
Time bar (total: 9.2s)
| 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)
| 670.0ms | 8 256× | 0 | valid |
ival-div: 121.0ms (24.7% of total)const: 119.0ms (24.3% of total)ival-exp: 79.0ms (16.1% of total)ival-<=: 51.0ms (10.4% of total)ival-add: 48.0ms (9.8% of total)ival-neg: 45.0ms (9.2% of total)ival-and: 12.0ms (2.5% of total)exact: 11.0ms (2.2% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 1 | (-0.6888353824615479 0.0034340994898229837) | 1 | (-1.2027816613844518e-34 2.9029329479207494e-36) | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 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 | 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 | 1 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 1 | 254 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 33.0ms | 512× | 0 | valid |
Compiled 103 to 36 computations (65% saved)
ival-div: 7.0ms (33.8% of total)ival-exp: 5.0ms (24.2% of total)ival-add: 4.0ms (19.3% of total)ival-neg: 3.0ms (14.5% 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 | 271 | 41 |
| 4 | 554 | 41 |
| 5 | 721 | 41 |
| 6 | 793 | 41 |
| 7 | 842 | 41 |
| 8 | 901 | 41 |
| 9 | 903 | 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 |
|---|---|---|
| ▶ | 99.7% | (/.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 | 0.015625 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) | |
| accuracy | 0.03159165172363414 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| accuracy | 0.05859375 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 16.0ms | 256× | 0 | valid |
Compiled 62 to 18 computations (71% saved)
ival-div: 4.0ms (45% of total)ival-exp: 2.0ms (22.5% of total)ival-add: 1.0ms (11.2% of total)ival-neg: 1.0ms (11.2% 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 | 1150 | 742 |
| 3 | 3902 | 722 |
| 0 | 8435 | 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 | 2101 | 27 |
| 0 | 8465 | 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)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 801 | 17 | 818 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 801 | 18 | 819 |
| Status | Accuracy | Program |
|---|---|---|
| 99.1% | (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)) | |
| 45.8% | (/.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))))) | |
| ▶ | 48.3% | (/.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)))) |
| 65.0% | (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))) (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (*.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))))) | |
| ▶ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
| ▶ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) | |
| 37.2% | (/.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))))) | |
| ▶ | 37.2% | (/.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))))) |
| 44.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) | |
| 37.2% | (/.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)))) | |
| 37.2% | (/.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)))) | |
| 44.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| 48.2% | (*.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))) | |
| 45.8% | (*.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)))) | |
| 65.0% | (*.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)))) | |
| ▶ | 37.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 591 to 410 computations (30.6% 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 | (exp.f32 (/.f32 x s)) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) | |
| cost-diff | 288 | (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) | |
| 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 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | (E.f32) | |
| cost-diff | 0 | (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 250 |
| 0 | 62 | 231 |
| 1 | 107 | 231 |
| 2 | 199 | 231 |
| 3 | 370 | 231 |
| 4 | 938 | 231 |
| 5 | 3236 | 231 |
| 0 | 8170 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) |
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) |
(E.f32) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#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)) (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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(exp.f32 (/.f32 x s)) |
(/.f32 x s) |
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 #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) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) |
(+.f32 (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) |
(E.f32) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#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)) (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) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(/.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) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp.f32 (/.f32 x s)) |
(/.f32 x s) |
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 #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 #s(literal -2 binary32) (/.f32 x s)))) |
#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 #s(literal -2 binary32) (/.f32 x s)) |
(/.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 #s(literal -2 binary32) (/.f32 x s))) (-.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 (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 | 0.05688375946961356 | (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) | |
| accuracy | 0.0625 | (*.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 | 1.4851898702982087 | (/.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 | 5.937804644262534 | (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) | |
| accuracy | 0.015625 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) | |
| accuracy | 0.029628759768442016 | (exp.f32 (/.f32 x s)) | |
| accuracy | 0.03515625 | (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) | |
| accuracy | 0.05859375 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) | |
| accuracy | 0.05859375 | (/.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 | 12.597179269931232 | #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 | 19.034321088846227 | (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) | |
| accuracy | 20.945913490276567 | (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) | |
| accuracy | 11.087291735239312 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) | |
| accuracy | 0.015625 | (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) | |
| accuracy | 0.04267504884221008 | (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) | |
| accuracy | 0.05859375 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) | |
| accuracy | 9.020515089344793 | (E.f32) |
| 49.0ms | 179× | 0 | valid |
| 25.0ms | 77× | 0 | exit |
Compiled 443 to 65 computations (85.3% saved)
ival-div: 15.0ms (25.9% of total)ival-mult: 11.0ms (19% of total)ival-pow: 9.0ms (15.5% of total)ival-exp: 7.0ms (12.1% of total)ival-add: 7.0ms (12.1% of total)ival-e: 3.0ms (5.2% of total)ival-expm1: 2.0ms (3.4% of total)ival-neg: 2.0ms (3.4% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ()) |
#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ()) |
#s(alt (E.f32) (patch (E.f32) #<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)) (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 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (patch (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ()) |
#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x 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 (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 (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 (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (* x (log (E))) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (* x (log (E))) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (* x (log (E))) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ (* x (log (E))) s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) (patch (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ (* x (log (E))) s))) (taylor 0 s) (#s(alt (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) (patch (pow.f32 (E.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)))) #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)) (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>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#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 (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#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 (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#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 (+ 1 (exp (* -1 (/ x s)))) (taylor 0 s) (#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 (exp (* -1 (/ x s))) (taylor 0 s) (#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 (exp (* -1 (/ x s))) (taylor 0 s) (#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 (exp (* -1 (/ x s))) (taylor 0 s) (#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 (exp (* -1 (/ x s))) (taylor 0 s) (#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>) () ())) ()) |
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#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) #<representation binary32>) () ())) ()) |
#s(alt (exp (/ x s)) (taylor -inf x) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (/ x s)) (taylor -inf x) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ()) |
#s(alt (exp (/ x s)) (taylor -inf x) (#s(alt (exp.f32 (/.f32 x s)) (patch (exp.f32 (/.f32 x s)) #<representation binary32>) () ())) ()) |
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#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#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 (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#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 (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) (taylor -inf x) (#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 (* (+ 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))) (taylor -inf x) (#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 (* -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 (* -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>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 28.0ms | s | @ | inf | ((/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (pow (E) (/ (neg x) s)) (E) (/ 1 (+ 1 (exp (/ (neg 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 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x 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) (+ (* (/ 1/2 s) x) -1) (exp (* (/ x s) -2))) |
| 6.0ms | x | @ | 0 | ((/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (pow (E) (/ (neg x) s)) (E) (/ 1 (+ 1 (exp (/ (neg 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 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x 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) (+ (* (/ 1/2 s) x) -1) (exp (* (/ x s) -2))) |
| 5.0ms | s | @ | -inf | ((/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (pow (E) (/ (neg x) s)) (E) (/ 1 (+ 1 (exp (/ (neg 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 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x 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) (+ (* (/ 1/2 s) x) -1) (exp (* (/ x s) -2))) |
| 4.0ms | s | @ | 0 | ((/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (pow (E) (/ (neg x) s)) (E) (/ 1 (+ 1 (exp (/ (neg 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 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x 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) (+ (* (/ 1/2 s) x) -1) (exp (* (/ x s) -2))) |
| 3.0ms | x | @ | inf | ((/ 1 (+ 1 (pow (E) (/ (neg x) s)))) (+ 1 (pow (E) (/ (neg x) s))) (pow (E) (/ (neg x) s)) (E) (/ 1 (+ 1 (exp (/ (neg 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 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x 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) (+ (* (/ 1/2 s) x) -1) (exp (* (/ x s) -2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 617 | 5183 |
| 1 | 1970 | 4123 |
| 2 | 6092 | 3979 |
| 0 | 8456 | 3790 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp (* -1 (/ (* x (log (E))) 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))) |
(* 1/2 (/ (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 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(exp (/ x s)) |
(exp (/ x s)) |
(exp (/ x s)) |
(exp (/ 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 (* -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)) |
(* 1/2 (/ x s)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
1/2 |
(+ 1/2 (* 1/4 (/ (* x (log (E))) s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ (* x (log (E))) s))) |
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ (* x (log (E))) s))) |
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 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 |
(+ 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 |
(+ 1 (* -1 (/ x s))) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)) |
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
1 |
(+ 1 (/ x s)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))) |
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 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 (/ 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 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
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 (log (E))) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) s))) (* 1/4 (* x (log (E))))) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))))) s)) (+ (* -1/16 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/24 (/ (* (pow x 3) (pow (log (E)) 3)) s)))) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))) s)) (* 1/4 (* x (log (E))))) s))) |
2 |
(+ 2 (* -1 (/ (* x (log (E))) s))) |
(+ 2 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s))) |
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) s))) |
1 |
(+ 1 (* -1 (/ (* x (log (E))) s))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (* (pow x 2) (pow (log (E)) 2)) s)) (* x (log (E)))) s))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) s)) (* 1/2 (* (pow x 2) (pow (log (E)) 2)))) s)) (* x (log (E)))) 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 (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))) |
(+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))) |
1 |
(+ 1 (/ x s)) |
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ (* -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 (/ 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 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
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 (log (E))) s))) |
(+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s))))) |
(+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/24 (/ (pow (log (E)) 3) (pow s 3))) (+ (* 1/16 (/ (pow (log (E)) 3) (pow s 3))) (* 1/2 (/ (* (log (E)) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2))))) s)))))) (+ (* -1/8 (/ (pow (log (E)) 2) (pow s 2))) (* 1/8 (/ (pow (log (E)) 2) (pow s 2)))))) (* -1/4 (/ (log (E)) s))))) |
2 |
(+ 2 (* -1 (/ (* x (log (E))) s))) |
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2)))))) |
(+ 2 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 2)))))))) |
1 |
(+ 1 (* -1 (/ (* x (log (E))) s))) |
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* 1/2 (/ (* x (pow (log (E)) 2)) (pow s 2)))))) |
(+ 1 (* x (+ (* -1 (/ (log (E)) s)) (* x (+ (* -1/6 (/ (* x (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (pow (log (E)) 2) (pow s 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 (* 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 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* 1/2 (/ x (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)))) |
