
Time bar (total: 3.6s)
| 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 34 to 17 computations (50% saved)
| 594.0ms | 8 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
ival-div!: 94.0ms (24.1% of total)ival-neg: 73.0ms (18.7% of total)ival-mult!: 72.0ms (18.4% of total)ival-exp: 66.0ms (16.9% of total)ival-fabs: 59.0ms (15.1% of total)ival-add!: 25.0ms (6.4% of total)adjust: 2.0ms (0.5% of total)ival-<=: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 0 | 2 | (-1.562352580641857e-9 8.18935631113904e-12) | 0 | - | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | (neg.f32 (fabs.f32 x)) |
| 0 | 0 | - | 0 | - | (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
| 0 | 0 | - | 0 | - | (/.f32 (neg.f32 (fabs.f32 x)) s) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (fabs.f32 x) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) | sensitivity | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 2 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 2 | 0 | 254 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 194 to 37 computations (80.9% saved)
ival-div!: 5.0ms (24.5% of total)ival-exp: 4.0ms (19.6% of total)ival-mult!: 4.0ms (19.6% of total)ival-fabs: 3.0ms (14.7% of total)ival-neg: 2.0ms (9.8% of total)ival-add!: 1.0ms (4.9% of total)adjust: 0.0ms (0% of total)Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 166 |
| 1 | 153 | 154 |
| 2 | 659 | 148 |
| 3 | 3384 | 147 |
| 0 | 11 | 26 |
| 0 | 19 | 26 |
| 1 | 47 | 26 |
| 2 | 185 | 25 |
| 3 | 872 | 25 |
| 4 | 7222 | 25 |
| 0 | 9008 | 25 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| 1× | node-limit |
| Inputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s s) (-.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal -1 binary32)))) |
(abs x)
Compiled 26 to 11 computations (57.7% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
Compiled 26 to 11 computations (57.7% saved)
| Inputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
| Outputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s))))) |
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x)))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s)))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 4 s))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s)))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 2 s))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (* -1 (/ (fabs x) s)))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (/ (fabs x) s) 2))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | s | @ | inf | ((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) 1) |
| 4.0ms | x | @ | inf | ((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) 1) |
| 3.0ms | x | @ | 0 | ((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) 1) |
| 3.0ms | s | @ | -inf | ((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) 1) |
| 2.0ms | x | @ | -inf | ((/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) x s (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 288 | 1957 |
| 0 | 304 | 1585 |
| 1 | 1840 | 1515 |
| 0 | 9793 | 1468 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(literal 1 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s))))) |
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x)))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s)))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 4 s))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s)))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 2 s))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (* -1 (/ (fabs x) s)))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (/ (fabs x) s) 2))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
| Outputs |
|---|
(/.f32 (neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s))) (neg.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (neg.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 (neg.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))) |
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(+.f32 (/.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) (/.f32 (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (cosh.f32 (/.f32 (fabs.f32 x) s)) (-.f32 (*.f32 (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.f32 (fabs.f32 x) s))) |
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) |
(+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (fabs.f32 x) s))) |
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
(*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) s)) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fabs.f32 x)))) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (/.f32 (fabs.f32 x) s)) |
(*.f32 #s(literal -1 binary32) (fabs.f32 x)) |
(*.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(neg.f32 (fabs.f32 x)) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(sqrt.f32 (*.f32 x x)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(pow.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(fabs.f32 (neg.f32 (neg.f32 x))) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 x) |
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32))) |
x |
s |
(*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s) |
(*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) |
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) |
(*.f32 s (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (-.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s))) (*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) |
(fma.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32) (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s))) |
(+.f32 (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) |
(*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s) |
(*.f32 s (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) s) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 #s(literal 1 binary32) s) (-.f32 (*.f32 (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) (*.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 s #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 3 binary32))) (fma.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 s #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (*.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) |
(fma.f32 #s(literal 1 binary32) s (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) |
(fma.f32 s #s(literal 1 binary32) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) |
(+.f32 (*.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s)) |
(+.f32 (*.f32 s #s(literal 1 binary32)) (*.f32 s (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 (+.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal -1 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))) |
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))))))) (/.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))))))) |
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
#s(approx (exp (/ (neg (fabs x)) s)) (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) |
#s(approx (/ (neg (fabs x)) s) (neg.f32 (/.f32 (fabs.f32 x) s))) |
#s(approx (neg (fabs x)) (neg.f32 (fabs.f32 x))) |
#s(approx (fabs x) (fabs.f32 x)) |
#s(approx x x) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) |
#s(approx s s) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/24 binary32) (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)) #s(literal 1/8 binary32))) #s(literal 1/4 binary32)) (+.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))))) (pow.f32 s #s(literal 3 binary32))) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal 1/16 binary32)))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) #s(literal -1/24 binary32) (fma.f32 (pow.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 1/96 binary32) (*.f32 (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) #s(literal 1/4 binary32)) (fma.f32 (/.f32 (*.f32 (-.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1/24 binary32)) (fma.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))))) (fabs.f32 x)) (pow.f32 s #s(literal 4 binary32))) #s(literal -1 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/3 binary32)) #s(literal 1/16 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))))) (pow.f32 s #s(literal 3 binary32))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 7/12 binary32))) (pow.f32 s #s(literal 4 binary32))) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 #s(literal 3 binary32) (*.f32 x x))) (pow.f32 s #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal 1/16 binary32))))))) s)) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)) (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg (fabs x)) s)) (+.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))))) #s(literal 1 binary32))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 4 binary32)) s)) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) #s(literal 4 binary32)) s)) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (+.f32 (/.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -5/3 binary32)) (pow.f32 s #s(literal 3 binary32))) (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))))) #s(literal 4 binary32)) s)) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 2 binary32) s)) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32) #s(literal 2 binary32)) s)) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)) (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) s)) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))))) #s(literal 2 binary32)) s)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)) (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (+.f32 (fma.f32 (/.f32 (fabs.f32 x) s) #s(literal -1 binary32) (fma.f32 #s(literal -1/6 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))))) #s(literal 2 binary32))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) #s(literal 1/4 binary32)) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (+.f32 (/.f32 (fma.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) #s(literal 1/16 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (fabs.f32 x))) (pow.f32 s #s(literal 3 binary32))) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) s) #s(literal 1/96 binary32) (neg.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) #s(literal 1/16 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (fabs.f32 x)))))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 7/12 binary32))) s) #s(literal 1/16 binary32) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) #s(literal 1/16 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (fabs.f32 x)))) (fabs.f32 x) (*.f32 #s(literal 1/4 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 #s(literal 3 binary32) (*.f32 x x))))) s))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) #s(literal 1/4 binary32)) s))) |
