary32)) |
(/.f32 x s) |
x |
s |
#s(literal -2 binary32) |
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) |
#s(literal 1 binary32) |
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1/2 binary32) |
#s(literal -2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) |
(+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)) |
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) |
(fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x (/.f32 #s(literal -1 binary32) s)) |
(/.f32 (/.f32 x s) s) |
(/.f32 x s) |
x |
s |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/6 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal -1 binary32) s) |
#s(literal -1 binary32) |
#s(literal 2 binary32) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) |
(neg.f32 (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) |
#s(literal 1 binary32) |
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(*.f32 (/.f32 x s) #s(literal -2 binary32)) |
(/.f32 x s) |
x |
s |
#s(literal -2 binary32) |
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(*.f32 (expm1.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.025722509768442016 | (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) | |
| accuracy | 0.033535009768442016 | (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) | |
| accuracy | 1.2315065899691482 | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) | |
| accuracy | 4.700462778797305 | (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) | |
| accuracy | 14.773541943192766 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) | |
| accuracy | 19.319370596545777 | (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) | |
| accuracy | 19.989271457622174 | (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) | |
| accuracy | 20.514717628874237 | (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) | |
| accuracy | 0.01171875 | (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) | |
| accuracy | 0.015625 | (-.f32 #s(literal 1 binary32) (/.f32 x s)) | |
| accuracy | 0.03125 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) | |
| accuracy | 14.873616470614188 | #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) | |
| accuracy | 11.879271283498522 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) | |
| accuracy | 0.019167541389095776 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| accuracy | 0.02734375 | (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) | |
| accuracy | 0.03125 | (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) | |
| accuracy | 0.11373928688337001 | (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
| 45.0ms | 175× | 0 | valid |
| 24.0ms | 81× | 0 | exit |
Compiled 540 to 70 computations (87% saved)
ival-div: 12.0ms (22.6% of total)ival-pow: 12.0ms (22.6% of total)ival-mult: 8.0ms (15.1% of total)ival-add: 6.0ms (11.3% of total)ival-exp: 4.0ms (7.5% of total)const: 4.0ms (7.5% of total)ival-neg: 3.0ms (5.7% of total)ival-expm1: 2.0ms (3.8% of total)ival-sub: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) #<representation binary32>) () ()) |
#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) #<representation binary32>) () ()) |
#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ()) |
#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) #<representation binary32>) () ()) |
#s(alt #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) (patch #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #<representation binary32>) () ()) |
#s(alt (-.f32 #s(literal 1 binary32) (/.f32 x s)) (patch (-.f32 #s(literal 1 binary32) (/.f32 x s)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) (patch (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) (patch (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) #<representation binary32>) () ()) |
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (patch (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #<representation binary32>) () ()) |
#s(alt (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (patch (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 x s) #s(literal -2 binary32)) (patch (*.f32 (/.f32 x s) #s(literal -2 binary32)) #<representation binary32>) () ()) |
#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (patch (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) (patch (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (patch (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ()) |
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#s(alt (* -2 (/ x s)) (taylor -inf x) (#s(alt (*.f32 (/.f32 x s) #s(literal -2 binary32)) (patch (*.f32 (/.f32 x s) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -2 (/ x s)) (taylor -inf x) (#s(alt (*.f32 (/.f32 x s) #s(literal -2 binary32)) (patch (*.f32 (/.f32 x s) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -2 (/ x s)) (taylor -inf x) (#s(alt (*.f32 (/.f32 x s) #s(literal -2 binary32)) (patch (*.f32 (/.f32 x s) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (* -1/6 (/ x s)) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -2 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (patch (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -2 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (patch (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -2 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (patch (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -2 (/ x s))) (taylor -inf x) (#s(alt (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) (patch (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1)) (* (/ x s) -2) (exp (/ (neg x) s)) (+ (* -1/6 (/ x s)) 1/2) (exp (* (/ x s) -2))) |
| 4.0ms | s | @ | 0 | ((/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1)) (* (/ x s) -2) (exp (/ (neg x) s)) (+ (* -1/6 (/ x s)) 1/2) (exp (* (/ x s) -2))) |
| 3.0ms | s | @ | inf | ((/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1)) (* (/ x s) -2) (exp (/ (neg x) s)) (+ (* -1/6 (/ x s)) 1/2) (exp (* (/ x s) -2))) |
| 3.0ms | x | @ | -inf | ((/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1)) (* (/ x s) -2) (exp (/ (neg x) s)) (+ (* -1/6 (/ x s)) 1/2) (exp (* (/ x s) -2))) |
| 3.0ms | x | @ | 0 | ((/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (+ (exp (/ (neg x) s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (- 1 (/ x s)) (+ (* (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1)) (* (/ x s) -2) (exp (/ (neg x) s)) (+ (* -1/6 (/ x s)) 1/2) (exp (* (/ x s) -2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 525 | 5320 |
| 1 | 1537 | 4857 |
| 2 | 4714 | 4711 |
| 0 | 8248 | 4513 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* -1 (/ x s)) |
(/ (- s x) s) |
(/ (- s x) s) |
(/ (- s x) s) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* -1/6 (/ (pow x 2) (pow s 3))) |
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3)) |
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3)) |
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(- 1 (exp (* -2 (/ x s)))) |
(- 1 (exp (* -2 (/ x s)))) |
(- 1 (exp (* -2 (/ x s)))) |
(- 1 (exp (* -2 (/ x s)))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* -1/6 (/ x s)) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
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(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(/ -1 s) |
(/ (- (* 1/2 (/ x s)) 1) s) |
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s) |
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(* 2 (/ x s)) |
(/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s) |
(/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s) |
(/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s) |
(* 4 (/ x s)) |
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -2 (/ (pow x 2) s)) (* 4 x))) s) |
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -2 (/ (pow x 2) s)) (+ (* 2 (/ (pow x 3) (pow s 2))) (+ (* 8/3 (/ (pow x 3) (pow s 2))) (+ (* 4 x) (/ (pow x 3) (pow s 2))))))) s) |
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -8/3 (/ (pow x 4) (pow s 3))) (+ (* -2 (/ (pow x 2) s)) (+ (* -1 (/ (pow x 4) (pow s 3))) (+ (* -1/3 (/ (pow x 4) (pow s 3))) (+ (* 2 (/ (pow x 3) (pow s 2))) (+ (* 8/3 (/ (pow x 3) (pow s 2))) (+ (* 4 x) (/ (pow x 3) (pow s 2)))))))))) s) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1/2 |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
1 |
(+ 1 (* -2 (/ x s))) |
(+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(/ -1 s) |
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s)) |
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s)) |
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s)) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(* 2 (/ x s)) |
(* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)) |
(* 4 (/ x s)) |
(* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -4 (pow x 2)) (* -2 (pow x 2))) s))) s)) |
(* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -2 (pow x 2)) (* -1 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) s)))) s))) s)) |
(* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -2 (pow x 2)) (* -1 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (+ (* -1 (/ (+ (* -8/3 (pow x 4)) (+ (* -1 (pow x 4)) (* -1/3 (pow x 4)))) s)) (* -1 (pow x 3))))) s)))) s))) s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
1/2 |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
1 |
(+ 1 (* -2 (/ x s))) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2))))))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2))))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(/ -1 s) |
(- (* 1/2 (/ x (pow s 2))) (/ 1 s)) |
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)) |
(- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(* 2 (/ x s)) |
(* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s)))) |
(* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))) |
(* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))) |
(* 4 (/ x s)) |
(* x (+ (* -6 (/ x (pow s 2))) (* 4 (/ 1 s)))) |
(* x (+ (* x (- (* 17/3 (/ x (pow s 3))) (* 6 (/ 1 (pow s 2))))) (* 4 (/ 1 s)))) |
(* x (+ (* x (- (* x (+ (* -4 (/ x (pow s 4))) (* 17/3 (/ 1 (pow s 3))))) (* 6 (/ 1 (pow s 2))))) (* 4 (/ 1 s)))) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1/2 |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
1 |
(+ 1 (* -2 (/ x s))) |
(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))) |
(+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* -1 (/ x s)) |
(* x (- (/ 1 x) (/ 1 s))) |
(* x (- (/ 1 x) (/ 1 s))) |
(* x (- (/ 1 x) (/ 1 s))) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))) |
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))) |
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* -1/6 (/ (pow x 2) (pow s 3))) |
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))) |
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(- 1 (exp (* -2 (/ x s)))) |
(- 1 (exp (* -2 (/ x s)))) |
(- 1 (exp (* -2 (/ x s)))) |
(- 1 (exp (* -2 (/ x s)))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* -1/6 (/ x s)) |
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) |
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) |
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* -1 (/ x s)) |
(* -1 (* x (- (/ 1 s) (/ 1 x)))) |
(* -1 (* x (- (/ 1 s) (/ 1 x)))) |
(* -1 (* x (- (/ 1 s) (/ 1 x)))) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* -1/6 (/ (pow x 2) (pow s 3))) |
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(- 1 (exp (* -2 (/ x s)))) |
(- 1 (exp (* -2 (/ x s)))) |
(- 1 (exp (* -2 (/ x s)))) |
(- 1 (exp (* -2 (/ x s)))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(* -2 (/ x s)) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* -1/6 (/ x s)) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(/ (- s x) s) |
(/.f32 (-.f32 s x) s) |
(/ (- s x) s) |
(/.f32 (-.f32 s x) s) |
(/ (- s x) s) |
(/.f32 (-.f32 s x) s) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)) |
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)) |
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)) |
(/.f32 (fma.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)) |
(/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(* -1/6 (/ (pow x 2) (pow s 3))) |
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x) |
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3)) |
(/.f32 (*.f32 x (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3)) |
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3)) |
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* -1/6 (/ x s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 x s)) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x)) s) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(sqrt 1/2) |
(sqrt.f32 #s(literal 1/2 binary32)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))) |
(fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32)))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal 1/2 binary32))) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 s s))) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32)))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(/.f32 (-.f32 s x) s) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (/.f32 (-.f32 s x) s)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (/.f32 (-.f32 s x) s)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(/.f32 (-.f32 s x) s) |
(+ 1 (* -1 (/ x s))) |
(/.f32 (-.f32 s x) s) |
(+ 1 (* -1 (/ x s))) |
(/.f32 (-.f32 s x) s) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(/ -1 s) |
(/.f32 #s(literal -1 binary32) s) |
(/ (- (* 1/2 (/ x s)) 1) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) |
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s) |
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) |
(/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s) |
(/.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
(* 2 (/ x s)) |
(*.f32 (/.f32 #s(literal 2 binary32) s) x) |
(/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s) |
(*.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal -2 binary32)) |
(/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s) |
(fma.f32 #s(literal 4/3 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal -2 binary32))) |
(/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s) |
(/.f32 (-.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -2/3 binary32)) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal -4/3 binary32) s) (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (*.f32 (-.f32 (*.f32 x (/.f32 x s)) x) #s(literal 2 binary32)))) s) |
(* 4 (/ x s)) |
(*.f32 (/.f32 #s(literal 4 binary32) s) x) |
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -2 (/ (pow x 2) s)) (* 4 x))) s) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -6 binary32) (*.f32 #s(literal 4 binary32) x)) s) |
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -2 (/ (pow x 2) s)) (+ (* 2 (/ (pow x 3) (pow s 2))) (+ (* 8/3 (/ (pow x 3) (pow s 2))) (+ (* 4 x) (/ (pow x 3) (pow s 2))))))) s) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -6 binary32) (fma.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) s) #s(literal 14/3 binary32) (*.f32 x (fma.f32 (/.f32 x s) (/.f32 x s) #s(literal 4 binary32))))) s) |
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -8/3 (/ (pow x 4) (pow s 3))) (+ (* -2 (/ (pow x 2) s)) (+ (* -1 (/ (pow x 4) (pow s 3))) (+ (* -1/3 (/ (pow x 4) (pow s 3))) (+ (* 2 (/ (pow x 3) (pow s 2))) (+ (* 8/3 (/ (pow x 3) (pow s 2))) (+ (* 4 x) (/ (pow x 3) (pow s 2)))))))))) s) |
(/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal -8/3 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 s #s(literal 3 binary32))) #s(literal -4/3 binary32) (fma.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) s) #s(literal 14/3 binary32) (fma.f32 x (fma.f32 (/.f32 x s) (/.f32 x s) #s(literal 4 binary32)) (*.f32 (*.f32 x (/.f32 x s)) #s(literal -2 binary32))))))) s) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(/.f32 (-.f32 s x) s) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (/.f32 (-.f32 s x) s)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (/.f32 (-.f32 s x) s)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ x s))) |
(fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
(+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal 2 binary32) #s(literal 1 binary32)) |
(+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2)))))) |
(+.f32 (fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal 2 binary32) (*.f32 #s(literal -4/3 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) #s(literal 1 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(sqrt 1/2) |
(sqrt.f32 #s(literal 1/2 binary32)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s))) |
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32))) s)) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s))) |
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(/.f32 (-.f32 s x) s) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(/.f32 (-.f32 s x) s) |
(+ 1 (* -1 (/ x s))) |
(/.f32 (-.f32 s x) s) |
(+ 1 (* -1 (/ x s))) |
(/.f32 (-.f32 s x) s) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(/ -1 s) |
(/.f32 #s(literal -1 binary32) s) |
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s)) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) |
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s)) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s)) |
(* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s)) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
(* 2 (/ x s)) |
(*.f32 (/.f32 #s(literal 2 binary32) s) x) |
(* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s)) |
(*.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal -2 binary32)) |
(* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)) |
(fma.f32 #s(literal 4/3 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal -2 binary32))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)) |
(/.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -2 binary32) x) x) (/.f32 (fma.f32 #s(literal -4/3 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal 2/3 binary32))) s)) s) (*.f32 #s(literal -2 binary32) x)) s) |
(* 4 (/ x s)) |
(*.f32 (/.f32 #s(literal 4 binary32) s) x) |
(* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -4 (pow x 2)) (* -2 (pow x 2))) s))) s)) |
(/.f32 (fma.f32 #s(literal 6 binary32) (*.f32 x (/.f32 x s)) (*.f32 #s(literal -4 binary32) x)) (neg.f32 s)) |
(* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -2 (pow x 2)) (* -1 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (* -1 (pow x 3)))) s)))) s))) s)) |
(/.f32 (-.f32 (*.f32 #s(literal -4 binary32) x) (/.f32 (fma.f32 #s(literal -6 binary32) (*.f32 x x) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 17/3 binary32))) s)) (neg.f32 s)) |
(* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -4 (pow x 2)) (+ (* -2 (pow x 2)) (* -1 (/ (+ (* -8/3 (pow x 3)) (+ (* -2 (pow x 3)) (+ (* -1 (/ (+ (* -8/3 (pow x 4)) (+ (* -1 (pow x 4)) (* -1/3 (pow x 4)))) s)) (* -1 (pow x 3))))) s)))) s))) s)) |
(/.f32 (-.f32 (*.f32 #s(literal -4 binary32) x) (/.f32 (-.f32 (*.f32 #s(literal -6 binary32) (*.f32 x x)) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -17/3 binary32) (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal 4 binary32))) s)) s)) (neg.f32 s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(/.f32 (-.f32 s x) s) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -2 (/ x s))) |
(fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))) |
(fma.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal 2 binary32) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))) |
(-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 4/3 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 x (/.f32 x s)) x) s) #s(literal -2 binary32)))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)) |
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(sqrt 1/2) |
(sqrt.f32 #s(literal 1/2 binary32)) |
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(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))) |
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2 |
#s(literal 2 binary32) |
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(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
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1/2 |
#s(literal 1/2 binary32) |
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(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
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1/2 |
#s(literal 1/2 binary32) |
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(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
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#s(literal 2 binary32) |
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#s(literal 1 binary32) |
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(/.f32 (-.f32 s x) s) |
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#s(literal 1 binary32) |
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2 |
#s(literal 2 binary32) |
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1/2 |
#s(literal 1/2 binary32) |
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2 |
#s(literal 2 binary32) |
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#s(literal 1/2 binary32) |
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1 |
#s(literal 1 binary32) |
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1/2 |
#s(literal 1/2 binary32) |
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(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
1 |
#s(literal 1 binary32) |
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(+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 2 binary32) s) (+.f32 #s(literal -1 binary32) (/.f32 x s))) x #s(literal 1 binary32)) |
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(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(* -1/6 (/ (pow x 2) (pow s 3))) |
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)) |
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)) |
(* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* -1/6 (/ x s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 x s)) |
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x) |
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x) |
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (* x (- (/ 1 s) (/ 1 x)))) |
(/.f32 (-.f32 s x) s) |
(* -1 (* x (- (/ 1 s) (/ 1 x)))) |
(/.f32 (-.f32 s x) s) |
(* -1 (* x (- (/ 1 s) (/ 1 x)))) |
(/.f32 (-.f32 s x) s) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 s s) x)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x)) (neg.f32 (pow.f32 x #s(literal 3 binary32)))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x)) (neg.f32 (pow.f32 x #s(literal 3 binary32)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(* -1/6 (/ (pow x 2) (pow s 3))) |
(*.f32 (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))) |
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x)) |
(* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))) |
(*.f32 (-.f32 (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x)) (*.f32 x x)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(- 1 (exp (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(* -2 (/ x s)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* -1/6 (/ x s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 x s)) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) x) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) x) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) x) (/.f32 #s(literal -1/6 binary32) s)) x) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(exp (* -2 (/ x s))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 253 |
| 0 | 65 | 233 |
| 1 | 275 | 229 |
| 2 | 2145 | 229 |
| 0 | 8833 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) |
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))) |
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(*.f32 (/.f32 x s) #s(literal -2 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) |
| Outputs |
|---|
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Compiled 55 083 to 4 313 computations (92.2% saved)
59 alts after pruning (56 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 775 | 52 | 1 827 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 782 | 59 | 1 841 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) |
| 48.8% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) | |
| 48.8% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) | |
| 50.8% | (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) | |
| 50.8% | (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) | |
| 99.8% | (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) | |
| ✓ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))))) | |
| ▶ | 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) | |
| 33.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) | |
| 33.7% | (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) | |
| 33.7% | (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (neg.f32 s) x)) (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 (neg.f32 x) #s(literal -1 binary32)) (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal 1/6 binary32) (/.f32 (neg.f32 x) s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| ✓ | 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/6 binary32) x)) s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(approx (+ (* -1/6 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (/.f32 (neg.f32 s) x)) (/.f32 #s(literal -1 binary32) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (neg.f32 x) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (neg.f32 s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 33.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x (/.f32 s x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 31.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal -1/6 binary32)) (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 x s) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))) (*.f32 s (neg.f32 s))) x #s(literal 2 binary32)))) | |