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 (/ 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 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
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 (log (E))) s))))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp (* -1 (/ (* x (log (E))) 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))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(exp (/ x s)) |
(exp (/ x s)) |
(exp (/ x s)) |
(exp (/ 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 (* -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)) |
(* 1/2 (/ x s)) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp (* -1 (/ (* x (log (E))) 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))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(exp (/ x s)) |
(exp (/ x s)) |
(exp (/ x s)) |
(exp (/ 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 (* -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)) |
(* 1/2 (/ x s)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
(exp (* -2 (/ x s))) |
| Outputs |
|---|
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
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(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ (* x (log (E))) 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 (+ 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))) |
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(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
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(+.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 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.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 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
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(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
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(exp.f32 (/.f32 (neg.f32 x) s)) |
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(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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))) |
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(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.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))) |
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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 (* -2 (/ x s)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
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(-.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)) |
(* 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) |
(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 (log (E))) s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2)))) (pow s 2)))) (* -1/4 (/ (* x (log (E))) s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/24 (* (pow x 3) (pow (log (E)) 3))) (+ (* 1/16 (* (pow x 3) (pow (log (E)) 3))) (* 1/2 (* x (* (log (E)) (+ (* -1/8 (* (pow x 2) (pow (log (E)) 2))) (* 1/8 (* (pow x 2) (pow (log (E)) 2))))))))) (pow s 3)))) (+ (* -1/4 (/ (* x (log (E))) s)) (+ (* -1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))) (* 1/8 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ (* x (log (E))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))) |
(+.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) 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 (log (E))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (+ (* -1 (/ (* x (log (E))) s)) (+ (* -1/6 (/ (* (pow x 3) (pow (log (E)) 3)) (pow s 3))) (* 1/2 (/ (* (pow x 2) (pow (log (E)) 2)) (pow s 2)))))) |
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) 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 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #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 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32) #s(literal 0 binary32)) (pow.f32 s #s(literal 3 binary32))))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #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 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32) #s(literal 0 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 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) 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 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) 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 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 s #s(literal 3 binary32)))) (/.f32 (fma.f32 (*.f32 x (/.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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (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 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/8 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -1/8 binary32) #s(literal 0 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 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
(-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 s #s(literal 3 binary32)))) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (/ x s)) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)) |
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x (fma.f32 #s(literal 1/6 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 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #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 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32) #s(literal 0 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))) |
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(* 4 (/ x s)) |
(*.f32 (/.f32 #s(literal 4 binary32) s) x) |
(/ (+ (* -4 (/ (pow x 2) s)) (+ (* -2 (/ (pow x 2) s)) (* 4 x))) s) |
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(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
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#s(literal -1 binary32) |
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(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
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#s(literal 2 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1/2 binary32) |
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(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
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#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
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(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
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#s(literal 2 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#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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#s(literal 1/2 binary32) |
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#s(literal -1 binary32) |
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(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
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#s(literal 1 binary32) |
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#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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#s(literal 2 binary32) |
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(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(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 (log (E))) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (exp (* -1 (/ (* x (log (E))) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (exp (* -1 (/ (* x (log (E))) s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ (* x (log (E))) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ (* x (log (E))) 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 (+ 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 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.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 (* -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)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 198 |
| 0 | 62 | 183 |
| 1 | 269 | 176 |
| 2 | 1988 | 176 |
| 0 | 8215 | 176 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
(+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s))) |
(pow.f32 (E.f32) (/.f32 (neg.f32 x) s)) |
(E.f32) |
#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)) (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)) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(exp.f32 (/.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 #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)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32))) |
| Outputs |
|---|
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Compiled 59 417 to 3 899 computations (93.4% saved)
53 alts after pruning (47 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 935 | 40 | 1 975 |
| Fresh | 5 | 7 | 12 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 940 | 53 | 1 993 |
| Status | Accuracy | Program |
|---|---|---|
| 99.1% | (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)) | |
| 45.8% | (/.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))))) | |
| 47.0% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) | |
| ✓ | 48.3% | (/.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)))) |
| 44.4% | (/.f32 #s(literal 1 binary32) (fma.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))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)))))) | |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| 62.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) | |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| ▶ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) |
| 44.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) | |
| ▶ | 37.2% | (/.f32 #s(literal 1 binary32) (+.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 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
| ▶ | 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.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 binary32) s) (/.f32 x #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| ✓ | 37.2% | (/.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))))) |
| 37.2% | (/.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))))) | |
| 37.2% | (/.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 binary32) s) (/.f32 (neg.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.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) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| ▶ | 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (/.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))))) | |
| 36.6% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.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))))) | |
| 37.2% | (/.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))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.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))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.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 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x) (/.f32 #s(literal 1 binary32) s) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) #s(literal 1 binary32))))) | |
| 37.2% | (/.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) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) | |
| 55.9% | (/.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))))) | |
| 44.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) | |
| 36.6% | (/.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 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))) | |
| 34.3% | (/.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) s) x)) (*.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 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))) | |
| 39.3% | (/.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 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x))))) | |
| 44.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) | |
| 44.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| 37.2% | (/.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)))) | |
| 48.2% | (*.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))) | |
| 45.8% | (*.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)))) | |
| 65.0% | (*.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)))) | |
| ▶ | 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
| 28.8% | #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal -1/4 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32))) s) #s(literal 1/8 binary32))) s)) s))) | |
| ✓ | 37.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 1 780 to 1 269 computations (28.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) | |
| cost-diff | 704 | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) | |
| cost-diff | 0 | #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (+.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 (/.f32 x s) #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| cost-diff | 160 | (*.f32 (/.f32 x s) #s(literal 1 binary32)) | |
| cost-diff | 0 | (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)) | |
| cost-diff | 0 | #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| cost-diff | 0 | (/.f32 #s(literal 1/4 binary32) s) | |
| cost-diff | 0 | (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) | |
| cost-diff | 0 | (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) | |
| cost-diff | 288 | (/.f32 #s(literal -1 binary32) (/.f32 s x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 375 |
| 0 | 75 | 345 |
| 1 | 146 | 325 |
| 2 | 316 | 325 |
| 3 | 660 | 325 |
| 4 | 1593 | 325 |
| 5 | 4222 | 325 |
| 0 | 8208 | 325 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) |
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) |
(/.f32 #s(literal -1 binary32) (/.f32 s x)) |
#s(literal -1 binary32) |
(/.f32 s x) |
s |
x |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
s |
x |
#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 #s(literal 1/2 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 #s(literal 1/2 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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)) |
(/.f32 x s) |
x |
s |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
#s(literal 1/2 binary32) |
#s(literal -1 binary32) |
(/.f32 #s(literal 1 binary32) (+.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 (/.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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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 (/.f32 x s) #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 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(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 |
x |
#s(literal -1 binary32) |
(*.f32 (/.f32 x s) #s(literal 1 binary32)) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) 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 |
x |
#s(literal -1 binary32) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) x) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) |
(/.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 #s(literal -1 binary32) (/.f32 s x)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 #s(literal -1 binary32) (/.f32 s x)) |
(/.f32 (neg.f32 x) s) |
#s(literal -1 binary32) |
(/.f32 s x) |
s |
x |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
s |
x |
#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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))) |
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32)) |
(/.f32 x s) |
x |
s |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
#s(literal 1/2 binary32) |
#s(literal -1 binary32) |
(/.f32 #s(literal 1 binary32) (+.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 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 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 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32)) |
(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 |
x |
#s(literal -1 binary32) |
(*.f32 (/.f32 x s) #s(literal 1 binary32)) |