#s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) #s(literal -1 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (*.f32 #s(literal 4 binary32) (/.f32 (fabs.f32 x) s)) #s(literal 4 binary32)) s))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)))) s))) s)) #s(literal 4 binary32)) s))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)) s))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 (fabs.f32 x))) s)) #s(literal 2 binary32)) s))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) #s(literal -1 binary32) (neg.f32 (fabs.f32 x))) s)) #s(literal 2 binary32)) s))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) #s(literal -1 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
Compiled 7 741 to 813 computations (89.5% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 12 | 212 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 201 | 12 | 213 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) | |
| ▶ | 99.8% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
| 99.7% | (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| 99.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) | |
| 25.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| ▶ | 96.9% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))) |
| ▶ | 95.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
| 75.9% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) #s(literal 4 binary32)) s))) | |
| ▶ | 94.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
| 96.6% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))) | |
| 18.1% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) | |
| ▶ | 26.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
Compiled 778 to 446 computations (42.7% saved)
| Inputs |
|---|
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) |
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
(neg.f32 (/.f32 (fabs.f32 x) s)) |
(/.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
x |
s |
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)) |
(*.f32 #s(literal 4 binary32) s) |
#s(literal 4 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))) |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32)) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) |
(fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) |
(/.f32 (*.f32 x x) s) |
(*.f32 x x) |
#s(literal -1/2 binary32) |
#s(literal -1 binary32) |
| Outputs |
|---|
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) s))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (exp (neg (/ (fabs x) s))))) |
#s(approx (neg (/ (fabs x) s)) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (fabs x) s))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 1 (exp (neg (/ (fabs x) s)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s))))) |
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x)))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s)))))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (/ (fabs x) s))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ (fabs x) s)))) |
#s(approx (+ (* (/ (* x x) s) -1/2) (fabs x)) #s(hole binary32 (fabs x))) |
#s(approx (+ (* (/ (* x x) s) -1/2) (fabs x)) #s(hole binary32 (+ (fabs x) (* -1/2 (/ (pow x 2) s))))) |
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (fabs x) (* s (pow x 2)))) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (* (pow x 2) (- (/ (fabs x) (* s (pow x 2))) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (+ (* (/ (* x x) s) -1/2) (fabs x)) #s(hole binary32 (* -1/2 (/ (pow x 2) s)))) |
#s(approx (+ (* (/ (* x x) s) -1/2) (fabs x)) #s(hole binary32 (* (pow x 2) (- (/ (fabs x) (pow x 2)) (* 1/2 (/ 1 s)))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (* 4 s) #s(hole binary32 (* 4 s))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 (fabs x)) (* 2 s)))) (pow s 2)))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s (fabs x))) (pow s 2)))) |
#s(approx (+ (* (/ (* x x) s) -1/2) (fabs x)) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s (fabs x))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (* -1 (/ (fabs x) s))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) s))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 1)) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 4)) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ (fabs x) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 2)) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 4 s))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s)))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 2 s))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (* -1 (/ (fabs x) s)))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 2)) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (/ (+ (fabs x) (* -1/2 (/ (pow x 2) s))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (/ (fabs x) s) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s)))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (/ (fabs x) s) 2))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow x 2) s))) s)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ (exp (neg (/ (fabs x) s))) s) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) x s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) 1 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) (+ (* (/ (* x x) s) -1/2) (fabs x)) (/ (* x x) s) (* x x) -1/2 -1) |
| 7.0ms | x | @ | -inf | ((/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ (exp (neg (/ (fabs x) s))) s) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) x s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) 1 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) (+ (* (/ (* x x) s) -1/2) (fabs x)) (/ (* x x) s) (* x x) -1/2 -1) |
| 5.0ms | x | @ | 0 | ((/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ (exp (neg (/ (fabs x) s))) s) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) x s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) 1 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) (+ (* (/ (* x x) s) -1/2) (fabs x)) (/ (* x x) s) (* x x) -1/2 -1) |
| 5.0ms | s | @ | 0 | ((/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ (exp (neg (/ (fabs x) s))) s) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) x s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) 1 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) (+ (* (/ (* x x) s) -1/2) (fabs x)) (/ (* x x) s) (* x x) -1/2 -1) |
| 4.0ms | s | @ | -inf | ((/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ (exp (neg (/ (fabs x) s))) s) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) x s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) 1 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ 1/4 s) 1/4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ 1 (exp (/ (neg (fabs x)) s))) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))) (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) (+ (* (/ (* x x) s) -1/2) (fabs x)) (/ (* x x) s) (* x x) -1/2 -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 463 | 4475 |
| 0 | 515 | 3749 |
| 1 | 2710 | 3395 |
| 0 | 8661 | 3296 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) |
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
(neg.f32 (/.f32 (fabs.f32 x) s)) |
(/.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
x |
s |
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(neg.f32 (fabs.f32 x)) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)) |
(*.f32 #s(literal 4 binary32) s) |
#s(literal 4 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))) |
(*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32)) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) |
(fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) |
(/.f32 (*.f32 x x) s) |
(*.f32 x x) |
#s(literal -1/2 binary32) |
#s(literal -1 binary32) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) s))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (exp (neg (/ (fabs x) s))))) |
#s(approx (neg (/ (fabs x) s)) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (fabs x) s))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 1 (exp (neg (/ (fabs x) s)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s))))) |