| ▶ | 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))) (*.f32 (*.f32 s #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32)))) (neg.f32 (*.f32 s (neg.f32 s)))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32)))) (neg.f32 (*.f32 s s))) x #s(literal 2 binary32)))) | |
| ▶ | 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (neg.f32 s) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) s (*.f32 s (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 s s))) x #s(literal 2 binary32)))) | |
| 33.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (+.f32 (/.f32 #s(literal -1 binary32) s) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (+.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)))) | |
| 33.7% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32)))) | |
| 32.4% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) | |
| 23.9% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))) | |
| ▶ | 30.1% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
| ✓ | 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 2 306 to 1 661 computations (28% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 96 | (*.f32 s #s(literal -1 binary32)) | |
| cost-diff | 128 | (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) | |
| cost-diff | 160 | (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))) | |
| cost-diff | 576 | (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| cost-diff | 96 | (*.f32 s #s(literal -1 binary32)) | |
| cost-diff | 512 | (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) | |
| cost-diff | 0 | (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| cost-diff | 0 | (/.f32 x s) | |
| cost-diff | 0 | (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| cost-diff | 0 | (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) | |
| cost-diff | 0 | (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 520 |
| 0 | 85 | 489 |
| 1 | 158 | 474 |
| 2 | 462 | 473 |
| 3 | 1834 | 425 |
| 4 | 5601 | 425 |
| 0 | 8168 | 415 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal 1 binary32) |
#s(literal -2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal 1/4 binary32) |
(/.f32 x s) |
x |
s |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(/.f32 x s) |
x |
s |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
#s(literal -1 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)) |
(/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) |
(fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/6 binary32) |
(/.f32 x s) |
x |
s |
#s(literal 1/2 binary32) |
(*.f32 s #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 s s) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) |
(fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) |
(neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) |
(fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))) |
s |
(*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))) |
(*.f32 s #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/6 binary32) |
(/.f32 x s) |
x |
#s(literal 1/2 binary32) |
(neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) |
(*.f32 (*.f32 s #s(literal -1 binary32)) s) |
#s(literal 2 binary32) |
| Outputs |
|---|
(pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) |
(pow.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -2 binary32)) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal 1 binary32) |
#s(literal -2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
#s(literal 1/4 binary32) |
(/.f32 x s) |
x |
s |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32)) |
(/.f32 x s) |
x |
s |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
#s(literal -1 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)) |
(/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) |
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s) |
(fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (neg.f32 s)) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) |
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/6 binary32) |
(/.f32 x s) |
x |
s |
#s(literal 1/2 binary32) |
(*.f32 s #s(literal -1 binary32)) |
(neg.f32 s) |
#s(literal -1 binary32) |
(*.f32 s s) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))) |
(fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) |
(/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x #s(literal -1 binary32)) s) |
(neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (neg.f32 s)) |
(fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) |
s |
(*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x) |
(*.f32 s #s(literal -1 binary32)) |
(neg.f32 s) |
#s(literal -1 binary32) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) |
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/6 binary32) |
(/.f32 x s) |
x |
#s(literal 1/2 binary32) |
(neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) |
(*.f32 s s) |
(*.f32 (*.f32 s #s(literal -1 binary32)) s) |
(*.f32 (neg.f32 s) s) |
#s(literal 2 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.80111807346213 | (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))) | |
| accuracy | 15.626175338138214 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) | |
| accuracy | 25.39641055224566 | (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) | |
| accuracy | 29.473722176104303 | (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) | |
| accuracy | 15.626175338138214 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))) | |
| accuracy | 23.22091194638643 | (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) | |
| accuracy | 26.854728320693514 | (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)) | |
| accuracy | 29.750116489951594 | (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) | |
| accuracy | 0.03125 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| accuracy | 16.36625175205836 | #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) | |
| accuracy | 25.774373242400276 | (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) | |
| accuracy | 29.159491317230614 | (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) | |
| accuracy | 0 | (/.f32 x s) | |
| accuracy | 23.588371709323223 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) | |
| accuracy | 29.68895093110951 | (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) | |
| accuracy | 0.01171875 | (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) | |
| accuracy | 0.019167541389095776 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| accuracy | 0.03972626953688403 | (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) | |
| accuracy | 0.11020039114083799 | (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
| 100.0ms | 256× | 0 | valid |
Compiled 868 to 88 computations (89.9% saved)
ival-mult: 22.0ms (29.1% of total)ival-add: 16.0ms (21.2% of total)ival-neg: 14.0ms (18.5% of total)ival-div: 11.0ms (14.6% of total)const: 4.0ms (5.3% of total)ival-pow: 4.0ms (5.3% of total)ival-exp: 2.0ms (2.6% of total)ival-sqrt: 2.0ms (2.6% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) (patch (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ()) |
#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (patch (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 s #s(literal -1 binary32)) (patch (*.f32 s #s(literal -1 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))) (patch (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))) (patch (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))) #<representation binary32>) () ()) |
#s(alt (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) (patch (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) (patch (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) (patch (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) (patch (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) (patch (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (patch (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor 0 s) (#s(alt (exp.f32 (/.f32 (neg.f32 x) s)) (patch (exp.f32 (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/4 (/ x s)) (taylor 0 s) (#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ()) |
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ()) |
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ()) |
#s(alt (/ x s) (taylor 0 s) (#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1/6 (/ (pow x 3) (pow s 3))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) #<representation binary32>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | s | @ | 0 | ((pow (sqrt (+ (exp (/ (neg x) s)) 1)) -2) (sqrt (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (* s -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (neg (* (* s -1) s)) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (* s s)) x) 2) (+ (* (/ (neg (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))))) (neg (* (* s -1) s))) x) 2) (+ 1 (exp (/ (neg x) s)))) |
| 3.0ms | s | @ | inf | ((pow (sqrt (+ (exp (/ (neg x) s)) 1)) -2) (sqrt (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (* s -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (neg (* (* s -1) s)) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (* s s)) x) 2) (+ (* (/ (neg (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))))) (neg (* (* s -1) s))) x) 2) (+ 1 (exp (/ (neg x) s)))) |
| 3.0ms | x | @ | inf | ((pow (sqrt (+ (exp (/ (neg x) s)) 1)) -2) (sqrt (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (* s -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (neg (* (* s -1) s)) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (* s s)) x) 2) (+ (* (/ (neg (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))))) (neg (* (* s -1) s))) x) 2) (+ 1 (exp (/ (neg x) s)))) |
| 3.0ms | s | @ | -inf | ((pow (sqrt (+ (exp (/ (neg x) s)) 1)) -2) (sqrt (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (* s -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (neg (* (* s -1) s)) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (* s s)) x) 2) (+ (* (/ (neg (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))))) (neg (* (* s -1) s))) x) 2) (+ 1 (exp (/ (neg x) s)))) |
| 2.0ms | x | @ | -inf | ((pow (sqrt (+ (exp (/ (neg x) s)) 1)) -2) (sqrt (+ (exp (/ (neg x) s)) 1)) (+ (exp (/ (neg x) s)) 1) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (* s -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (neg (* (* s -1) s)) (+ (* (/ 1/2 s) x) -1) (+ (* -1/6 (/ x s)) 1/2) (+ (* (/ (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (* s s)) x) 2) (+ (* (/ (neg (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))))) (neg (* (* s -1) s))) x) 2) (+ 1 (exp (/ (neg x) s)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 385 | 5280 |
| 1 | 1132 | 4959 |
| 2 | 3739 | 4792 |
| 0 | 8241 | 4499 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(* 1/4 (/ x s)) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/ x s) |
(/ x s) |
(/ x s) |
(/ x s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2)) |
(* -1/6 (/ (pow x 2) s)) |
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s) |
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) s) |
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* 1/6 (/ (pow x 2) s)) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(* 1/6 (/ (pow x 2) s)) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(* 1/2 (/ x s)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(* -1/6 (/ x s)) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(sqrt 2) |
(+ (sqrt 2) (* -1/2 (/ x (* s (sqrt 2))))) |
(+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 2)))))) |
(+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* (pow s 3) (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 2))))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* 1/4 (/ x s))) |
(/ x s) |
(/ x s) |
(/ x s) |
(/ x s) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(* -1 s) |
(* s (- (* 1/2 (/ x s)) 1)) |
(* s (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1)) |
(* s (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1)) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
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s |
(* s (+ 1 (* -1/2 (/ x s)))) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
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(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
-1 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
1/2 |
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2 |
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2 |
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(sqrt 2) |
(+ (sqrt 2) (* -1/2 (/ x (* s (sqrt 2))))) |
(+ (sqrt 2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ x (sqrt 2)))) s))) |
(+ (sqrt 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (sqrt 2)))) s)) (* 1/2 (/ x (sqrt 2)))) s))) |
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1 |
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(/ x s) |