(/.f32 x s) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) |
(+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32)) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) 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 |
x |
#s(literal -1 binary32) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) |
x |
(/.f32 #s(literal 1 binary32) x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1733806953171405 | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) | |
| accuracy | 12.597179269931232 | #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) | |
| accuracy | 17.265403206644162 | (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) | |
| accuracy | 20.130693520445266 | (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) | |
| accuracy | 0.05859375 | (/.f32 #s(literal 1 binary32) (+.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 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| accuracy | 12.597179269931232 | #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| accuracy | 17.286298152819587 | (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) | |
| accuracy | 20.633485153174615 | (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) | |
| accuracy | 0.05859375 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| accuracy | 12.597179269931232 | #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))) | |
| accuracy | 16.268609825732852 | (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)) | |
| accuracy | 20.77770387702096 | (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) | |
| accuracy | 0 | (/.f32 #s(literal 1/4 binary32) s) | |
| accuracy | 12.01161343253009 | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) | |
| accuracy | 19.861008011930185 | (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) | |
| accuracy | 0.015625 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) | |
| accuracy | 0.03159165172363414 | (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) | |
| accuracy | 0.05859375 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) | |
| accuracy | 0.17578125 | (/.f32 #s(literal -1 binary32) (/.f32 s x)) |
| 59.0ms | 179× | 0 | valid |
| 25.0ms | 77× | 0 | exit |
Compiled 560 to 78 computations (86.1% saved)
ival-div: 24.0ms (38% of total)ival-mult: 16.0ms (25.3% of total)ival-add: 12.0ms (19% of total)ival-exp: 6.0ms (9.5% of total)ival-expm1: 3.0ms (4.7% of total)ival-neg: 2.0ms (3.2% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 #s(literal -1 binary32) (/.f32 s x)) (patch (/.f32 #s(literal -1 binary32) (/.f32 s x)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) (patch (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) #<representation binary32>) () ()) |
#s(alt (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) (patch (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) (patch #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1/4 binary32) s) (patch (/.f32 #s(literal 1/4 binary32) 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 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 x s) #s(literal 1 binary32)) (patch (*.f32 (/.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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (+.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 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (patch (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (patch (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #<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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 #s(literal -1 binary32) (/.f32 s x)) (patch (/.f32 #s(literal -1 binary32) (/.f32 s x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (/ x s)) (taylor 0 s) (#s(alt (/.f32 #s(literal -1 binary32) (/.f32 s x)) (patch (/.f32 #s(literal -1 binary32) (/.f32 s x)) #<representation binary32>) () ())) ()) |
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#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (exp (* -1 (/ x s)))) (taylor -inf x) (#s(alt (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (* -1 (/ x s))) (taylor -inf x) (#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (/ x s)) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (patch (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (patch (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (patch (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) (taylor -inf x) (#s(alt (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (patch (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (/ x s)) (taylor -inf x) (#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 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) (taylor -inf x) (#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 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) (taylor -inf x) (#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 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) (taylor -inf x) (#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 (* 1/2 (/ (pow x 2) (pow s 2))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) (taylor -inf x) (#s(alt (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (/ (pow x 2) (pow s 2))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) (taylor -inf x) (#s(alt (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (patch (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | s | @ | 0 | ((/ -1 (/ s x)) (/ 1 (+ 1 (exp (/ -1 (/ s x))))) (+ 1 (exp (/ -1 (/ s x)))) (exp (/ -1 (/ s x))) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 1) (* (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ 1 (/ 1 x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* 1/2 (/ x s)) -1) (+ (* (/ 1/2 s) x) -1) (+ (* (+ (* (/ 1/2 s) x) -1) (* (/ x s) 1)) 1) (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) (/ 1 (/ 1 x))) 1)) |
| 2.0ms | x | @ | inf | ((/ -1 (/ s x)) (/ 1 (+ 1 (exp (/ -1 (/ s x))))) (+ 1 (exp (/ -1 (/ s x)))) (exp (/ -1 (/ s x))) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 1) (* (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ 1 (/ 1 x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* 1/2 (/ x s)) -1) (+ (* (/ 1/2 s) x) -1) (+ (* (+ (* (/ 1/2 s) x) -1) (* (/ x s) 1)) 1) (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) (/ 1 (/ 1 x))) 1)) |
| 2.0ms | x | @ | -inf | ((/ -1 (/ s x)) (/ 1 (+ 1 (exp (/ -1 (/ s x))))) (+ 1 (exp (/ -1 (/ s x)))) (exp (/ -1 (/ s x))) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 1) (* (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ 1 (/ 1 x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* 1/2 (/ x s)) -1) (+ (* (/ 1/2 s) x) -1) (+ (* (+ (* (/ 1/2 s) x) -1) (* (/ x s) 1)) 1) (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) (/ 1 (/ 1 x))) 1)) |
| 1.0ms | s | @ | -inf | ((/ -1 (/ s x)) (/ 1 (+ 1 (exp (/ -1 (/ s x))))) (+ 1 (exp (/ -1 (/ s x)))) (exp (/ -1 (/ s x))) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 1) (* (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ 1 (/ 1 x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* 1/2 (/ x s)) -1) (+ (* (/ 1/2 s) x) -1) (+ (* (+ (* (/ 1/2 s) x) -1) (* (/ x s) 1)) 1) (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) (/ 1 (/ 1 x))) 1)) |
| 1.0ms | s | @ | inf | ((/ -1 (/ s x)) (/ 1 (+ 1 (exp (/ -1 (/ s x))))) (+ 1 (exp (/ -1 (/ s x)))) (exp (/ -1 (/ s x))) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ 1/4 s) x) 1/2) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* (/ x s) (+ (* 1/2 (/ x s)) -1)) 1) (* (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ 1 (/ 1 x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* 1/2 (/ x s)) -1) (+ (* (/ 1/2 s) x) -1) (+ (* (+ (* (/ 1/2 s) x) -1) (* (/ x s) 1)) 1) (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) (/ 1 (/ 1 x))) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 4789 |
| 1 | 485 | 4274 |
| 2 | 1405 | 4134 |
| 3 | 4633 | 3994 |
| 0 | 8366 | 3691 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x 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))) |
(/ 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 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 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)) |
(/ 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 (+ 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 (/ x s)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(* 1/2 (/ x s)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 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)) |
(* 1/2 (/ (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 (/ 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)))))) |
1/2 |
(+ 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 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 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))))) |
(/ 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)))))) |
1/2 |
(+ 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 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
-1 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
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 |
(+ 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 (/ 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))) |
1/2 |
(+ 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 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 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 (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) 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) 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))) |
1/2 |
(+ 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 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
-1 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -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 (* -1/2 (/ (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)))) |
1/2 |
(+ 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))) |
1/2 |
(+ 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 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(/ x s) |
(/ x s) |
(/ x s) |
(/ 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)))) |
x |
x |
x |
x |
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 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
-1 |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
(- (* 1/2 (/ x s)) 1) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x 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))) |
(/ 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 (+ 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))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(/ 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))) |
x |
x |
x |
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))) |
(* 1/2 (/ x s)) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(* 1/2 (/ x s)) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(* -1 (/ x s)) |
(* -1 (/ x s)) |
(* -1 (/ x 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))) |
(/ 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 (+ 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))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(/ 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))) |
x |
x |
x |
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))) |
(* 1/2 (/ x s)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* 1/2 (/ x s)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
| Outputs |
|---|
(* -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 (+ 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)))) |
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(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) |
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(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
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(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) |
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(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
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(/ (+ (* 1/2 (pow x 2)) (* s (+ s (* -1 x)))) (pow s 2)) |
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(/.f32 (/.f32 (fma.f32 (-.f32 s x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s) |
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(* -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))) |
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2 |
#s(literal 2 binary32) |
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(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
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1 |
#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
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1/2 |
#s(literal 1/2 binary32) |
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1/2 |
#s(literal 1/2 binary32) |
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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)) |
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2 |
#s(literal 2 binary32) |
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1 |
#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
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(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
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1 |
#s(literal 1 binary32) |
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(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)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
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(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
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(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
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2 |
#s(literal 2 binary32) |
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(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
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(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
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1 |
#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
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(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
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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 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
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2 |
#s(literal 2 binary32) |
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(-.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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 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 (/.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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) |
-1 |
#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 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 (+ (* -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)) (* 1/2 (/ (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 |
#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)) (* 1/2 (/ (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 (/ 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)) |
1/2 |
#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))) |
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 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 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) 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 |
#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 (* -1/2 (/ (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)) |
(/ 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))) |
(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)) |
1/2 |
#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 |