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x)))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ (fabs x) s))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s)))))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (/ (fabs x) s))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (+ (* -1/2 (/ (pow x 2) (pow s 2))) (/ (fabs x) s)))) |
#s(approx (+ (* (/ (* x x) s) -1/2) (fabs x)) #s(hole binary32 (fabs x))) |
#s(approx (+ (* (/ (* x x) s) -1/2) (fabs x)) #s(hole binary32 (+ (fabs x) (* -1/2 (/ (pow x 2) s))))) |
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (fabs x) (* s (pow x 2)))) (+ (* 1/2 (/ 1 (pow s 2))) (* 2 (/ 1 (pow x 2)))))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (* (pow x 2) (- (/ (fabs x) (* s (pow x 2))) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (+ (* (/ (* x x) s) -1/2) (fabs x)) #s(hole binary32 (* -1/2 (/ (pow x 2) s)))) |
#s(approx (+ (* (/ (* x x) s) -1/2) (fabs x)) #s(hole binary32 (* (pow x 2) (- (/ (fabs x) (pow x 2)) (* 1/2 (/ 1 s)))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (* 4 s) #s(hole binary32 (* 4 s))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (/ (+ (* -1 (* s (fabs x))) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 (fabs x)) (* 2 s)))) (pow s 2)))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s (fabs x))) (pow s 2)))) |
#s(approx (+ (* (/ (* x x) s) -1/2) (fabs x)) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s (fabs x))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (* -1 (/ (fabs x) s))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) s))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 1)) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 4)) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ (fabs x) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 2)) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 4 s))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s)))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 2 s))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (* -1 (/ (fabs x) s)))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 2)) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (/ (+ (fabs x) (* -1/2 (/ (pow x 2) s))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (/ (fabs x) s) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s)))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (/ (fabs x) s) 2))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) #s(hole binary32 (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow x 2) s))) s)))) |
| Outputs |
|---|
(/.f32 (neg.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s))) (neg.f32 (neg.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (neg.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s)) (neg.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(*.f32 (/.f32 x s) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 x s)) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s)) |
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 x) s) |
(/.f32 x (neg.f32 s)) |
(neg.f32 (/.f32 x s)) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 x) (neg.f32 s)) |
(/.f32 x s) |
x |
x |
s |
(*.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(*.f32 (fabs.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (fabs.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(*.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))))))) |
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)))) (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))) |
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 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))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.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 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))) (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32)) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))))) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)))) (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))))) (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))))))) |
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+.f32 (cosh.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32))))))) |
(/.f32 (+.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32))) (*.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32))) |
(/.f32 (fma.f32 #s(literal 2 binary32) (exp.f32 (/.f32 x s)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 x s)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32)))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
(/.f32 #s(literal -1/4 binary32) (neg.f32 s)) |
(/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (neg.f32 #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))))) |
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(*.f32 (/.f32 x s) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 x s)) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s)) |
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 x) s) |
(/.f32 x (neg.f32 s)) |
(neg.f32 (/.f32 x s)) |
(*.f32 #s(literal -1 binary32) x) |
(*.f32 x #s(literal -1 binary32)) |
(neg.f32 x) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)) |
(*.f32 #s(literal 4 binary32) s) |
(*.f32 s #s(literal 4 binary32)) |
#s(literal 4 binary32) |
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) (neg.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (neg.f32 (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)) #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)))) |
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(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
#s(literal -1/2 binary32) |
#s(literal -1 binary32) |
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#s(approx (/ (fabs x) s) (/.f32 x s)) |
#s(approx (fabs x) x) |
#s(approx (fabs x) x) |
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#s(approx (/ (exp (neg (/ (fabs x) s))) s) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)) #s(literal 1 binary32)) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.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(literal -1 binary32) (neg.f32 x)) s)) #s(literal 1 binary32)) s))) |
#s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 (fma.f32 (/.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(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s))))) s) #s(literal -1 binary32) #s(literal 4 binary32))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (/.f32 (fma.f32 #s(literal 3 binary32) (*.f32 x x) (neg.f32 (*.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s)))) s))) s) #s(literal -1 binary32) #s(literal 4 binary32))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (/.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(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) #s(literal 1/4 binary32)) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/24 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (+.f32 (fma.f32 (/.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 s #s(literal 3 binary32))) #s(literal 1/16 binary32) (*.f32 x (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (pow.f32 s #s(literal 3 binary32))))) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal 1/96 binary32) (neg.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) x (*.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/16 binary32)))))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 7/12 binary32))) s) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 #s(literal 3 binary32) (*.f32 x x))) s) #s(literal 1/4 binary32) (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) x (*.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/16 binary32)))) s))))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) #s(literal 1/4 binary32)) s))) |
#s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg (fabs x)) s)) (fma.f32 (/.f32 (fma.f32 (/.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(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 4 binary32)) #s(literal 4 binary32)) s))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (neg.f32 (/.f32 (fma.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)))) s))) s)) #s(literal 4 binary32)) s))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)) #s(literal 2 binary32)) s))) |
#s(approx (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.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(literal -1 binary32) (neg.f32 x)) s)) #s(literal 2 binary32)) s))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (/.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(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ (* (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) -1) 2) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) (fabs x)) s) (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s))) |
Compiled 13 132 to 1 472 computations (88.8% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 340 | 14 | 354 |
| Fresh | 5 | 2 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 349 | 17 | 366 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
| 99.7% | (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) | |
| 99.8% | (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) | |
| ▶ | 99.7% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal 2 binary32))) |
| 95.6% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))) | |
| 99.8% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) | |
| 97.4% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s))))) s) #s(literal -1 binary32) #s(literal 4 binary32)))) | |