(/ x s) |
(/ x s) |
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1/2 |
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2 |
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1 |
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(* -1 s) |
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2 |
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s |
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(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
-1 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
1/2 |
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2 |
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2 |
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2 |
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1/2 |
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(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(sqrt 2) |
(+ (sqrt 2) (* -1/2 (/ x (* s (sqrt 2))))) |
(+ (sqrt 2) (* x (- (* 1/2 (/ (* x (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ 1 (* s (sqrt 2))))))) |
(+ (sqrt 2) (* x (- (* x (+ (* -1/2 (/ (* x (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3))))) (sqrt 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (sqrt 2))))) (* 1/2 (/ 1 (* s (sqrt 2))))))) |
2 |
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1 |
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1/2 |
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1/2 |
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(/ x s) |
(/ x s) |
(/ x s) |
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2 |
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1/2 |
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2 |
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(* -1/2 x) |
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(* x (- (* 1/6 (/ x s)) 1/2)) |
(* x (- (* 1/6 (/ x s)) 1/2)) |
s |
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-1 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
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1/2 |
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2 |
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(/ x s) |
(/ x s) |
(/ x s) |
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(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
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(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
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(/ x s) |
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(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2)) |
(/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2)) |
(/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s) |
(* -1/6 (/ (pow x 2) s)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) x) |
(/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) s) |
(/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s))) s) |
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) s) |
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) s) |
(/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) s) |
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(* 1/6 (/ (pow x 2) s)) |
(*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 x s))) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) s (*.f32 #s(literal 1/6 binary32) x))) s) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) s (*.f32 #s(literal 1/6 binary32) x))) s) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) s (*.f32 #s(literal 1/6 binary32) x))) s) |
(* 1/6 (/ (pow x 2) s)) |
(*.f32 #s(literal 1/6 binary32) (*.f32 x (/.f32 x s))) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) s (*.f32 #s(literal 1/6 binary32) x))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x s) s (*.f32 #s(literal 1/6 binary32) (*.f32 x x))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x s) s (*.f32 #s(literal 1/6 binary32) (*.f32 x x))) s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) s) |
(* -1/6 (/ x s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 x s)) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)) |
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)) |
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)) |
(/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s)) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32))) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)) |
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)) |
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)) |
(/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s)) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
(sqrt 2) |
(sqrt.f32 #s(literal 2 binary32)) |
(+ (sqrt 2) (* -1/2 (/ x (* s (sqrt 2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32))) |
(+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 2)))))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) #s(literal -1/4 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32)))) |
(+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* (pow s 3) (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 2))))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) #s(literal -1/4 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) x) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) #s(literal -1/4 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32)))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 2 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 2 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 1 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(* -1 s) |
(neg.f32 s) |
(* s (- (* 1/2 (/ x s)) 1)) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) |
(* s (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1)) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) |
(* s (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1)) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 2 binary32))) |
(* -1/2 x) |
(*.f32 #s(literal -1/2 binary32) x) |
(+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) |
(+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) |
(+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) |
s |
(* s (+ 1 (* -1/2 (/ x s)))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
-1 |
#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) #s(literal 2 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
(sqrt 2) |
(sqrt.f32 #s(literal 2 binary32)) |
(+ (sqrt 2) (* -1/2 (/ x (* s (sqrt 2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32))) |
(+ (sqrt 2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ x (sqrt 2)))) s))) |
(-.f32 (sqrt.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) #s(literal -1/4 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) (*.f32 (/.f32 x (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32))) s)) |
(+ (sqrt 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (sqrt 2)))) s)) (* 1/2 (/ x (sqrt 2)))) s))) |
(-.f32 (sqrt.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) #s(literal -1/4 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) x) #s(literal 2 binary32)) #s(literal -1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) s) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 2 binary32)) #s(literal -1/4 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (neg.f32 s))) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(* -1 s) |
(neg.f32 s) |
(* -1 (* s (+ 1 (* -1/2 (/ x s))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) s) (neg.f32 x) #s(literal -1 binary32)) s) |
(* -1 (* s (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))))) |
(fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s (neg.f32 s)) |
(* -1 (* s (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))))) |
(fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s (neg.f32 s)) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(* -1/2 x) |
(*.f32 #s(literal -1/2 binary32) x) |
(+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) |
(+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) |
(+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) |
s |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) |
(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) s)) (neg.f32 s)) |
(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) s)) (neg.f32 s)) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
-1 |
#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(sqrt 2) |
(sqrt.f32 #s(literal 2 binary32)) |
(+ (sqrt 2) (* -1/2 (/ x (* s (sqrt 2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32))) |
(+ (sqrt 2) (* x (- (* 1/2 (/ (* x (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ 1 (* s (sqrt 2))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (/.f32 x (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) s))) x (sqrt.f32 #s(literal 2 binary32))) |
(+ (sqrt 2) (* x (- (* x (+ (* -1/2 (/ (* x (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3))))) (sqrt 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (sqrt 2))))) (* 1/2 (/ 1 (* s (sqrt 2))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32) (*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) s) #s(literal -1/4 binary32) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (/.f32 x (sqrt.f32 #s(literal 2 binary32)))) #s(literal -1/2 binary32))) x (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) s))) x (sqrt.f32 #s(literal 2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(* -1 s) |
(neg.f32 s) |
(+ (* -1 s) (* 1/2 x)) |
(-.f32 (*.f32 #s(literal 1/2 binary32) x) s) |
(+ (* -1 s) (* x (+ 1/2 (* -1/6 (/ x s))))) |
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) |
(+ (* -1 s) (* x (+ 1/2 (* -1/6 (/ x s))))) |
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(* -1/2 x) |
(*.f32 #s(literal -1/2 binary32) x) |
(* x (- (* 1/6 (/ x s)) 1/2)) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x) |
(* x (- (* 1/6 (/ x s)) 1/2)) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x) |
(* x (- (* 1/6 (/ x s)) 1/2)) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x) |
s |
(+ s (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
(+ s (* x (- (* 1/6 (/ x s)) 1/2))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) |
(+ s (* x (- (* 1/6 (/ x s)) 1/2))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) |
-1 |
#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(sqrt (+ 1 (exp (* -1 (/ x s))))) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
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(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32)) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 s x) s)) (/.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x)) x) (pow.f32 x #s(literal 3 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 338 |
| 0 | 83 | 323 |
| 1 | 342 | 311 |
| 2 | 2840 | 296 |
| 0 | 8356 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) |
(sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) |
(*.f32 s #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32))) |
(*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))) |
(fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)))) |
(neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)) |
(fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) |
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|---|
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Compiled 37 635 to 4 684 computations (87.6% saved)
79 alts after pruning (74 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 463 | 58 | 1 521 |
| Fresh | 35 | 16 | 51 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 501 | 79 | 1 580 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) |
| 48.8% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) | |
| 48.8% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) | |
| 50.8% | (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) | |
| 50.8% | (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32))) | |
| ▶ | 99.8% | (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) |
| ✓ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| ✓ | 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) | |
| ▶ | 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
| 49.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s))) (/.f32 (neg.f32 x) s))))) | |
| 36.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))) | |
| 35.6% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))) | |
| 37.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) | |
| 33.7% | (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) | |