#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 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 (* -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 (* -1/2 (/ (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 |
#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 (* -1/2 (/ (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 (/ 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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 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 (* 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))) |
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)) |
1/2 |
#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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) |
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#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 (- (* 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)) |
(/ 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))))) |
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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))))) |
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#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)))) |
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#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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) |
x |
x |
x |
x |
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))) |
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#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)))) |
(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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 2 binary32))) |
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#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 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32))) |
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#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
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#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
1 |
#s(literal 1 binary32) |
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(-.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 (- (* 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 |
#s(literal 1 binary32) |
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(-.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 (- (* 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 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) |
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(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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))) |
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(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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))) |
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(+ 1 (exp (* -1 (/ x s)))) |
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(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))) |
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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 (+ 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 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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))) |
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(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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))) |
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(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 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 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))))) |
(/.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))) |
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(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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))) |
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(+ 1 (exp (* -1 (/ x s)))) |
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(+ 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)) |
x |
x |
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))) |
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(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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))) |
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(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
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(+ 1 (exp (* -1 (/ x s)))) |
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(+ 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)) |
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(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* x (- (* 1/2 (/ 1 s)) (/ 1 x))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
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(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
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(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
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(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
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(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
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(* 1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
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(*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(fma.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))) (/ 1 (* s x)))) |
(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 s)) |
(/.f32 (neg.f32 x) s) |
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(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ x s)) |
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(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
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(/.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))))) |
(/.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 (+ 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 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (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)) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (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)) |
(/ 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)) |
x |
x |
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 (* -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 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (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)) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (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)) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(*.f32 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (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)) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 320 |
| 0 | 75 | 290 |
| 1 | 364 | 270 |
| 2 | 2603 | 270 |
| 0 | 8493 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal -1 binary32) (/.f32 s x)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x)))) |
(exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 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 (/.f32 x s) (fma.f32 #s(literal 1/2 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 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32)) |
(*.f32 (/.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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(+.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 (/.f32 x s) #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 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) |
| Outputs |
|---|
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Compiled 23 186 to 2 142 computations (90.8% saved)
71 alts after pruning (62 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 140 | 42 | 1 182 |
| Fresh | 22 | 20 | 42 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 164 | 71 | 1 235 |
| Status | Accuracy | Program |
|---|---|---|
| 45.8% | (/.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))))) | |
| 47.0% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) | |
| ✓ | 48.3% | (/.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)))) |
| 44.4% | (/.f32 #s(literal 1 binary32) (fma.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))) | |
| 44.4% | (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| ▶ | 62.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.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 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) (neg.f32 s))) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.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 (neg.f32 x) (neg.f32 s)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.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 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.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 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.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 #s(literal -1 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) | |
| ▶ | 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
| ✓ | 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (*.f32 #s(literal -1 binary32) (neg.f32 x)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| ✓ | 37.2% | (/.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))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) x #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.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) x) (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (/.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))))) | |
| 37.2% | (/.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))))) | |
| 37.2% | (/.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))))) | |
| 37.2% | (/.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 (/ x s)) -1) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) #s(literal 1 binary32))))) | |
| 37.2% | (/.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 (/ x s)) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 1 binary32)))))) | |
| 37.2% | (/.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 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.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) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32))) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) | |
| 55.9% | (/.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))))) | |
| ▶ | 44.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) |
| 37.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) (/ 1 (/ 1 x))) 1) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))) | |
| 44.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| 37.2% | (/.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)))) | |
| 37.2% | (/.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)))) | |
| 45.8% | (*.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)))) | |
| 7.7% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) | |
| ✓ | 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) | |
| ▶ | 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) | |
| 37.2% | #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))) | |
| 33.5% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) | |
| ▶ | 7.3% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
| ✓ | 37.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 1 987 to 1 527 computations (23.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| cost-diff | 160 | (*.f32 (/.f32 x s) #s(literal 1 binary32)) | |
| cost-diff | 160 | (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) | |
| cost-diff | 0 | #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) | |
| cost-diff | 64 | (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32)) | |
| cost-diff | 0 | (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)) | |
| cost-diff | 0 | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) | |
| cost-diff | 64 | (neg.f32 (*.f32 s #s(literal 4 binary32))) | |
| cost-diff | 160 | (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 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 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) | |
| cost-diff | 0 | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) | |
| cost-diff | 0 | #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 400 |
| 0 | 76 | 372 |
| 1 | 145 | 337 |
| 2 | 291 | 332 |
| 3 | 660 | 332 |
| 4 | 1906 | 332 |
| 5 | 5436 | 332 |
| 0 | 8192 | 332 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) |
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(/.f32 x s) |
x |
s |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (+ (* (/ 1/4 s) x) 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 |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) |
#s(literal -1 binary32) |
(neg.f32 (*.f32 s #s(literal 4 binary32))) |
(*.f32 s #s(literal 4 binary32)) |
s |
#s(literal 4 binary32) |
x |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.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 (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32)))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))) |
(+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32)) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 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 |
x |
#s(literal -1 binary32) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x) |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
s |
x |
#s(literal -1 binary32) |
(*.f32 (/.f32 x s) #s(literal 1 binary32)) |
(/.f32 x s) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) |
(+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) |
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(/.f32 x s) |
x |
s |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (+ (* (/ 1/4 s) x) 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 |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #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))) |
(fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal -1 binary32) |
(neg.f32 (*.f32 s #s(literal 4 binary32))) |
(*.f32 #s(literal -4 binary32) s) |
(*.f32 s #s(literal 4 binary32)) |
(*.f32 #s(literal 4 binary32) s) |
s |
#s(literal 4 binary32) |
x |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #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)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #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)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #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))) |
(+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) |
(*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x) |
(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 |
x |
#s(literal -1 binary32) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x) |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
s |
x |
#s(literal -1 binary32) |
(*.f32 (/.f32 x s) #s(literal 1 binary32)) |
(/.f32 x s) |
(/.f32 x s) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.17578125 | (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) | |
| accuracy | 12.597179269931232 | #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| accuracy | 13.299075155336403 | (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) | |
| accuracy | 13.733208900607634 | (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) | |
| accuracy | 0.05859375 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) | |
| accuracy | 0.14453125 | (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) | |
| accuracy | 12.597179269931232 | #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))) | |
| accuracy | 13.843036899641627 | (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) | |
| accuracy | 0 | (*.f32 s #s(literal 4 binary32)) | |