| 25.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| 97.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))))) | |
| 97.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s)))) | |
| 94.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) | |
| ▶ | 99.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
| 97.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) | |
| ▶ | 95.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
| 24.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/16 binary32))) s)) | |
| ▶ | 18.1% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
| ✓ | 26.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
Compiled 1 016 to 626 computations (38.4% saved)
| Inputs |
|---|
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 x s)) |
(/.f32 x s) |
x |
s |
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) |
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
(neg.f32 (/.f32 (fabs.f32 x) s)) |
(/.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s) |
(+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) |
#s(literal 1/4 binary32) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) |
(fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) |
(*.f32 x x) |
#s(literal 1/8 binary32) |
(*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) |
#s(literal -1/16 binary32) |
(*.f32 #s(literal 3 binary32) (*.f32 x x)) |
#s(literal 3 binary32) |
(*.f32 s s) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
(*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) |
(*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) |
(pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
| Outputs |
|---|
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (+ (* -1 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (pow s 3))) (/ 1 (pow s 2)))) (/ 1 s)))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (pow s 4))) (* 1/2 (/ 1 (pow s 3))))) (/ 1 (pow s 2)))) (/ 1 s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 1 (exp (neg (/ (fabs x) s)))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (exp (neg (/ (fabs x) s))))) |
#s(approx (neg (/ (fabs x) s)) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (fabs x) s))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 1/4)) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))) |
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) #s(hole binary32 (* -1/16 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (* -1/16 (* 3 (* x x))) #s(hole binary32 (* -3/16 (pow x 2)))) |
#s(approx (* 3 (* x x)) #s(hole binary32 (* 3 (pow x 2)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ 1/2 (* s (+ 1 (exp (neg (/ (fabs x) s)))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (+ (* -1/4 (/ x (* (pow s 2) (+ 1 (exp (neg (/ (fabs x) s))))))) (* 1/2 (/ 1 (* s (+ 1 (exp (neg (/ (fabs x) s)))))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (+ (* x (- (* 1/48 (/ (pow x 2) (* (pow s 4) (+ 1 (exp (neg (/ (fabs x) s))))))) (* 1/4 (/ 1 (* (pow s 2) (+ 1 (exp (neg (/ (fabs x) s))))))))) (* 1/2 (/ 1 (* s (+ 1 (exp (neg (/ (fabs x) s)))))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (+ (* x (- (* (pow x 2) (+ (* -1/480 (/ (pow x 2) (* (pow s 6) (+ 1 (exp (neg (/ (fabs x) s))))))) (* 1/48 (/ 1 (* (pow s 4) (+ 1 (exp (neg (/ (fabs x) s))))))))) (* 1/4 (/ 1 (* (pow s 2) (+ 1 (exp (neg (/ (fabs x) s))))))))) (* 1/2 (/ 1 (* s (+ 1 (exp (neg (/ (fabs x) s)))))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* 2 (* s (+ 1 (exp (neg (/ (fabs x) s)))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (+ (* -1 (* x (+ 1 (exp (neg (/ (fabs x) s)))))) (* 2 (* s (+ 1 (exp (neg (/ (fabs x) s))))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (+ (* 2 (* s (+ 1 (exp (neg (/ (fabs x) s)))))) (* x (+ (* -1 (+ 1 (exp (neg (/ (fabs x) s))))) (* 1/2 (/ (* x (+ 1 (exp (neg (/ (fabs x) s))))) s))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (+ (* 2 (* s (+ 1 (exp (neg (/ (fabs x) s)))))) (* x (+ (* -1 (+ 1 (exp (neg (/ (fabs x) s))))) (* x (+ (* -1/6 (/ (* x (+ 1 (exp (neg (/ (fabs x) s))))) (pow s 2))) (* 1/2 (/ (+ 1 (exp (neg (/ (fabs x) s)))) s))))))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* 2 s))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (+ (* -1 x) (* 2 s)))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (+ (* 2 s) (* x (- (* 1/2 (/ x s)) 1))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (+ (* 2 s) (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 2)) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* 4 s))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* -4 x) (* 4 s)))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* 3 (/ x s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* x (+ (* -5/3 (/ x (pow s 2))) (* 3 (/ 1 s)))) 4))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 4)) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ x s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s))))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (+ (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)) (* 1/4 (/ (* x (exp (neg (/ (fabs x) s)))) (pow s 2)))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (+ (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)) (* x (- (* -1 (* x (+ (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 3))) (* 3/16 (/ (exp (neg (/ (fabs x) s))) (pow s 3)))))) (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 2)))))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (+ (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)) (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 4))) (+ (* -5/48 (/ (exp (neg (/ (fabs x) s))) (pow s 4))) (* 3/8 (/ (exp (neg (/ (fabs x) s))) (pow s 4))))))) (+ (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 3))) (* 3/16 (/ (exp (neg (/ (fabs x) s))) (pow s 3)))))) (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 2)))))))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) s))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 4)) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (* -4 (/ x s))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s))))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s))))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 2)) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 1/2)) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole 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))))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (/ 1 (* s (exp (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3))))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ (exp (* -1 (/ x s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ x s))))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2)))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) 2))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) 2))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3)))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3)))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2)))) |
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -2 (* (pow x 2) (fabs x))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow x 3)) (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s)) (* 1/16 (/ (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))))) s))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (/ (+ 1 (* -1 (/ x s))) s))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)) s))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (/ (- (+ 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)))) s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 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)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 4)) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ (fabs x) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 2)) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 1)) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))) s))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ (- (+ 1/4 (* -1/4 (/ x s))) (* 1/16 (/ (+ (* -2 x) (* -2 (fabs x))) s))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* 1/16 (/ (+ (* -2 x) (* -2 (fabs x))) s)) (+ (* 1/16 (/ (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (pow s 2))) (* 1/4 (/ (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 x) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* 1/16 (/ (+ (* -2 x) (* -2 (fabs x))) s)) (+ (* 1/16 (/ (+ (* -1/2 (* x (pow (fabs x) 2))) (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/3 (pow x 3)) (* -1/3 (pow (fabs x) 3))))) (pow s 3))) (+ (* 1/16 (/ (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (pow s 2))) (+ (* 1/4 (/ (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 x) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))) (pow s 2))) (+ (* 1/4 (/ (* (+ (* -2 x) (* -2 (fabs x))) (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2)))) (* 1/4 (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 x) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))))))) (pow s 3))) (* 1/4 (/ (* (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (- (* -1/4 x) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))) (pow s 3))))))))) s))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* 4 s))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* s (+ 4 (+ (* -2 (/ x s)) (* -2 (/ (fabs x) s))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* s (+ 4 (+ (* -2 (/ x s)) (+ (* -2 (/ (fabs x) s)) (+ (/ (* x (fabs x)) (pow s 