| 33.7% | (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 x #s(literal 1 binary32)) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))) (*.f32 s (neg.f32 s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 #s(literal -1 binary32) s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (neg.f32 x) s))) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #s(literal -1 binary32)) #s(literal -1 binary32) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 x s) s) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (neg.f32 s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (/.f32 x s) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| ▶ | 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (/.f32 (neg.f32 x) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 s #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 s #s(literal -1 binary32) (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #s(literal -1 binary32) s)) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 s #s(literal -1 binary32) (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 s) (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (+.f32 #s(literal 0 binary32) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) s (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) s)) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| ▶ | 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) s) s (neg.f32 s))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (*.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 33.7% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) | |
| 23.9% | #s(approx (pow (sqrt (+ (exp (/ (neg x) s)) 1)) -2) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))) | |
| 33.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s x)) s) (*.f32 (neg.f32 s) (/.f32 s x))) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (*.f32 (neg.f32 x) #s(literal 1 binary32)))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (/.f32 (neg.f32 x) s))) (neg.f32 s)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) | |
| ✓ | 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) | |
| 32.6% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) | |
| 26.3% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) | |
| ▶ | 7.4% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
| ✓ | 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 2 616 to 2 021 computations (22.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| cost-diff | 576 | (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| cost-diff | 96 | (*.f32 s #s(literal -1 binary32)) | |
| cost-diff | 128 | (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) | |
| cost-diff | 0 | #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) | |
| cost-diff | 96 | (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)) | |
| cost-diff | 0 | (/.f32 x s) | |
| cost-diff | 0 | (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) | |
| cost-diff | 0 | #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) | |
| cost-diff | 0 | #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) | |
| cost-diff | 0 | (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 574 |
| 0 | 100 | 545 |
| 1 | 166 | 529 |
| 2 | 389 | 529 |
| 3 | 1540 | 485 |
| 4 | 4727 | 485 |
| 5 | 7813 | 485 |
| 0 | 8130 | 472 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) |
#s(literal 1 binary32) |
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
#s(literal 1/4 binary32) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) |
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)) |
#s(literal -1 binary32) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) |
(fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) |
(/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) |
(neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) |
#s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
#s(literal -1/2 binary32) |
x |
s |
(neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) |
(*.f32 (*.f32 s #s(literal -1 binary32)) s) |
(*.f32 s #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32))) |
(fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)) |
(/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) |
(fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) |
(neg.f32 s) |
s |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/6 binary32) |
(/.f32 x s) |
x |
#s(literal 1/2 binary32) |
(*.f32 s s) |
#s(literal 2 binary32) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) |
#s(literal 1 binary32) |
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(*.f32 (/.f32 x s) #s(literal 1/4 binary32)) |
#s(literal 1/4 binary32) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))) |
(+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) |
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
#s(literal -1 binary32) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (/.f32 (neg.f32 x) s) s) #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (/.f32 (neg.f32 x) s) s) #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) #s(literal 2 binary32))) |
(fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) |
(fma.f32 (/.f32 (/.f32 (neg.f32 x) s) s) #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) #s(literal 2 binary32)) |
(/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) |
(/.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) (*.f32 (neg.f32 s) s)) |
(neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) |
#s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
#s(literal -1/2 binary32) |
x |
s |
(neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) |
(*.f32 s s) |
(*.f32 (*.f32 s #s(literal -1 binary32)) s) |
(*.f32 (neg.f32 s) s) |
(*.f32 s #s(literal -1 binary32)) |
(neg.f32 s) |
#s(literal -1 binary32) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) #s(literal 2 binary32))) |
(fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)) |
(fma.f32 (/.f32 (/.f32 x s) s) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) #s(literal 2 binary32)) |
(/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) |
(/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) s) s) |
(fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) |
(neg.f32 s) |
s |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) |
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/6 binary32) |
(/.f32 x s) |
x |
#s(literal 1/2 binary32) |
(*.f32 s s) |
#s(literal 2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 15.04860628999501 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32))) | |
| accuracy | 15.776384857670822 | (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)) | |
| accuracy | 19.720687459125354 | (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) | |
| accuracy | 20.102710074797848 | (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) | |
| accuracy | 14.884489125442071 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) | |
| accuracy | 15.071842398422813 | #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) | |
| accuracy | 17.451809255918352 | (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) | |
| accuracy | 19.683021950214627 | (fma.f32 #s(literal -1/2 binary32) x s) | |
| accuracy | 0.01171875 | (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))) | |
| accuracy | 0.03125 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) | |
| accuracy | 14.9893352126355 | #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) | |
| accuracy | 19.217559295593492 | (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)) | |
| accuracy | 0 | (/.f32 x s) | |
| accuracy | 0.08312539784845334 | (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) | |
| accuracy | 6.968363661168711 | #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) | |
| accuracy | 13.973390854375655 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) | |
| accuracy | 0.02734375 | (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) | |
| accuracy | 0.03125 | (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) | |
| accuracy | 0.03125 | (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) | |
| accuracy | 0.11373928688337001 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
| 87.0ms | 176× | 0 | valid |
| 61.0ms | 80× | 1 | exit |
Compiled 757 to 96 computations (87.3% saved)
ival-mult: 20.0ms (23.4% of total)ival-pow: 20.0ms (23.4% of total)ival-add: 13.0ms (15.2% of total)ival-div: 12.0ms (14.1% of total)adjust: 6.0ms (7% of total)ival-neg: 5.0ms (5.9% of total)const: 4.0ms (4.7% of total)ival-exp: 2.0ms (2.3% of total)ival-sqrt: 2.0ms (2.3% 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 (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) #<representation binary32>) () ()) |
#s(alt (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) (patch (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) (patch #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (patch (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #<representation binary32>) () ()) |
#s(alt (/.f32 x s) (patch (/.f32 x s) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) (patch (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) #<representation binary32>) () ()) |
#s(alt (*.f32 s #s(literal -1 binary32)) (patch (*.f32 s #s(literal -1 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (patch (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32))) (patch #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal -1/2 binary32) x s) (patch (fma.f32 #s(literal -1/2 binary32) x s) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) (patch #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) (patch (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) (patch (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) (patch (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) (patch (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#s(alt (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) (patch (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) (patch #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) (patch #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) (patch #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) (patch #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) (taylor 0 s) (#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (/ 1 (* s x)) (/ 2 (pow x 2))) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)) (patch (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1/2 x) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/2 binary32) x s) (patch (fma.f32 #s(literal -1/2 binary32) x s) #<representation binary32>) () ())) ()) |
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#s(alt (* 1/6 (/ (pow x 2) s)) (taylor -inf x) (#s(alt #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) (patch #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) (patch #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) (patch #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s)))) (taylor -inf x) (#s(alt #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) (patch #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (patch (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | -inf | ((/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt (/ 1 (+ (exp (/ (neg x) s)) 1))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (+ (* -1 (/ x s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (neg (* (* s -1) s)) (* s -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (* s s)) x) 2) (/ 1 (+ (exp (/ (neg x) s)) 1)) (+ (* -1/2 x) s) (+ (* (/ (neg (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))))) (neg (* (* s -1) s))) x) 2) (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (+ (* -1/6 (/ x s)) 1/2)) |
| 2.0ms | x | @ | inf | ((/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt (/ 1 (+ (exp (/ (neg x) s)) 1))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (+ (* -1 (/ x s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (neg (* (* s -1) s)) (* s -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (* s s)) x) 2) (/ 1 (+ (exp (/ (neg x) s)) 1)) (+ (* -1/2 x) s) (+ (* (/ (neg (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))))) (neg (* (* s -1) s))) x) 2) (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (+ (* -1/6 (/ x s)) 1/2)) |
| 2.0ms | s | @ | 0 | ((/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt (/ 1 (+ (exp (/ (neg x) s)) 1))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (+ (* -1 (/ x s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (neg (* (* s -1) s)) (* s -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (* s s)) x) 2) (/ 1 (+ (exp (/ (neg x) s)) 1)) (+ (* -1/2 x) s) (+ (* (/ (neg (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))))) (neg (* (* s -1) s))) x) 2) (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (+ (* -1/6 (/ x s)) 1/2)) |
| 2.0ms | s | @ | inf | ((/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt (/ 1 (+ (exp (/ (neg x) s)) 1))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (+ (* -1 (/ x s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (neg (* (* s -1) s)) (* s -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (* s s)) x) 2) (/ 1 (+ (exp (/ (neg x) s)) 1)) (+ (* -1/2 x) s) (+ (* (/ (neg (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))))) (neg (* (* s -1) s))) x) 2) (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (+ (* -1/6 (/ x s)) 1/2)) |