| accuracy | 0 | (neg.f32 (*.f32 s #s(literal 4 binary32))) | |
| accuracy | 12.01161343253009 | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) | |
| accuracy | 13.348751485820738 | (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)) | |
| accuracy | 0 | (/.f32 x s) | |
| accuracy | 0 | (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) | |
| accuracy | 9.910907005630898 | #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) | |
| accuracy | 12.01161343253009 | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) | |
| accuracy | 0.026980041389095773 | (+.f32 (/.f32 x s) #s(literal 1 binary32)) | |
| accuracy | 0.03515625 | (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) | |
| accuracy | 0.05859375 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) | |
| accuracy | 9.28713561140029 | #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) |
| 99.0ms | 179× | 0 | valid |
| 20.0ms | 77× | 0 | exit |
Compiled 558 to 81 computations (85.5% saved)
ival-div: 52.0ms (57.3% of total)ival-mult: 16.0ms (17.6% of total)ival-add: 11.0ms (12.1% of total)ival-exp: 5.0ms (5.5% of total)ival-neg: 3.0ms (3.3% of total)ival-expm1: 2.0ms (2.2% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) (patch #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* (/ 1/4 s) x) 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 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) (patch (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) #<representation binary32>) () ()) |
#s(alt (neg.f32 (*.f32 s #s(literal 4 binary32))) (patch (neg.f32 (*.f32 s #s(literal 4 binary32))) #<representation binary32>) () ()) |
#s(alt #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) (patch #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)) (patch (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32)) (patch (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (patch (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 x s) #s(literal 1 binary32)) (patch (*.f32 (/.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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt (+.f32 (/.f32 x s) #s(literal 1 binary32)) (patch (+.f32 (/.f32 x s) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (*.f32 s #s(literal 4 binary32)) (patch (*.f32 s #s(literal 4 binary32)) #<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 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) (patch (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #<representation binary32>) () ()) |
#s(alt (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) (patch #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (patch (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (/ 1 (exp (/ x s)))) (taylor 0 s) (#s(alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) (patch (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (exp (/ x s))) (taylor 0 s) (#s(alt (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) (patch #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) (patch #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) (patch #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (exp (/ x s)) (taylor 0 s) (#s(alt #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) (patch #s(approx (exp (/ x s)) (+.f32 (/.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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1 (+ 1 (exp (* -1 (/ x s))))) (taylor 0 s) (#s(alt #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) (patch #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/4 (/ x s)) (taylor 0 s) (#s(alt #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #<representation binary32>) () ())) ()) |
#s(alt (/ (+ (* 1/4 x) (* 1/2 s)) s) (taylor 0 s) (#s(alt #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) (patch #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/4 (/ x s)) (taylor 0 s) (#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 (* 1/4 (/ x s)) (taylor 0 s) (#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 (* 1/4 (/ x s)) (taylor 0 s) (#s(alt (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (patch (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #<representation binary32>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | s | @ | -inf | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ 1/4 s) x) 1/2) (* 1/4 (/ x s)) (/ x s) (/ -1 (neg (* s 4))) (neg (* s 4)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ -1 (neg (* s 4))) x) 1/2) (+ (* (+ (* (/ 1/2 s) x) -1) (/ x s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* 1 (* (/ 1/2 s) x)) -1) (* (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ x s) 1) (* s 4) (+ (* (/ 1/2 s) x) -1) (* (+ (* (/ 1/2 s) x) -1) (/ x s)) (+ (* (+ (* 1 (* (/ 1/2 s) x)) -1) (* (/ x s) 1)) 1) (exp (/ (neg x) s)) (* (/ 1/2 s) x)) |
| 3.0ms | x | @ | -inf | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ 1/4 s) x) 1/2) (* 1/4 (/ x s)) (/ x s) (/ -1 (neg (* s 4))) (neg (* s 4)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ -1 (neg (* s 4))) x) 1/2) (+ (* (+ (* (/ 1/2 s) x) -1) (/ x s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* 1 (* (/ 1/2 s) x)) -1) (* (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ x s) 1) (* s 4) (+ (* (/ 1/2 s) x) -1) (* (+ (* (/ 1/2 s) x) -1) (/ x s)) (+ (* (+ (* 1 (* (/ 1/2 s) x)) -1) (* (/ x s) 1)) 1) (exp (/ (neg x) s)) (* (/ 1/2 s) x)) |
| 2.0ms | x | @ | inf | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ 1/4 s) x) 1/2) (* 1/4 (/ x s)) (/ x s) (/ -1 (neg (* s 4))) (neg (* s 4)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ -1 (neg (* s 4))) x) 1/2) (+ (* (+ (* (/ 1/2 s) x) -1) (/ x s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* 1 (* (/ 1/2 s) x)) -1) (* (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ x s) 1) (* s 4) (+ (* (/ 1/2 s) x) -1) (* (+ (* (/ 1/2 s) x) -1) (/ x s)) (+ (* (+ (* 1 (* (/ 1/2 s) x)) -1) (* (/ x s) 1)) 1) (exp (/ (neg x) s)) (* (/ 1/2 s) x)) |
| 2.0ms | s | @ | 0 | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ 1/4 s) x) 1/2) (* 1/4 (/ x s)) (/ x s) (/ -1 (neg (* s 4))) (neg (* s 4)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ -1 (neg (* s 4))) x) 1/2) (+ (* (+ (* (/ 1/2 s) x) -1) (/ x s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* 1 (* (/ 1/2 s) x)) -1) (* (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ x s) 1) (* s 4) (+ (* (/ 1/2 s) x) -1) (* (+ (* (/ 1/2 s) x) -1) (/ x s)) (+ (* (+ (* 1 (* (/ 1/2 s) x)) -1) (* (/ x s) 1)) 1) (exp (/ (neg x) s)) (* (/ 1/2 s) x)) |
| 2.0ms | s | @ | inf | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ 1/4 s) x) 1/2) (* 1/4 (/ x s)) (/ x s) (/ -1 (neg (* s 4))) (neg (* s 4)) (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+ (* (/ -1 (neg (* s 4))) x) 1/2) (+ (* (+ (* (/ 1/2 s) x) -1) (/ x s)) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (+ (* 1 (* (/ 1/2 s) x)) -1) (* (/ x s) 1) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ x s) 1) (* s 4) (+ (* (/ 1/2 s) x) -1) (* (+ (* (/ 1/2 s) x) -1) (/ x s)) (+ (* (+ (* 1 (* (/ 1/2 s) x)) -1) (* (/ x s) 1)) 1) (exp (/ (neg x) s)) (* (/ 1/2 s) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 308 | 5044 |
| 1 | 912 | 4676 |
| 2 | 2919 | 4459 |
| 0 | 8443 | 4259 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(exp (/ x s)) |
(exp (/ x s)) |
(exp (/ x s)) |
(exp (/ 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) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(* -4 s) |
(* -4 s) |
(* -4 s) |
(* -4 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) |
(* 1/2 (/ (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 (+ 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 (/ x s)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) 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)))) |
(/ x s) |
(/ (+ s x) s) |
(/ (+ s x) s) |
(/ (+ s x) s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 1/2 (/ x s)) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(/ (+ (* -1 s) (* 1/2 x)) s) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
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(* 1/2 (/ x s)) |
(* 1/2 (/ x s)) |
(* 1/2 (/ x s)) |
(* 1/2 (/ x s)) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(/ 1 (exp (/ x s))) |
(exp (/ x s)) |
(exp (/ x s)) |
(exp (/ x s)) |
(exp (/ 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 (+ 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)))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 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)))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* 1/2 (/ x s)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 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)))) |
(/ x s) |
(* x (+ (/ 1 s) (/ 1 x))) |
(* x (+ (/ 1 s) (/ 1 x))) |
(* x (+ (/ 1 s) (/ 1 x))) |
(* 1/2 (/ x s)) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(exp (* -1 (/ x s))) |
(* 1/2 (/ x s)) |
(* 1/2 (/ x s)) |
(* 1/2 (/ x s)) |
(* 1/2 (/ x s)) |
| Outputs |
|---|
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.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 (/.f32 #s(literal 1/4 binary32) s) x) |
(/ (+ (* 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 (/.f32 #s(literal 1/4 binary32) s) x) |
(* 1/4 (/ x s)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(* 1/4 (/ x s)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(* 1/4 (/ x s)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ x s) |
(/.f32 x s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(* -4 s) |
(*.f32 #s(literal -4 binary32) s) |
(* -4 s) |
(*.f32 #s(literal -4 binary32) s) |
(* -4 s) |
(*.f32 #s(literal -4 binary32) s) |
(* -4 s) |
(*.f32 #s(literal -4 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))) |
(* 1/4 (/ x s)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(/ (+ (* 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) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) 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 (+ 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 (/ 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) |
(/ 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)) |
(/ x s) |
(/.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) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) 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) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) 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 (* 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 (* 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) (pow s 2))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) 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) |
(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 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))) |
(-.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) (/.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32)) #s(literal -1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 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 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32))) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32))) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (/ x s)) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))) |
(+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
(+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 x (/.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 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #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)))))) |
(-.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
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(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
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(*.f32 #s(literal -4 binary32) s) |
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#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #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)))))) |
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#s(literal 1/2 binary32) |
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(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
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#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
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#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #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)))))) |
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#s(literal 2 binary32) |
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(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
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(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
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#s(literal 1 binary32) |
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(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
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#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
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#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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))) |
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(- (+ 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)))))) |
(-.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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)))) |
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#s(literal 2 binary32) |
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(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
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#s(literal 1 binary32) |
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(*.f32 #s(literal 4 binary32) s) |
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(*.f32 #s(literal 4 binary32) s) |
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(*.f32 #s(literal 4 binary32) s) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
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#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) |
(/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) |
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(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) |
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#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
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(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
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#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
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(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
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(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
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#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
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(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))) |
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#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
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#s(literal 1 binary32) |
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(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))) |
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#s(literal 1 binary32) |
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(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))) |
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#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
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#s(literal 1/2 binary32) |
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(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
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(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