2)) (+ (/ (pow x 2) (pow s 2)) (/ (pow (fabs x) 2) (pow s 2)))))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* s (+ 4 (+ (* -2 (/ x s)) (+ (* -2 (/ (fabs x) s)) (+ (* -1/2 (/ (* x (pow (fabs x) 2)) (pow s 3))) (+ (* -1/2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/3 (/ (pow x 3) (pow s 3))) (+ (* -1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* x (fabs x)) (pow s 2)) (+ (/ (pow x 2) (pow s 2)) (/ (pow (fabs x) 2) (pow s 2)))))))))))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* s (+ 2 (* -1 (/ x s)))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (+ (* 1/96 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/24 (pow x 3)) (+ (* -1 (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))))))) (pow s 4))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 4))))))))) s))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (* -4 (/ x s)))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (/ (- (+ 1/4 (* -1/4 (/ (fabs x) s))) (* -1/4 (/ x s))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 2))) (+ (* -1/4 (/ x s)) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/8 (pow (fabs x) 2)) (+ (* -1 (* x (- (* -1/4 (fabs x)) (* -1/4 x)))) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (pow s 3))) (+ (* -1/4 (/ x s)) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 3))))))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (* -1 (/ (fabs x) s))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) s))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole 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)))))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1/16 (/ (+ (* -4 x) (* 4 (fabs x))) s)) 1/4) s)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (* -1 (/ (- (/ x s) 1) s)))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s))) s)) 1) s)))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) s)) 1) s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 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))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (* -1 (/ (- (* 1/4 (/ x s)) (+ 1/4 (* 1/16 (/ (+ (* 2 x) (* 2 (fabs x))) s)))) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))) (* 1/8 (/ (pow x 2) s))) (+ (* 1/16 (/ (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) s)) (* 1/4 (/ (* (+ (* 2 x) (* 2 (fabs x))) (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))) s)))) s)) 1/4) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2)))) (* 1/4 (* (+ (* 2 x) (* 2 (fabs x))) (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))))))) (* 1/24 (/ (pow x 3) s))) (+ (* 1/16 (/ (+ (* 1/3 (pow x 3)) (+ (* 1/3 (pow (fabs x) 3)) (+ (* 1/2 (* x (pow (fabs x) 2))) (* 1/2 (* (pow x 2) (fabs x)))))) s)) (+ (* 1/4 (/ (* (+ (* 2 x) (* 2 (fabs x))) (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2)))) (* 1/4 (* (+ (* 2 x) (* 2 (fabs x))) (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))))))) s)) (* 1/4 (/ (* (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))) s))))) s))) s)) 1/4) s)))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* -1 (* s (- (+ (* 2 (/ x s)) (* 2 (/ (fabs x) s))) 4))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* 2 x) (* 2 (fabs x)))) (+ (/ (* x (fabs x)) s) (+ (/ (pow x 2) s) (/ (pow (fabs x) 2) s)))) s)) 4))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* 2 x) (* 2 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2)))) (+ (* 1/3 (/ (pow x 3) s)) (+ (* 1/3 (/ (pow (fabs x) 3) s)) (+ (* 1/2 (/ (* x (pow (fabs x) 2)) s)) (* 1/2 (/ (* (pow x 2) (fabs x)) s)))))) s))) s)) 4))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* -1 (* s (- (/ x s) 2))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) 2))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))) s)) 2))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* 1/24 (/ (pow x 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) (pow s 3))) (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) (* 1/96 (/ (pow x 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) s)) (/ (* x (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* 4 (/ x s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (+ (* 2 (/ (pow x 2) s)) (/ (pow x 2) s))) s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* 2/3 (/ (pow x 3) s)) (/ (pow x 3) s))) s))) s)) 4))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (* -1 (/ (- (* 1/4 (/ (fabs x) s)) (+ 1/4 (* 1/4 (/ x s)))) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (fabs x)) (* 1/4 x))) (* 1/8 (/ (pow (fabs x) 2) s))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (/ (* x (- (* 1/4 (fabs x)) (* 1/4 x))) s))) s)) 1/4) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 (fabs x)) (* 1/4 x))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow (fabs x) 2)) (+ (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))) (* x (- (* 1/4 (fabs x)) (* 1/4 x)))))) (* 1/24 (/ (pow (fabs x) 3) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/4 (fabs x)) (* 1/4 x))) s)) (/ (* x (- (* 1/8 (pow (fabs x) 2)) (+ (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))) (* x (- (* 1/4 (fabs x)) (* 1/4 x)))))) s)))) s))) s)) 1/4) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (/ (fabs x) s) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s)))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole 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))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | 0 | ((/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ (/ 1 (exp (/ x s))) s) (/ 1 (exp (/ x s))) 1 (exp (/ x s)) (/ x s) x s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* x x) 1/8 (* -1/16 (* 3 (* x x))) -1/16 (* 3 (* x x)) 3 (* s s) (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s) (+ (exp (/ (neg x) s)) 1) (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) (pow (+ (exp (/ (neg x) s)) 1) -1) -1) |
| 19.0ms | s | @ | inf | ((/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ (/ 1 (exp (/ x s))) s) (/ 1 (exp (/ x s))) 1 (exp (/ x s)) (/ x s) x s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* x x) 1/8 (* -1/16 (* 3 (* x x))) -1/16 (* 3 (* x x)) 3 (* s s) (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s) (+ (exp (/ (neg x) s)) 1) (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) (pow (+ (exp (/ (neg x) s)) 1) -1) -1) |
| 14.0ms | x | @ | -inf | ((/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ (/ 1 (exp (/ x s))) s) (/ 1 (exp (/ x s))) 1 (exp (/ x s)) (/ x s) x s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* x x) 1/8 (* -1/16 (* 3 (* x x))) -1/16 (* 3 (* x x)) 3 (* s s) (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s) (+ (exp (/ (neg x) s)) 1) (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) (pow (+ (exp (/ (neg x) s)) 1) -1) -1) |
| 11.0ms | x | @ | inf | ((/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ (/ 1 (exp (/ x s))) s) (/ 1 (exp (/ x s))) 1 (exp (/ x s)) (/ x s) x s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* x x) 1/8 (* -1/16 (* 3 (* x x))) -1/16 (* 3 (* x x)) 3 (* s s) (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s) (+ (exp (/ (neg x) s)) 1) (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) (pow (+ (exp (/ (neg x) s)) 1) -1) -1) |
| 10.0ms | s | @ | -inf | ((/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ (/ 1 (exp (/ x s))) s) (/ 1 (exp (/ x s))) 1 (exp (/ x s)) (/ x s) x s (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (+ (exp (neg (/ (fabs x) s))) 1) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* x x) 1/8 (* -1/16 (* 3 (* x x))) -1/16 (* 3 (* x x)) 3 (* s s) (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s) (+ (exp (/ (neg x) s)) 1) (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) (pow (+ (exp (/ (neg x) s)) 1) -1) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1464 | 10479 |
| 0 | 1531 | 9108 |
| 0 | 8644 | 8855 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
#s(literal 1 binary32) |
(exp.f32 (/.f32 x s)) |
(/.f32 x s) |
x |
s |
(pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) |
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
(neg.f32 (/.f32 (fabs.f32 x) s)) |
(/.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s) |
(+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) |
#s(literal 1/4 binary32) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) |
(fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) |
(*.f32 x x) |
#s(literal 1/8 binary32) |
(*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) |
#s(literal -1/16 binary32) |
(*.f32 #s(literal 3 binary32) (*.f32 x x)) |
#s(literal 3 binary32) |
(*.f32 s s) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
(*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) |
(*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) |
(pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (+ (* -1 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (pow s 3))) (/ 1 (pow s 2)))) (/ 1 s)))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (pow s 4))) (* 1/2 (/ 1 (pow s 3))))) (/ 1 (pow s 2)))) (/ 1 s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 1 (exp (neg (/ (fabs x) s)))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (exp (neg (/ (fabs x) s))))) |
#s(approx (neg (/ (fabs x) s)) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (fabs x) s))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 1/4)) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))) |
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) #s(hole binary32 (* -1/16 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (* -1/16 (* 3 (* x x))) #s(hole binary32 (* -3/16 (pow x 2)))) |