| 2.0ms | s | @ | -inf | ((/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt (/ 1 (+ (exp (/ (neg x) s)) 1))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (+ (* -1 (/ x s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (neg (* (* s -1) s)) (* s -1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (* s s)) x) 2) (/ 1 (+ (exp (/ (neg x) s)) 1)) (+ (* -1/2 x) s) (+ (* (/ (neg (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))))) (neg (* (* s -1) s))) x) 2) (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (+ (* -1/6 (/ x s)) 1/2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 416 | 5886 |
| 1 | 1194 | 5351 |
| 2 | 3793 | 5130 |
| 0 | 8694 | 4871 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(* 1/4 (/ x s)) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(/ x s) |
(/ x s) |
(/ x s) |
(/ x s) |
(* -1 (/ x s)) |
(/ (+ s (* -1 x)) s) |
(/ (+ s (* -1 x)) s) |
(/ (+ s (* -1 x)) s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* 1/6 (/ (pow x 2) s)) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* 1/6 (/ (pow x 3) (pow s 3))) |
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) (pow s 3)) |
(/ (+ (* 1/6 (pow x 3)) (* s (+ (* -1/2 (pow x 2)) (* s x)))) (pow s 3)) |
(/ (+ (* 1/6 (pow x 3)) (* s (+ (* -1/2 (pow x 2)) (* s (+ x (* 2 s)))))) (pow s 3)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(* -1/2 x) |
(+ s (* -1/2 x)) |
(+ s (* -1/2 x)) |
(+ s (* -1/2 x)) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)) |
(* 1/6 (/ (pow x 2) s)) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(* -1/6 (/ x s)) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* 1/4 (/ x s))) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(/ x s) |
(/ x s) |
(/ x s) |
(/ x s) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
s |
(* s (+ 1 (* -1/2 (/ x s)))) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
2 |
(+ 2 (/ x s)) |
(+ 2 (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s))) |
(+ 2 (+ (* -1/2 (/ (pow x 2) (pow s 2))) (+ (* 1/6 (/ (pow x 3) (pow s 3))) (/ x s)))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
s |
(* s (+ 1 (* -1/2 (/ x s)))) |
(* s (+ 1 (* -1/2 (/ x s)))) |
(* s (+ 1 (* -1/2 (/ x s)))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
s |
(* s (+ 1 (* -1/2 (/ x s)))) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
1/2 |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* 1/4 (/ x s))) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(/ x s) |
(/ x s) |
(/ x s) |
(/ x s) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(pow s 2) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
(* -1 s) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
s |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
2 |
(+ 2 (/ x s)) |
(+ 2 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))) s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
s |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
s |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
1/2 |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2))))))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2))))))) |
(sqrt 1/2) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2))))))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2))))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* 1/4 (/ x s))) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(/ x s) |
(/ x s) |
(/ x s) |
(/ x s) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ x s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
s |
(+ s (* -1/2 x)) |
(+ s (* x (- (* 1/6 (/ x s)) 1/2))) |
(+ s (* x (- (* 1/6 (/ x s)) 1/2))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
2 |
(+ 2 (/ x s)) |
(+ 2 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
s |
(+ s (* -1/2 x)) |
(+ s (* -1/2 x)) |
(+ s (* -1/2 x)) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
s |
(+ s (* -1/2 x)) |
(+ s (* x (- (* 1/6 (/ x s)) 1/2))) |
(+ s (* x (- (* 1/6 (/ x s)) 1/2))) |
1/2 |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
(+ 1/2 (* -1/6 (/ x s))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(* 1/4 (/ x s)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(/ x s) |
(/ x s) |
(/ x s) |
(/ x s) |
(* -1 (/ x s)) |
(* x (- (/ 1 x) (/ 1 s))) |
(* x (- (/ 1 x) (/ 1 s))) |
(* x (- (/ 1 x) (/ 1 s))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* 1/6 (/ (pow x 2) s)) |
(* (pow x 2) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 s)) (/ s (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 s)) (/ s (pow x 2))) (* 1/2 (/ 1 x)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* 1/6 (/ (pow x 3) (pow s 3))) |
(* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x))))) |
(* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (* 1/6 (/ 1 (pow s 3)))) (/ 1/2 (* (pow s 2) x)))) |
(* (pow x 3) (- (+ (/ 1 (* s (pow x 2))) (+ (* 1/6 (/ 1 (pow s 3))) (* 2 (/ 1 (pow x 3))))) (/ 1/2 (* (pow s 2) x)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(* -1/2 x) |
(* x (- (/ s x) 1/2)) |
(* x (- (/ s x) 1/2)) |
(* x (- (/ s x) 1/2)) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))) |
(* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))) |
(* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))) |
(* 1/6 (/ (pow x 2) s)) |
(* (pow x 2) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 s)) (/ s (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 s)) (/ s (pow x 2))) (* 1/2 (/ 1 x)))) |
(* -1/6 (/ x s)) |
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) |
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) |
(* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(* 1/4 (/ x s)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(* 1/4 (/ x s)) |
(/ x s) |
(/ x s) |
(/ x s) |
(/ x s) |
(* -1 (/ x s)) |
(* -1 (* x (- (/ 1 s) (/ 1 x)))) |
(* -1 (* x (- (/ 1 s) (/ 1 x)))) |
(* -1 (* x (- (/ 1 s) (/ 1 x)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* 1/6 (/ (pow x 2) s)) |
(* (pow x 2) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s)))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* 1/6 (/ (pow x 3) (pow s 3))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (/ 1 (* s x)) (/ 2 (pow x 2))) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* -1 (/ s x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ s x))))) |
(* -1 (* x (+ 1/2 (* -1 (/ s x))))) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))) |
(* 1/6 (/ (pow x 2) s)) |
(* (pow x 2) (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s)))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s)))) |
(* -1/6 (/ x s)) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(/ (+ s (* -1 x)) s) |
(/.f32 (-.f32 s x) s) |
(/ (+ s (* -1 x)) s) |
(/.f32 (-.f32 s x) s) |
(/ (+ s (* -1 x)) s) |
(/.f32 (-.f32 s x) s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(* 1/6 (/ (pow x 2) s)) |
(*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/6 binary32)) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) s (*.f32 #s(literal 1/6 binary32) x))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x s) s (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x s) s (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(* 1/6 (/ (pow x 3) (pow s 3))) |
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32)) |
(/ (+ (* -1/2 (* s (pow x 2))) (* 1/6 (pow x 3))) (pow s 3)) |
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/2 binary32) s (*.f32 #s(literal 1/6 binary32) x))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* 1/6 (pow x 3)) (* s (+ (* -1/2 (pow x 2)) (* s x)))) (pow s 3)) |
(/.f32 (fma.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) x s)) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* 1/6 (pow x 3)) (* s (+ (* -1/2 (pow x 2)) (* s (+ x (* 2 s)))))) (pow s 3)) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s x) s (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)) s (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) (pow.f32 s #s(literal 3 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* -1/2 x) |
(*.f32 #s(literal -1/2 binary32) x) |
(+ s (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
(+ s (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
(+ s (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
(* -1/6 (/ (pow x 3) (pow s 3))) |
(*.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)) |
(/.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)) |
(/.f32 (fma.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) s (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 s #s(literal 3 binary32))) |
(/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)) |
(/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 s #s(literal 3 binary32))) |
(* 1/6 (/ (pow x 2) s)) |
(*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/6 binary32)) |
(/ (+ (* -1/2 (* s x)) (* 1/6 (pow x 2))) s) |
(/.f32 (*.f32 x (fma.f32 #s(literal -1/2 binary32) s (*.f32 #s(literal 1/6 binary32) x))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x s) s (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s) |
(/ (+ (* 1/6 (pow x 2)) (* s (+ s (* -1/2 x)))) s) |
(/.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x s) s (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s) |
(* -1/6 (/ x s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 x s)) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) |
(/ (+ (* -1/6 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal -1/6 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32))) |
(sqrt 1/2) |
(sqrt.f32 #s(literal 1/2 binary32)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))) |
(fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32)))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal 1/2 binary32))) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 s s))) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32)))) |
(sqrt 1/2) |
(sqrt.f32 #s(literal 1/2 binary32)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2)))))) |
(fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32)))) |
(+ (sqrt 1/2) (+ (* -1/2 (/ (+ (* -1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2))) (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))))))) (* (pow s 3) (sqrt 1/2)))) (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* (pow s 2) (sqrt 1/2)))) (* 1/8 (/ x (* s (sqrt 1/2))))))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal 1/2 binary32))) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal -1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 s s))) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32)))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 1 binary32))) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32))) |
s |
(* s (+ 1 (* -1/2 (/ x s)))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (/ x s)) |
(+.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ x s))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (+ (* -1/2 (/ (pow x 2) (pow s 2))) (+ (* 1/6 (/ (pow x 3) (pow s 3))) (/ x s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) #s(literal 2 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
s |
(* s (+ 1 (* -1/2 (/ x s)))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) |
(* s (+ 1 (* -1/2 (/ x s)))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) |
(* s (+ 1 (* -1/2 (/ x s)))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32))) |
s |
(* s (+ 1 (* -1/2 (/ x s)))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s) |
(* s (+ 1 (+ (* -1/2 (/ x s)) (* 1/6 (/ (pow x 2) (pow s 2)))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 x (/.f32 x s)) s) #s(literal 1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(sqrt 1/2) |
(sqrt.f32 #s(literal 1/2 binary32)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s))) |
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32))) s)) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s))) |
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) s)) s)) |
(sqrt 1/2) |
(sqrt.f32 #s(literal 1/2 binary32)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1/8 (/ x (sqrt 1/2))) (* 1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (* s (sqrt 1/2))))) s))) |
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32))) s)) |
(+ (sqrt 1/2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2)))) (sqrt 1/2))) (* 1/2 (/ (+ (* -1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))) (+ (* -1/16 (pow x 3)) (+ (* 1/24 (pow x 3)) (* 1/8 (/ (* x (+ (* -1/8 (pow x 2)) (+ (* 1/64 (/ (pow x 2) (pow (sqrt 1/2) 2))) (* 1/8 (pow x 2))))) (pow (sqrt 1/2) 2)))))) (* s (sqrt 1/2))))) s)) (* -1/8 (/ x (sqrt 1/2)))) s))) |
(-.f32 (sqrt.f32 #s(literal 1/2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 x (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/8 binary32)) (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (/.f32 x #s(literal 1/2 binary32))) #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (sqrt.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 (*.f32 (/.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/64 binary32)) (sqrt.f32 #s(literal 1/2 binary32))) #s(literal -1/2 binary32))) s)) s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(pow s 2) |