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(/ 1/4 s) |
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(*.f32 #s(literal -4 binary32) s) |
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(*.f32 #s(literal -4 binary32) s) |
(* -4 s) |
(*.f32 #s(literal -4 binary32) s) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #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))) |
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#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
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#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 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) 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)) |
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#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #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))) |
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#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
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(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
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#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
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(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
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-1 |
#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 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 (/.f32 #s(literal 1/4 binary32) s) x #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 (/.f32 #s(literal 1/4 binary32) s) x #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 (/ x s)) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(+ 1 (/ x s)) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(+ 1 (/ x s)) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
(* 4 s) |
(*.f32 #s(literal 4 binary32) s) |
-1 |
#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) |
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) |
(* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 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 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) 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 |
#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 (*.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 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) #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 (/.f32 #s(literal 1/4 binary32) s) x #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)))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 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)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 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 (/ x s)) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) x) s) #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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) #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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(* 1/4 (/ x s)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(* 1/4 (/ x s)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(* 1/4 (/ x s)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(* 1/4 (/ x s)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(/ 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) #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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 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)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) #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 (/.f32 #s(literal 1/4 binary32) s) x #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)))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 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)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 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) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) #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 (/.f32 #s(literal 1/4 binary32) s) x #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)))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 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 (/ x s)) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(+ 1 (/ x s)) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(+ 1 (/ x s)) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
-1 |
#s(literal -1 binary32) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(- (* 1/2 (/ x s)) 1) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) |
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) |
(* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) (neg.f32 s)) |
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)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
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)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 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 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (+ 1 (/ 1 (exp (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+ 1 (/ 1 (exp (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (exp (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
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(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (/ 1 x)) x)) (* 1/2 (/ 1 (pow s 2))))) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x) |
(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 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(* 1/2 (/ x s)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 364 |
| 0 | 76 | 336 |
| 1 | 338 | 296 |
| 2 | 2154 | 296 |
| 0 | 8421 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) |
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/.f32 x s) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) |
(neg.f32 (*.f32 s #s(literal 4 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32)) |
(+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32)))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) |
(*.f32 (/.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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(*.f32 s #s(literal 4 binary32)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) |
(fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) x) |
| Outputs |
|---|
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Compiled 26 627 to 3 517 computations (86.8% saved)
104 alts after pruning (92 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 406 | 58 | 1 464 |
| Fresh | 23 | 34 | 57 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 9 | 9 |
| Total | 1 431 | 104 | 1 535 |
| Status | Accuracy | Program |
|---|---|---|
| 45.8% | (/.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))))) | |
| 47.0% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) | |
| ✓ | 48.3% | (/.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)))) |
| 44.4% | (/.f32 #s(literal 1 binary32) (fma.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))) | |
| 44.4% | (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 x s) #s(literal 1 binary32) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 #s(literal 1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.6% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s)))))) | |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.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 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (/.f32 (neg.f32 s) x) #s(literal 1 binary32))) (*.f32 (neg.f32 s) #s(literal 1 binary32))) (*.f32 (neg.f32 s) (/.f32 (/.f32 (neg.f32 s) x) #s(literal 1 binary32)))) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (/.f32 (neg.f32 x) (neg.f32 (neg.f32 (neg.f32 s)))) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| ✓ | 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (*.f32 #s(literal -1 binary32) (neg.f32 x)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| ✓ | 37.2% | (/.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))))) |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 1 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.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))))) | |
| 37.2% | (/.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 (/ x s)) -1) #s(literal -1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.f32 x s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.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))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s) (fma.f32 (/.f32 #s(literal -1 binary32) s) x #s(literal 1 binary32)))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* 1 (* (/ 1/2 s) x)) -1) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) | |
| 55.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (+.f32 (/.f32 (neg.f32 x) s) (*.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x))) #s(literal 1 binary32))))) | |
| ✓ | 44.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) |
| 44.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) | |
| 56.6% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (/.f32 x s)) #s(literal 1 binary32))))) | |
| 53.0% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 #s(approx (* (+ (* (/ 1/2 s) x) -1) (/ x s)) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))) #s(literal 1 binary32))))) | |
| 37.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) (/ 1 (/ 1 x))) 1) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))) | |
| 44.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| 44.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) | |
| 45.8% | (*.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)))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 4 binary32)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -4 binary32)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) #s(literal 4 binary32)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 4 binary32)) #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) | |
| ✓ | 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) s) #s(literal -1 binary32))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (neg.f32 s))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 s) #s(literal -1/4 binary32)))) x #s(literal 1/2 binary32))) | |
| 37.1% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 s) #s(literal -4 binary32)))) x #s(literal 1/2 binary32))) | |
| ✓ | 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 #s(literal -4 binary32) s) #s(literal 1 binary32))))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) s) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/4 binary32)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 35.8% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1/2 binary32))) | |
| 34.0% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) | |
| 31.6% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) s) #s(literal 1/2 binary32))) | |
| 29.6% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) | |
| 27.0% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 22.9% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) s) #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))) | |
| 23.8% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) | |
| 20.1% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) | |
| 37.2% | #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))) | |
| 18.1% | #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))) | |
| 37.2% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (/.f32 x (*.f32 #s(literal -4 binary32) s)) #s(literal 1/2 binary32))) | |
| 15.3% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) #s(literal 1/2 binary32))) | |
| 33.5% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) | |
| 36.0% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) | |
| ✓ | 7.3% | #s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
| ✓ | 37.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 3 628 to 1 779 computations (51% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.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))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) 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 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) #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 binary32) (/.f32 x (*.f32 #s(literal -4 binary32) 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 binary32) (*.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 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) s) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) s))) x #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 (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 s) #s(literal -4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) s) #s(literal -1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 4 binary32)) x #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(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) #s(literal 4 binary32)) x #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) #s(approx (+ (* 1/2 (/ x s)) -1) #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) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
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(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)) (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 (/.f32 x s) (/.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) (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 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (/.f32 (neg.f32 s) x) #s(literal 1 binary32))) (*.f32 (neg.f32 s) #s(literal 1 binary32))) (*.f32 (neg.f32 s) (/.f32 (/.f32 (neg.f32 s) x) #s(literal 1 binary32)))) #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) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 #s(literal -1 binary32) (/.f32 s x))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(/.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 (/.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)) (pow.f32 (sqrt.f32 (E.f32)) (/.f32 x s)))))) |
(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 (/.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)))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/4 binary32) x) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal -1/4 binary32) (*.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32))) s) #s(literal 1/8 binary32))) s)) s))) |
(*.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))) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (exp.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 (+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))) (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))) (*.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s))))))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
7 calls:
| 81.0ms | x |
| 79.0ms | (/.f32 (neg.f32 x) s) |
| 63.0ms | (neg.f32 x) |
| 44.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 43.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | s |
| 99.8% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.8% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 99.8% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 99.8% | 1 | (/.f32 (neg.f32 x) s) |
| 99.8% | 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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.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))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) 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 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) #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 binary32) (/.f32 x (*.f32 #s(literal -4 binary32) 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 binary32) (*.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 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) s) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) s))) x #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 (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 s) #s(literal -4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) s) #s(literal -1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 4 binary32)) x #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(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) #s(literal 4 binary32)) x #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) #s(approx (+ (* 1/2 (/ x s)) -1) #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) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