#s(approx (* 3 (* x x)) #s(hole binary32 (* 3 (pow x 2)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ 1/2 (* s (+ 1 (exp (neg (/ (fabs x) s)))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (+ (* -1/4 (/ x (* (pow s 2) (+ 1 (exp (neg (/ (fabs x) s))))))) (* 1/2 (/ 1 (* s (+ 1 (exp (neg (/ (fabs x) s)))))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (+ (* x (- (* 1/48 (/ (pow x 2) (* (pow s 4) (+ 1 (exp (neg (/ (fabs x) s))))))) (* 1/4 (/ 1 (* (pow s 2) (+ 1 (exp (neg (/ (fabs x) s))))))))) (* 1/2 (/ 1 (* s (+ 1 (exp (neg (/ (fabs x) s)))))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (+ (* x (- (* (pow x 2) (+ (* -1/480 (/ (pow x 2) (* (pow s 6) (+ 1 (exp (neg (/ (fabs x) s))))))) (* 1/48 (/ 1 (* (pow s 4) (+ 1 (exp (neg (/ (fabs x) s))))))))) (* 1/4 (/ 1 (* (pow s 2) (+ 1 (exp (neg (/ (fabs x) s))))))))) (* 1/2 (/ 1 (* s (+ 1 (exp (neg (/ (fabs x) s)))))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* 2 (* s (+ 1 (exp (neg (/ (fabs x) s)))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (+ (* -1 (* x (+ 1 (exp (neg (/ (fabs x) s)))))) (* 2 (* s (+ 1 (exp (neg (/ (fabs x) s))))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (+ (* 2 (* s (+ 1 (exp (neg (/ (fabs x) s)))))) (* x (+ (* -1 (+ 1 (exp (neg (/ (fabs x) s))))) (* 1/2 (/ (* x (+ 1 (exp (neg (/ (fabs x) s))))) s))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (+ (* 2 (* s (+ 1 (exp (neg (/ (fabs x) s)))))) (* x (+ (* -1 (+ 1 (exp (neg (/ (fabs x) s))))) (* x (+ (* -1/6 (/ (* x (+ 1 (exp (neg (/ (fabs x) s))))) (pow s 2))) (* 1/2 (/ (+ 1 (exp (neg (/ (fabs x) s)))) s))))))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* 2 s))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (+ (* -1 x) (* 2 s)))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (+ (* 2 s) (* x (- (* 1/2 (/ x s)) 1))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (+ (* 2 s) (* x (- (* x (+ (* -1/6 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) 1))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 2)) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* 4 s))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* -4 x) (* 4 s)))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* 3 (/ x s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* x (+ (* -5/3 (/ x (pow s 2))) (* 3 (/ 1 s)))) 4))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 4)) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ x s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s))))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (+ (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)) (* 1/4 (/ (* x (exp (neg (/ (fabs x) s)))) (pow s 2)))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (+ (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)) (* x (- (* -1 (* x (+ (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 3))) (* 3/16 (/ (exp (neg (/ (fabs x) s))) (pow s 3)))))) (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 2)))))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (+ (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)) (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 4))) (+ (* -5/48 (/ (exp (neg (/ (fabs x) s))) (pow s 4))) (* 3/8 (/ (exp (neg (/ (fabs x) s))) (pow s 4))))))) (+ (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 3))) (* 3/16 (/ (exp (neg (/ (fabs x) s))) (pow s 3)))))) (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 2)))))))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) s))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 4)) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (* -4 (/ x s))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s))))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s))))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 2)) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 1/2)) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole 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))))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (/ 1 (* s (exp (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3))))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ (exp (* -1 (/ x s))) (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ x s))))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* s (* (+ 1 (exp (neg (/ (fabs x) s)))) (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* s (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2)))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) 2))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) 2))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3)))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3)))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2)))) |
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -2 (* (pow x 2) (fabs x))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow x 3)) (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s)) (* 1/16 (/ (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))))) s))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (/ (+ 1 (* -1 (/ x s))) s))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)) s))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (/ (- (+ 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)))) s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 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)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 4)) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ (fabs x) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 2)) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 1)) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))) s))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ (- (+ 1/4 (* -1/4 (/ x s))) (* 1/16 (/ (+ (* -2 x) (* -2 (fabs x))) s))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* 1/16 (/ (+ (* -2 x) (* -2 (fabs x))) s)) (+ (* 1/16 (/ (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (pow s 2))) (* 1/4 (/ (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 x) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ x s)) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* 1/16 (/ (+ (* -2 x) (* -2 (fabs x))) s)) (+ (* 1/16 (/ (+ (* -1/2 (* x (pow (fabs x) 2))) (+ (* -1/2 (* (pow x 2) (fabs x))) (+ (* -1/3 (pow x 3)) (* -1/3 (pow (fabs x) 3))))) (pow s 3))) (+ (* 1/16 (/ (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (pow s 2))) (+ (* 1/4 (/ (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 x) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))) (pow s 2))) (+ (* 1/4 (/ (* (+ (* -2 x) (* -2 (fabs x))) (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2)))) (* 1/4 (* (+ (* -2 x) (* -2 (fabs x))) (- (* -1/4 x) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))))))) (pow s 3))) (* 1/4 (/ (* (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (- (* -1/4 x) (* 1/16 (+ (* -2 x) (* -2 (fabs x)))))) (pow s 3))))))))) s))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* 4 s))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* s (+ 4 (+ (* -2 (/ x s)) (* -2 (/ (fabs x) s))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* s (+ 4 (+ (* -2 (/ x s)) (+ (* -2 (/ (fabs x) s)) (+ (/ (* x (fabs x)) (pow s 2)) (+ (/ (pow x 2) (pow s 2)) (/ (pow (fabs x) 2) (pow s 2)))))))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* s (+ 4 (+ (* -2 (/ x s)) (+ (* -2 (/ (fabs x) s)) (+ (* -1/2 (/ (* x (pow (fabs x) 2)) (pow s 3))) (+ (* -1/2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1/3 (/ (pow x 3) (pow s 3))) (+ (* -1/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* x (fabs x)) (pow s 2)) (+ (/ (pow x 2) (pow s 2)) (/ (pow (fabs x) 2) (pow s 2)))))))))))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* s (+ 2 (* -1 (/ x s)))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* s (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (+ (* 1/96 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/24 (pow x 3)) (+ (* -1 (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))))))) (pow s 4))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 4))))))))) s))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (* -4 (/ x s)))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (/ (- (+ 1/4 (* -1/4 (/ (fabs x) s))) (* -1/4 (/ x s))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 2))) (+ (* -1/4 (/ x s)) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/8 (pow (fabs x) 2)) (+ (* -1 (* x (- (* -1/4 (fabs x)) (* -1/4 x)))) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (pow s 3))) (+ (* -1/4 (/ x s)) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 3))))))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (* -1 (/ (fabs x) s))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) s))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole 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)))))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1/16 (/ (+ (* -4 x) (* 4 (fabs x))) s)) 1/4) s)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (* -1 (/ (- (/ x s) 1) s)))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s))) s)) 1) s)))) |
#s(approx (/ (/ 1 (exp (/ x s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) s)) 1) s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 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))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s))))) |