(*.f32 s s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
(* -1 s) |
(neg.f32 s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
s |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (neg.f32 s)) |
(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) s)) (neg.f32 s)) |
(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) s)) (neg.f32 s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (/ x s)) |
(+.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s)) |
(+ 2 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))) s))) |
(+.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) x) x)) s) x) s) #s(literal 2 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s)) |
s |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (neg.f32 s)) |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (neg.f32 s)) |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (neg.f32 s)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
s |
(* -1 (* s (- (* 1/2 (/ x s)) 1))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (neg.f32 s)) |
(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) s)) (neg.f32 s)) |
(* -1 (* s (- (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ (pow x 2) s))) s)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) s)) (neg.f32 s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(sqrt 1/2) |
(sqrt.f32 #s(literal 1/2 binary32)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2))))))) |
(fma.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s)) #s(literal -1/64 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s))) x (sqrt.f32 #s(literal 1/2 binary32))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 4 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (/.f32 x (sqrt.f32 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/128 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s) #s(literal 1/2 binary32)))) x (/.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s))) x (sqrt.f32 #s(literal 1/2 binary32))) |
(sqrt 1/2) |
(sqrt.f32 #s(literal 1/2 binary32)) |
(+ (sqrt 1/2) (* 1/8 (/ x (* s (sqrt 1/2))))) |
(fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s)) #s(literal 1/8 binary32) (sqrt.f32 #s(literal 1/2 binary32))) |
(+ (sqrt 1/2) (* x (+ (* -1/128 (/ x (* (pow s 2) (pow (sqrt 1/2) 3)))) (* 1/8 (/ 1 (* s (sqrt 1/2))))))) |
(fma.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s)) #s(literal -1/64 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s))) x (sqrt.f32 #s(literal 1/2 binary32))) |
(+ (sqrt 1/2) (* x (+ (* x (- (* 1/2 (/ (* x (- (* 1/512 (/ 1 (* (pow s 3) (pow (sqrt 1/2) 4)))) (* 1/48 (/ 1 (pow s 3))))) (sqrt 1/2))) (* 1/128 (/ 1 (* (pow s 2) (pow (sqrt 1/2) 3)))))) (* 1/8 (/ 1 (* s (sqrt 1/2))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/512 binary32) (pow.f32 (sqrt.f32 #s(literal 1/2 binary32)) #s(literal 4 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (/.f32 x (sqrt.f32 #s(literal 1/2 binary32)))) #s(literal 1/2 binary32) (/.f32 #s(literal -1/128 binary32) (*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s) s) #s(literal 1/2 binary32)))) x (/.f32 #s(literal 1/8 binary32) (*.f32 (sqrt.f32 #s(literal 1/2 binary32)) s))) x (sqrt.f32 #s(literal 1/2 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
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1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
s |
(+ s (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
(+ s (* x (- (* 1/6 (/ x s)) 1/2))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) |
(+ s (* x (- (* 1/6 (/ x s)) 1/2))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (/ x s)) |
(+.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal 1/6 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/480 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
s |
(+ s (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
(+ s (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
(+ s (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
s |
(+ s (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x s) |
(+ s (* x (- (* 1/6 (/ x s)) 1/2))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) |
(+ s (* x (- (* 1/6 (/ x s)) 1/2))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal -1/2 binary32)) x s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1/6 (/ x s))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(sqrt (/ 1 (+ 1 (exp (* -1 (/ x s)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(* 1/4 (/ x s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* x (- (/ 1 x) (/ 1 s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(* x (- (/ 1 x) (/ 1 s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(* x (- (/ 1 x) (/ 1 s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
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(*.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) s) x #s(literal -1/2 binary32)) x) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s)))) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 s x)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (+ 1/2 (* -1 (/ s x))) x)) (* 1/6 (/ 1 s)))) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) s) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 s x)) x)) x) x) |
(* -1/6 (/ x s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 x s)) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 434 |
| 0 | 100 | 411 |
| 1 | 378 | 395 |
| 2 | 2561 | 395 |
| 0 | 8943 | 391 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) |
(pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32)) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/.f32 x s) |
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) |
(neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s)) |
(*.f32 s #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32))) |
(fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32))) |
(fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(fma.f32 #s(literal -1/2 binary32) x s) |
(fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)) |
#s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
| Outputs |
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Compiled 26 847 to 3 986 computations (85.2% saved)
96 alts after pruning (88 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 279 | 33 | 1 312 |
| Fresh | 14 | 55 | 69 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 295 | 96 | 1 391 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) |
| 48.8% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) | |
| 48.8% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) | |
| 50.8% | (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32))) | |
| 50.8% | (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) |
| ✓ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 s)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1 binary32))))) | |
| ✓ | 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal -1 binary32))) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) | |
| 36.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))) | |
| 35.6% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)))))) | |
| 37.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))) | |
| 33.7% | (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) | |
| 33.7% | (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| 50.5% | (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) (*.f32 s #s(literal 1 binary32))) (*.f32 s (neg.f32 s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) (neg.f32 s) s) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 #s(literal -1 binary32) s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) x)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (neg.f32 (/.f32 (neg.f32 x) s))) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (/.f32 x s) s) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(approx (+ (* -1/6 (/ x s)) 1/2) #s(literal 1/2 binary32)) (/.f32 x s)) s (*.f32 s #s(literal -1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (neg.f32 s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (/.f32 x s) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| ✓ | 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) s) (*.f32 s s)) x #s(literal 2 binary32)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) (*.f32 (/.f32 (neg.f32 x) s) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (neg.f32 s) #s(literal -1 binary32) (*.f32 (*.f32 (neg.f32 s) (/.f32 x s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 s #s(literal -1 binary32) (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) #s(literal -1 binary32) s)) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 s #s(literal -1 binary32) (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 s) (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal 1 binary32) s (*.f32 (*.f32 s #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s))))) (+.f32 #s(literal 0 binary32) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) s (*.f32 (*.f32 x #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 x #s(literal -1/2 binary32) s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (+.f32 #s(literal 0 binary32) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (*.f32 (neg.f32 s) (neg.f32 s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (+.f32 #s(literal 0 binary32) (neg.f32 s)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) s) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1 binary32) (neg.f32 s) (*.f32 #s(literal -1/2 binary32) x)))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (*.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (fma.f32 #s(literal -1/2 binary32) x s)) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) | |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 23.9% | #s(approx (pow (sqrt (+ (exp (/ (neg x) s)) 1)) -2) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))) | |
| 33.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s x)) s) (*.f32 (neg.f32 s) (/.f32 s x))) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/2 binary32))) | |
| 32.0% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (/.f32 (neg.f32 x) s))) (neg.f32 s)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) | |
| ✓ | 29.7% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) | |
| 27.3% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) | |
| 25.6% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) | |
| 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) | |
| 24.6% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) | |
| 26.3% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) | |
| ✓ | 7.4% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
| ✓ | 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 4 385 to 1 966 computations (55.2% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (fma.f32 #s(literal -1/2 binary32) x s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 s)) #s(literal 1 binary32))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (/.f32 (neg.f32 x) s))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (+.f32 #s(literal 0 binary32) (*.f32 s s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (*.f32 (neg.f32 s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (*.f32 (neg.f32 x) #s(literal 1 binary32)))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal -1 binary32))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) s) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (+.f32 #s(literal 0 binary32) (neg.f32 s)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 x #s(literal -1/2 binary32) s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s)))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 x (/.f32 #s(literal 1 binary32) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) x) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 s x)) s) (*.f32 (neg.f32 s) (/.f32 s x))) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1 binary32) (neg.f32 s) (*.f32 #s(literal -1/2 binary32) x)))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
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(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))) |
#s(approx (pow (sqrt (+ (exp (/ (neg x) s)) 1)) -2) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)) s)) s))) |
(pow.f32 (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -2 binary32)) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) #s(literal -2 binary32))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal -2 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))))) (-.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) #s(literal -1 binary32))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
7 calls:
| 84.0ms | (neg.f32 x) |
| 61.0ms | x |
| 48.0ms | (/.f32 (neg.f32 x) s) |
| 43.0ms | s |
| 39.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | s |