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(/.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 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (/.f32 (neg.f32 s) x) #s(literal 1 binary32))) (*.f32 (neg.f32 s) #s(literal 1 binary32))) (*.f32 (neg.f32 s) (/.f32 (/.f32 (neg.f32 s) x) #s(literal 1 binary32)))) #s(literal 1 binary32))))) |
(/.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)))) |
7 calls:
| 83.0ms | s |
| 66.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 40.0ms | (/.f32 (neg.f32 x) s) |
| 39.0ms | (neg.f32 x) |
| 39.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | s |
| 99.7% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.7% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 99.7% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 99.7% | 1 | (/.f32 (neg.f32 x) s) |
| 99.7% | 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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.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))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) 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 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) #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 binary32) (/.f32 x (*.f32 #s(literal -4 binary32) 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 binary32) (*.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 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) s) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) s))) x #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 (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 s) #s(literal -4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) s) #s(literal -1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 4 binary32)) x #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(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) #s(literal 4 binary32)) x #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) #s(approx (+ (* 1/2 (/ x s)) -1) #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) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 s) #s(literal -1/4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* 1 (* (/ 1/2 s) x)) -1) #s(literal -1 binary32)) (*.f32 (/.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(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s)))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 #s(literal -4 binary32) s) #s(literal 1 binary32))))) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #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 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) -1) s) (/ 1 (/ 1 x))) 1) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)))) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ 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) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.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 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 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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 #s(approx (* (+ (* (/ 1/2 s) x) -1) (/ x s)) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (*.f32 s s))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.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) #s(approx (+ 1 (pow (E) (/ (neg x) s))) (-.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 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) (*.f32 #s(literal 1/2 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 (/.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) (+.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 x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 x (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) 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 (/.f32 x s) (fma.f32 #s(literal 1/2 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 (/.f32 x s) (fma.f32 #s(literal 1/2 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 (/.f32 x s) (fma.f32 x (/.f32 #s(literal 1/2 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 (/.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 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 x s) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 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)) (+.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (/.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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) 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 (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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (*.f32 (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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.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 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.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 (/.f32 x s) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) 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) (fma.f32 (*.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) (+.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 (/.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 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (*.f32 (/.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 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.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 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (*.f32 #s(literal -1 binary32) (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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.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 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 2 binary32)) #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) (fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1/2 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 (/.f32 x s) (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (neg.f32 x) #s(literal 2 binary32)) #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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (/.f32 (neg.f32 x) (neg.f32 (neg.f32 (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 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) 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 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s) (fma.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 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (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 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.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)) #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) s) x)) (*.f32 x x)))))) |
(/.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))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (+.f32 (/.f32 (neg.f32 x) s) (*.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 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 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x) (/.f32 #s(literal 1 binary32) 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 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #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 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1 binary32)) #s(literal 1 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)))) |
(/.f32 #s(literal 1 binary32) (+.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 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) (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 (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))))) |
(/.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 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 (/.f32 x s) (/.f32 #s(literal 1 binary32) x)) (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 (/.f32 x s) (/.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) (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 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32)))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (pow.f32 (*.f32 s #s(literal 4 binary32)) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (/.f32 (neg.f32 s) x) #s(literal 1 binary32))) (*.f32 (neg.f32 s) #s(literal 1 binary32))) (*.f32 (neg.f32 s) (/.f32 (/.f32 (neg.f32 s) x) #s(literal 1 binary32)))) #s(literal 1 binary32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #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 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x))))) |
7 calls:
| 63.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 55.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 48.0ms | s |
| 47.0ms | (neg.f32 x) |
| 40.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 2 | x |
| 66.1% | 2 | s |
| 88.8% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 88.8% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 88.8% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 88.8% | 2 | (/.f32 (neg.f32 x) s) |
| 88.3% | 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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
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(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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)) (+.f32 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (/.f32 x s) (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (*.f32 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (/.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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) 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 (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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (*.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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (*.f32 (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) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.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 (/.f32 x s) (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.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 (/.f32 x s) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32)) 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) (fma.f32 (*.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) (+.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 (/.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 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (*.f32 (/.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 (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.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 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (*.f32 #s(literal -1 binary32) (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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (/.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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (*.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 (/.f32 x s) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 2 binary32)) #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) (fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 #s(literal -1/2 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 (/.f32 x s) (fma.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (neg.f32 x) #s(literal 2 binary32)) #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 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (/.f32 (neg.f32 x) (neg.f32 (neg.f32 (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 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) 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 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s) (fma.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 (*.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s)) x (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 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (/.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 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1 binary32) x) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.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)) #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) s) x)) (*.f32 x x)))))) |
(/.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))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (+.f32 (+.f32 (/.f32 (neg.f32 x) s) (*.f32 (/.f32 x s) (*.f32 (/.f32 #s(literal 1/2 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 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x) (/.f32 #s(literal 1 binary32) 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 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #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 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 (fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 s) x)) #s(literal 1 binary32)) #s(literal 1 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)))) |
(/.f32 #s(literal 1 binary32) (+.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 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 s)) (*.f32 (neg.f32 s) x)) (*.f32 (neg.f32 s) (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 (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))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #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 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))))) |
4 calls:
| 65.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 40.0ms | (/.f32 (neg.f32 x) s) |
| 35.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 30.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 88.8% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 88.8% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 88.8% | 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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.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))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) 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 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) #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 binary32) (/.f32 x (*.f32 #s(literal -4 binary32) 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 binary32) (*.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 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) s) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) s))) x #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 (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 s) #s(literal -4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) s) #s(literal -1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 4 binary32)) x #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(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) #s(literal 4 binary32)) x #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) #s(approx (+ (* 1/2 (/ x s)) -1) #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) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 s) #s(literal -1/4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* 1 (* (/ 1/2 s) x)) -1) #s(literal -1 binary32)) (*.f32 (/.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(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s)))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 #s(literal -4 binary32) s) #s(literal 1 binary32))))) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 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))))) |