#s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (* -1 (/ (- (* 1/4 (/ x s)) (+ 1/4 (* 1/16 (/ (+ (* 2 x) (* 2 (fabs x))) s)))) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))) (* 1/8 (/ (pow x 2) s))) (+ (* 1/16 (/ (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) s)) (* 1/4 (/ (* (+ (* 2 x) (* 2 (fabs x))) (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))) s)))) s)) 1/4) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2)))) (* 1/4 (* (+ (* 2 x) (* 2 (fabs x))) (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))))))) (* 1/24 (/ (pow x 3) s))) (+ (* 1/16 (/ (+ (* 1/3 (pow x 3)) (+ (* 1/3 (pow (fabs x) 3)) (+ (* 1/2 (* x (pow (fabs x) 2))) (* 1/2 (* (pow x 2) (fabs x)))))) s)) (+ (* 1/4 (/ (* (+ (* 2 x) (* 2 (fabs x))) (- (* 1/8 (pow x 2)) (+ (* 1/16 (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2)))) (* 1/4 (* (+ (* 2 x) (* 2 (fabs x))) (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))))))) s)) (* 1/4 (/ (* (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2))) (- (* 1/4 x) (* 1/16 (+ (* 2 x) (* 2 (fabs x)))))) s))))) s))) s)) 1/4) s)))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* -1 (* s (- (+ (* 2 (/ x s)) (* 2 (/ (fabs x) s))) 4))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* 2 x) (* 2 (fabs x)))) (+ (/ (* x (fabs x)) s) (+ (/ (pow x 2) s) (/ (pow (fabs x) 2) s)))) s)) 4))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* 2 x) (* 2 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* x (fabs x)) (+ (pow x 2) (pow (fabs x) 2)))) (+ (* 1/3 (/ (pow x 3) s)) (+ (* 1/3 (/ (pow (fabs x) 3) s)) (+ (* 1/2 (/ (* x (pow (fabs x) 2)) s)) (* 1/2 (/ (* (pow x 2) (fabs x)) s)))))) s))) s)) 4))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* -1 (* s (- (/ x s) 2))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) 2))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1/2 (pow x 2)) (* 1/6 (/ (pow x 3) s))) s))) s)) 2))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* 1/24 (/ (pow x 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) (pow s 3))) (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) (* 1/96 (/ (pow x 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) s)) (/ (* x (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* 4 (/ x s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (+ (* 2 (/ (pow x 2) s)) (/ (pow x 2) s))) s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* 2/3 (/ (pow x 3) s)) (/ (pow x 3) s))) s))) s)) 4))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (* -1 (/ (- (* 1/4 (/ (fabs x) s)) (+ 1/4 (* 1/4 (/ x s)))) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (fabs x)) (* 1/4 x))) (* 1/8 (/ (pow (fabs x) 2) s))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (/ (* x (- (* 1/4 (fabs x)) (* 1/4 x))) s))) s)) 1/4) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 (fabs x)) (* 1/4 x))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow (fabs x) 2)) (+ (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))) (* x (- (* 1/4 (fabs x)) (* 1/4 x)))))) (* 1/24 (/ (pow (fabs x) 3) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/4 (fabs x)) (* 1/4 x))) s)) (/ (* x (- (* 1/8 (pow (fabs x) 2)) (+ (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))) (* x (- (* 1/4 (fabs x)) (* 1/4 x)))))) s)))) s))) s)) 1/4) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (/ (fabs x) s) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s)))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) #s(hole 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))))) |
| Outputs |
|---|
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s)) (neg.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
#s(literal 1 binary32) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(exp.f32 (/.f32 x s)) |
(/.f32 (neg.f32 x) (neg.f32 s)) |
(/.f32 x s) |
x |
s |
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 1 binary32)) (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32))))) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.f32 (fabs.f32 x) s))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) |
(+.f32 (cosh.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (sinh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) s)) |
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 s)) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg.f32 (/.f32 (fabs.f32 x) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)) |
(/.f32 (fabs.f32 x) s) |
(sqrt.f32 (*.f32 x x)) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 x) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
(/.f32 (neg.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (neg.f32 s)) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s) |
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s)) |
(/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) |
(/.f32 (+.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) #s(literal 3 binary32))) (+.f32 #s(literal 1/16 binary32) (-.f32 (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) (*.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))))) |
(+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) |
#s(literal 1/4 binary32) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))) (neg.f32 (*.f32 s s))) |
(/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) |
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) (*.f32 s s))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (-.f32 (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))))) |
(-.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) |
(fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 (*.f32 x x) #s(literal 1/8 binary32)) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) |
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32))) |
(*.f32 (pow.f32 (fabs.f32 x) #s(literal 1 binary32)) (pow.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 (fabs.f32 x) (fabs.f32 x)) |
(*.f32 x x) |
(pow.f32 (fabs.f32 x) #s(literal 2 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 2 binary32))) |
#s(literal 1/8 binary32) |
(*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))) |
#s(literal -1/16 binary32) |
(*.f32 #s(literal 3 binary32) (*.f32 x x)) |
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(fma.f32 #s(literal 2 binary32) (*.f32 x x) (*.f32 x x)) |
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 x x)) (*.f32 x x)) |
#s(literal 3 binary32) |
(*.f32 (pow.f32 s #s(literal 1 binary32)) (pow.f32 s #s(literal 1 binary32))) |
(*.f32 (neg.f32 s) (neg.f32 s)) |
(*.f32 (fabs.f32 s) (fabs.f32 s)) |
(*.f32 s s) |
(pow.f32 s #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 s) #s(literal 2 binary32))) |
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(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
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(exp.f32 (/.f32 (neg.f32 x) s)) |
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(/.f32 (neg.f32 x) s) |
(neg.f32 (/.f32 x s)) |
(*.f32 #s(literal -1 binary32) x) |
(neg.f32 x) |
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(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
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(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s) |
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(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32))) |
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(/.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (neg.f32 s)) |
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) |
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(*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(pow.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) #s(literal -1 binary32))) |
#s(literal -1 binary32) |
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#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 x (pow.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (fma.f32 x (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 (pow.f32 s #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 s (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))))) |
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#s(approx (/ (/ 1 (exp (/ x s))) s) (/.f32 #s(literal 1 binary32) s)) |
#s(approx (/ (/ 1 (exp (/ x s))) s) (fma.f32 #s(literal -1 binary32) (/.f32 x (*.f32 s s)) (/.f32 #s(literal 1 binary32) s))) |
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#s(approx (/ 1 (exp (/ x s))) #s(literal 1 binary32)) |
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#s(approx (exp (/ x s)) #s(literal 1 binary32)) |
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))) |
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#s(approx (/ x s) (/.f32 x s)) |
#s(approx x x) |
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#s(approx (+ (exp (neg (/ (fabs x) s))) 1) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) |
#s(approx (exp (neg (/ (fabs x) s))) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
#s(approx (neg (/ (fabs x) s)) (/.f32 (fabs.f32 x) (neg.f32 s))) |
#s(approx (/ (fabs x) s) (/.f32 (fabs.f32 x) s)) |
#s(approx (fabs x) (fabs.f32 x)) |
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#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (/.f32 #s(literal 1/4 binary32) s)) |
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#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(literal 1/4 binary32)) |
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#s(approx (* x x) (*.f32 x x)) |