| 99.9% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.9% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 99.9% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 99.9% | 1 | (/.f32 (neg.f32 x) s) |
| 99.9% | 1 | (neg.f32 x) |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (fma.f32 #s(literal -1/2 binary32) x s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 s)) #s(literal 1 binary32))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (/.f32 (neg.f32 x) s))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (+.f32 #s(literal 0 binary32) (*.f32 s s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (*.f32 (neg.f32 s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (*.f32 (neg.f32 x) #s(literal 1 binary32)))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal -1 binary32))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) s) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (+.f32 #s(literal 0 binary32) (neg.f32 s)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 x #s(literal -1/2 binary32) s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))))) |
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(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 x s) (/.f32 (/.f32 x s) s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal -1/6 binary32)) (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (/.f32 x s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (neg.f32 x) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (neg.f32 s)) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 x (/.f32 s x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1/6 binary32)) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) (/.f32 (neg.f32 s) x)) (/.f32 #s(literal -1 binary32) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (/.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) s) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32)))) |
7 calls:
| 72.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 57.0ms | x |
| 50.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 39.0ms | (neg.f32 x) |
| 39.0ms | (/.f32 (neg.f32 x) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 2 | x |
| 55.5% | 2 | s |
| 87.0% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 87.0% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 87.0% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 87.0% | 2 | (/.f32 (neg.f32 x) s) |
| 82.5% | 2 | (neg.f32 x) |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (fma.f32 #s(literal -1/2 binary32) x s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 s)) #s(literal 1 binary32))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (/.f32 (neg.f32 x) s))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (+.f32 #s(literal 0 binary32) (*.f32 s s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (*.f32 (neg.f32 s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (*.f32 (neg.f32 x) #s(literal 1 binary32)))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal -1 binary32))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) s) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (neg.f32 (*.f32 (+.f32 #s(literal 0 binary32) (neg.f32 s)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 x #s(literal -1/2 binary32) s))) (neg.f32 (*.f32 (*.f32 s #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) s) x #s(literal 1 binary32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))) |
4 calls:
| 20.0ms | (/.f32 (neg.f32 x) s) |
| 17.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 16.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 16.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 3 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 89.4% | 3 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 89.4% | 3 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 89.4% | 3 | (/.f32 (neg.f32 x) s) |
Compiled 25 to 24 computations (4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (neg.f32 (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (neg.f32 s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) (neg.f32 s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal -1 binary32) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (neg s) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s))) s) (fma.f32 #s(literal -1/2 binary32) x s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (*.f32 x #s(literal 1 binary32))) (neg.f32 s)) #s(literal 1 binary32))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) s) (*.f32 (neg.f32 s) (neg.f32 x))) (*.f32 (neg.f32 s) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (neg.f32 #s(approx (+ (* 1 s) (* (* s -1) (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)))) (fma.f32 #s(literal -1/2 binary32) x s))) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (+ (* (* (+ (* -1/6 (/ x s)) 1/2) (/ x s)) s) (* s -1)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 s) (/.f32 (neg.f32 x) s))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) |
6 calls:
| 20.0ms | (neg.f32 x) |
| 19.0ms | x |
| 18.0ms | (/.f32 (neg.f32 x) s) |
| 14.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 14.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 2 | (neg.f32 x) |
| 66.5% | 2 | x |
| 71.2% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 71.2% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 71.2% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 71.2% | 2 | (/.f32 (neg.f32 x) s) |
Compiled 28 to 29 computations (-3.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
4 calls:
| 12.0ms | (/.f32 (neg.f32 x) s) |
| 8.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 8.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 7.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.2% | 2 | (/.f32 (neg.f32 x) s) |
| 71.2% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 71.2% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 71.2% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
Compiled 25 to 24 computations (4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
7 calls:
| 28.0ms | (neg.f32 x) |
| 9.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 8.0ms | s |
| 8.0ms | x |
| 7.0ms | (/.f32 (neg.f32 x) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.7% | 1 | s |
| 43.8% | 2 | (neg.f32 x) |
| 43.8% | 2 | x |
| 45.0% | 2 | (/.f32 (neg.f32 x) s) |
| 45.0% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 45.0% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 45.0% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
4 calls:
| 11.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 7.0ms | (/.f32 (neg.f32 x) s) |
| 6.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 6.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.8% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 43.8% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 43.8% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 43.8% | 2 | (/.f32 (neg.f32 x) s) |
Compiled 25 to 24 computations (4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 x) #s(literal -1 binary32))) (neg.f32 s)) #s(literal 1/2 binary32))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) |
6 calls:
| 10.0ms | (/.f32 (neg.f32 x) s) |
| 9.0ms | (neg.f32 x) |
| 7.0ms | x |
| 5.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 5.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.1% | 2 | x |
| 43.1% | 2 | (neg.f32 x) |
| 43.6% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 43.6% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 43.6% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 43.6% | 2 | (/.f32 (neg.f32 x) s) |
Compiled 28 to 29 computations (-3.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
4 calls:
| 8.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 6.0ms | (/.f32 (neg.f32 x) s) |
| 5.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 5.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.6% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 43.6% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 43.6% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 43.6% | 2 | (/.f32 (neg.f32 x) s) |
Compiled 25 to 24 computations (4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (neg.f32 x) (/.f32 #s(literal 1 binary32) (neg.f32 s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 x #s(literal 1 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (+ (* (/ (/ x s) s) (+ (* -1/6 (/ x s)) 1/2)) (/ -1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
4 calls:
| 11.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 6.0ms | (/.f32 (neg.f32 x) s) |
| 5.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 5.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.6% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 43.6% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 43.6% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 43.6% | 2 | (/.f32 (neg.f32 x) s) |
Compiled 25 to 24 computations (4% saved)
Total -8.4b remaining (-39.3%)
Threshold costs -8.4b (-39.3%)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (neg.f32 (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 x (/.f32 #s(literal 1 binary32) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 #s(literal 1 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x #s(literal 1 binary32)) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 x (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1/2 binary32))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
7 calls:
| 5.0ms | s |
| 5.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 4.0ms | (neg.f32 x) |
| 4.0ms | x |
| 4.0ms | (/.f32 (neg.f32 x) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.2% | 1 | s |
| 33.2% | 1 | x |
| 33.2% | 1 | (neg.f32 x) |
| 33.2% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 33.2% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 33.2% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 33.2% | 1 | (/.f32 (neg.f32 x) s) |
Compiled 29 to 31 computations (-6.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.093946695327759 | -0.3401219844818115 |
Compiled 12 to 13 computations (-8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.05297147110104561 | 33.696380615234375 |
| 0.0ms | -3.093946695327759 | -0.3401219844818115 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5842201709747314 | 0.9566423296928406 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5842201709747314 | 0.9566423296928406 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.093946695327759 | -0.3401219844818115 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.093946695327759 | -0.3401219844818115 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.093946695327759 | -0.3401219844818115 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.093946695327759 | -0.3401219844818115 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.093946695327759 | -0.3401219844818115 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 417 |
| 1 | 145 | 417 |
| 2 | 209 | 417 |
| 3 | 283 | 417 |
| 4 | 402 | 417 |
| 5 | 639 | 417 |
| 6 | 1595 | 417 |
| 7 | 3255 | 417 |
| 8 | 4963 | 417 |
| 9 | 7187 | 417 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/134217728 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x) s) #s(literal 2 binary32))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (pow (pow (+ (exp (/ (neg x) s)) 1) -1/2) -2) (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) x)) x) s))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/134217728 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s)))))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32))) (if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 13421773/134217728 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ x s) (+ (* (/ 1/2 s) x) -1)) 1) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) x) (*.f32 s s)))) #s(literal 1 binary32))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) #s(approx (/ x s) (/.f32 x s)) #s(literal 1 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (/.f32 (-.f32 s x) s)) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s)))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 253 |
| 0 | 65 | 233 |
| 1 | 275 | 229 |
| 2 | 2145 | 229 |
| 0 | 8833 | 226 |
| 0 | 63 | 434 |
| 0 | 100 | 411 |
| 1 | 378 | 395 |
| 2 | 2561 | 395 |
| 0 | 8943 | 391 |
| 0 | 385 | 5280 |
| 1 | 1132 | 4959 |
| 2 | 3739 | 4792 |
| 0 | 8241 | 4499 |
| 0 | 416 | 5886 |
| 1 | 1194 | 5351 |
| 2 | 3793 | 5130 |
| 0 | 8694 | 4871 |
| 0 | 525 | 5320 |
| 1 | 1537 | 4857 |
| 2 | 4714 | 4711 |
| 0 | 8248 | 4513 |
| 0 | 140 | 857 |
| 1 | 378 | 768 |
| 2 | 1160 | 742 |
| 3 | 3935 | 722 |
| 0 | 8270 | 682 |
| 0 | 46 | 338 |
| 0 | 83 | 323 |
| 1 | 342 | 311 |
| 2 | 2840 | 296 |
| 0 | 8356 | 296 |
| 0 | 8 | 27 |
| 0 | 13 | 27 |
| 1 | 48 | 27 |
| 2 | 255 | 27 |
| 3 | 2107 | 27 |
| 0 | 8538 | 26 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 613 to 334 computations (45.5% saved)
Compiled 564 to 166 computations (70.6% saved)
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