6 calls:
| 23.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 19.0ms | x |
| 19.0ms | (neg.f32 x) |
| 19.0ms | (/.f32 (neg.f32 x) s) |
| 16.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 2 | x |
| 75.1% | 2 | (neg.f32 x) |
| 75.1% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 75.1% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 75.1% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 75.1% | 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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.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))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) 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 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) #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 binary32) (/.f32 x (*.f32 #s(literal -4 binary32) 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 binary32) (*.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 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) s) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) s))) x #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 (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 s) #s(literal -4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) s) #s(literal -1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 4 binary32)) x #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(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) #s(literal 4 binary32)) x #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) #s(approx (+ (* 1/2 (/ x s)) -1) #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) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 s) #s(literal -1/4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* 1 (* (/ 1/2 s) x)) -1) #s(literal -1 binary32)) (*.f32 (/.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(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s)))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 #s(literal -4 binary32) s) #s(literal 1 binary32))))) x #s(literal 1/2 binary32))) |
| Outputs |
|---|
(/.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) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s)))))) |
6 calls:
| 21.0ms | (neg.f32 x) |
| 19.0ms | x |
| 17.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 17.0ms | (/.f32 (neg.f32 x) s) |
| 16.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.7% | 2 | (neg.f32 x) |
| 70.7% | 2 | x |
| 75.1% | 2 | (/.f32 (neg.f32 x) s) |
| 75.1% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 75.1% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 75.1% | 2 | (exp.f32 (/.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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.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))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) 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 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) #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 binary32) (/.f32 x (*.f32 #s(literal -4 binary32) 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 binary32) (*.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 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) s) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) s))) x #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 (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 s) #s(literal -4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) s) #s(literal -1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 4 binary32)) x #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(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) #s(literal 4 binary32)) x #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) #s(approx (+ (* 1/2 (/ x s)) -1) #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) #s(literal -1 binary32)) #s(literal 1 binary32))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 s) #s(literal -1/4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s #s(literal 4 binary32)) #s(literal 1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) #s(approx (exp (/ (neg x) s)) (fma.f32 #s(approx (+ (* 1 (* (/ 1/2 s) x)) -1) #s(literal -1 binary32)) (*.f32 (/.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(approx (+ (* (/ 1/2 s) x) -1) #s(literal -1 binary32)) (*.f32 (/.f32 x s) #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 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) #s(literal -1 binary32)) #s(literal 1 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))))) |
7 calls:
| 41.0ms | x |
| 40.0ms | (neg.f32 x) |
| 20.0ms | s |
| 17.0ms | (/.f32 (neg.f32 x) s) |
| 16.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 1 | s |
| 52.4% | 2 | x |
| 52.4% | 2 | (neg.f32 x) |
| 53.9% | 2 | (/.f32 (neg.f32 x) s) |
| 53.9% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 53.9% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 53.9% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.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))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) 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 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) #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 binary32) (/.f32 x (*.f32 #s(literal -4 binary32) 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 binary32) (*.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 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) s) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) s))) x #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 (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 s) #s(literal -4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) s) #s(literal -1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 4 binary32)) x #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(literal 1 binary32) #s(approx (pow (E) (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 x s))))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 #s(literal -4 binary32) s) #s(literal -1 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) s)) #s(literal 4 binary32)) x #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 #s(literal 1 binary32) (/.f32 x s))))) |
6 calls:
| 19.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 18.0ms | (/.f32 (neg.f32 x) s) |
| 17.0ms | x |
| 16.0ms | (neg.f32 x) |
| 14.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.5% | 2 | x |
| 51.5% | 2 | (neg.f32 x) |
| 52.2% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 52.2% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 52.2% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 52.2% | 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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.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))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) 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 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) #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 binary32) (/.f32 x (*.f32 #s(literal -4 binary32) 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 binary32) (*.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 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) s) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) s))) x #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 (+ 1 (pow (E) (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 s) #s(literal -4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 #s(literal 4 binary32) s) #s(literal -1 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 x #s(literal 4 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 4 binary32)) x #s(literal 1/2 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:
| 31.0ms | (/.f32 (neg.f32 x) s) |
| 23.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 15.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 12.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 52.2% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 52.2% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 52.2% | 2 | (/.f32 (neg.f32 x) s) |
Compiled 25 to 24 computations (4% saved)
Total -9.9b remaining (-49.2%)
Threshold costs -9.9b (-49.2%)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (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 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) 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 x (/.f32 #s(literal 1/4 binary32) 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 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (+.f32 (*.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))) (+.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (neg.f32 x) (/.f32 #s(literal -1/4 binary32) 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 (neg.f32 (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) #s(approx (+ (* (/ 1/4 s) x) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/4 binary32) s) x) #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 binary32) (/.f32 x (*.f32 #s(literal -4 binary32) 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 binary32) (*.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 binary32) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal -1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) x) (/.f32 #s(literal 1 binary32) 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 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1 binary32) s) #s(literal -1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal -1/4 binary32) s) #s(literal -1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1/4 binary32) s) #s(literal 1 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 s #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1/4 binary32) (neg.f32 (neg.f32 (neg.f32 s)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s #s(literal 4 binary32)))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 #s(literal 4 binary32) (neg.f32 s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 0 binary32) (*.f32 #s(literal -4 binary32) s))) x #s(literal 1/2 binary32))) |
#s(approx (/ (- 1 (exp (* (/ x s) -2))) (* (- 1 (exp (* (/ x s) -2))) (+ (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 #s(literal 4 binary32) s))) x #s(literal 1/2 binary32))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
7 calls:
| 24.0ms | s |
| 24.0ms | (neg.f32 x) |
| 12.0ms | x |
| 11.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 11.0ms | (/.f32 (neg.f32 x) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.2% | 1 | s |
| 37.2% | 1 | x |
| 37.2% | 1 | (neg.f32 x) |
| 37.2% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 37.2% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 37.2% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 37.2% | 1 | (/.f32 (neg.f32 x) s) |
Compiled 29 to 31 computations (-6.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.7928736209869385 | 27.240787506103516 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.7928736209869385 | 27.240787506103516 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.9970256686210632 | 0.9975082874298096 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5928477048873901 | 0.9752112030982971 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.025418847799301147 | 0.6867737770080566 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.672264337539673 | -0.3757503032684326 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.672264337539673 | -0.3757503032684326 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 351 |
| 1 | 118 | 351 |
| 2 | 138 | 351 |
| 3 | 155 | 351 |
| 4 | 187 | 351 |
| 5 | 220 | 351 |
| 6 | 264 | 351 |
| 7 | 374 | 351 |
| 8 | 471 | 351 |
| 9 | 542 | 351 |
| 10 | 593 | 351 |
| 11 | 616 | 351 |
| 12 | 627 | 351 |
| 13 | 628 | 351 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
(/.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 5 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #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 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x)))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #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 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))) |
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 16735273/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 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 #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 #s(literal 1 binary32) (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))) |
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 13421773/268435456 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 (/ x s)) -1) #s(literal -1 binary32)) #s(literal 1 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(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) (pow.f32 (E.f32) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (E.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) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #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 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) x) x)))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 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) (*.f32 s s)) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 #s(literal -1 binary32) s)) x)) x) x))) #s(literal 1 binary32)))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #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 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 5 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #s(literal 1 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 #s(literal 1/2 binary32) (*.f32 s s)) x) x))) #s(literal 1 binary32)))) |
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 16735273/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 16735273/16777216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) #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)))) |
(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 #s(literal 1 binary32) (/.f32 x s))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s))))))) |
(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 #s(literal 1 binary32) (/.f32 x s))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (/ x s) 1) (/.f32 x s)))) #s(literal 1 binary32)))) |
(if (<=.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 13421773/268435456 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 (/ x s)) -1) #s(literal -1 binary32)) #s(literal 1 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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 13421773/268435456 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(approx (+ (* 1/2 (/ x s)) -1) #s(literal -1 binary32)) #s(literal 1 binary32))) #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)))) |
(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 | 308 | 5044 |
| 1 | 912 | 4676 |
| 2 | 2919 | 4459 |
| 0 | 8443 | 4259 |
| 0 | 617 | 5183 |
| 1 | 1970 | 4123 |
| 2 | 6092 | 3979 |
| 0 | 8456 | 3790 |
| 0 | 36 | 198 |
| 0 | 62 | 183 |
| 1 | 269 | 176 |
| 2 | 1988 | 176 |
| 0 | 8215 | 176 |
| 0 | 8 | 27 |
| 0 | 13 | 27 |
| 1 | 48 | 27 |
| 2 | 255 | 27 |
| 3 | 2101 | 27 |
| 0 | 8465 | 26 |
| 0 | 180 | 4789 |
| 1 | 485 | 4274 |
| 2 | 1405 | 4134 |
| 3 | 4633 | 3994 |
| 0 | 8366 | 3691 |
| 0 | 140 | 857 |
| 1 | 378 | 768 |
| 2 | 1150 | 742 |
| 3 | 3902 | 722 |
| 0 | 8435 | 682 |
| 1× | fuel |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 440 to 248 computations (43.6% saved)
Compiled 474 to 166 computations (65% saved)
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