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#s(approx (* 3 (* x x)) (*.f32 #s(literal 3 binary32) (*.f32 x x))) |
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#s(approx (/ 1 (exp (/ x s))) #s(literal 1 binary32)) |
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#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s)) |
#s(approx (neg x) (neg.f32 x)) |
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#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) (neg.f32 (*.f32 s (-.f32 (*.f32 #s(literal 2 binary32) (+.f32 (/.f32 x s) (/.f32 (fabs.f32 x) s))) #s(literal 4 binary32))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) (neg.f32 (*.f32 s (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 2 binary32) (+.f32 x (fabs.f32 x))) (/.f32 (fma.f32 x (fabs.f32 x) (*.f32 #s(literal 2 binary32) (*.f32 x x))) s)) s)) #s(literal 4 binary32))))) |
#s(approx (* (+ (exp (neg (/ (fabs x) s))) 1) (* (+ (exp (/ (neg x) s)) 1) s)) (neg.f32 (*.f32 s (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal 2 binary32) (+.f32 x (fabs.f32 x)) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 x (fabs.f32 x) (*.f32 #s(literal 2 binary32) (*.f32 x x))) (fma.f32 #s(literal 1/3 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (fma.f32 #s(literal 1/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s)))))) s))) s)) #s(literal 4 binary32))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) (neg.f32 (*.f32 s (-.f32 (/.f32 x s) #s(literal 2 binary32))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) (neg.f32 (*.f32 s (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) x (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 2 binary32))))) |
#s(approx (* (+ (exp (/ (neg x) s)) 1) s) (neg.f32 (*.f32 s (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 x (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s))) s))) s)) #s(literal 2 binary32))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (-.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s)))) |
#s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) #s(literal 1/4 binary32)) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (*.f32 #s(literal 1/24 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 s #s(literal 3 binary32))) (/.f32 (*.f32 x (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))) (pow.f32 s #s(literal 3 binary32)))))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 5/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 x (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))))) (*.f32 #s(literal 1/96 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 7/12 binary32))) s) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x))))) s) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/24 binary32) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 5/3 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 x (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))))))) s)))) (pow.f32 s #s(literal 3 binary32))))) #s(literal 1/4 binary32)) s))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (neg.f32 (*.f32 s (-.f32 (*.f32 #s(literal 4 binary32) (/.f32 x s)) #s(literal 4 binary32))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (neg.f32 (*.f32 s (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (neg.f32 (*.f32 s (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)) (*.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s))) s))) s)) #s(literal 4 binary32))))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) (+.f32 #s(literal 4 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s)) (*.f32 #s(literal 4 binary32) x)) s)))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) (+.f32 #s(literal 4 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 x #s(literal 3 binary32))) s) (*.f32 #s(literal 3 binary32) (*.f32 x x))) s) (*.f32 #s(literal 4 binary32) x)) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (-.f32 (neg.f32 (*.f32 #s(literal 1/4 binary32) (-.f32 (fabs.f32 x) x))) (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 x x) s))) (fma.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s)) (/.f32 (*.f32 x (*.f32 #s(literal 1/4 binary32) (-.f32 (fabs.f32 x) x))) s))) s)) #s(literal 1/4 binary32)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (-.f32 (fabs.f32 x) x) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)) (*.f32 x (*.f32 #s(literal 1/4 binary32) (-.f32 (fabs.f32 x) x))))) (*.f32 #s(literal 1/24 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 x #s(literal 3 binary32))) s) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 x x)) (*.f32 #s(literal 1/4 binary32) (-.f32 (fabs.f32 x) x))) s) (/.f32 (*.f32 x (-.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)) (*.f32 x (*.f32 #s(literal 1/4 binary32) (-.f32 (fabs.f32 x) x)))))) s)))) s))) s)) #s(literal 1/4 binary32)) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) (neg.f32 (/.f32 (-.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32)) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 1 binary32)) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s))) s))) s)) #s(literal 1 binary32)) s))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) (+.f32 #s(literal 4 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s)) (*.f32 #s(literal 4 binary32) x)) s)))) |
#s(approx (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2) (+.f32 #s(literal 4 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 #s(literal 5/3 binary32) (pow.f32 x #s(literal 3 binary32))) s) (*.f32 #s(literal 3 binary32) (*.f32 x x))) s) (*.f32 #s(literal 4 binary32) x)) s)))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (-.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) s))) s)))) |
#s(approx (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 x (neg.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s))) s)))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) (*.f32 #s(literal -1/4 binary32) x)) s)))) |
Compiled 19 615 to 2 334 computations (88.1% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 483 | 15 | 498 |
| Fresh | 3 | 8 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 489 | 26 | 515 |
| Status | Accuracy | Program |
|---|---|---|
| 94.8% | (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))) | |
| 99.7% | (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) | |
| 99.8% | (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) | |
| 99.7% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #s(literal 2 binary32))) | |
| 56.6% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))) #s(literal 2 binary32))) | |
| 95.6% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))) | |
| ▶ | 99.8% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
| 25.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) | |
| 97.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s)))) | |
| ▶ | 94.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
| ✓ | 99.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
| ▶ | 96.6% | (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
| ✓ | 95.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
| 97.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) | |
| 99.7% | (/.f32 #s(approx (/ (/ 1 (exp (/ x s))) s) (/.f32 #s(literal 1 binary32) (*.f32 s (exp.f32 (/.f32 x s))))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) | |
| ▶ | 99.7% | #s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))))) |
| 66.4% | #s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) | |
| 55.2% | #s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (*.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (/.f32 (*.f32 x (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (*.f32 s s))))) | |
| 66.4% | #s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) | |
| 17.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) s)) | |
| 24.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/16 binary32))) s)) | |
| ▶ | 18.8% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
| 18.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) | |
| ✓ | 26.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
| 18.1% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) | |
| 10.5% | #s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)))) |
Compiled 1 789 to 1 079 computations (39.7% saved)
| Inputs |
|---|
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) |
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
(neg.f32 (/.f32 (fabs.f32 x) s)) |
(/.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
x |
s |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s) |
(+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) |
#s(literal 1/4 binary32) |
(/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) |
#s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) |
(*.f32 #s(literal -1/16 binary32) (*.f32 x x)) |
#s(literal -1/16 binary32) |
(*.f32 x x) |
(*.f32 s s) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) |
(/.f32 (neg.f32 #s(approx (fabs x) x)) s) |
(neg.f32 #s(approx (fabs x) x)) |
#s(approx (fabs x) x) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)) |
(*.f32 #s(literal 4 binary32) s) |
#s(literal 4 binary32) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s) |
(pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) |
#s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) |
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))) |
#s(literal 1 binary32) |
(*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))) |
(*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
(exp.f32 (/.f32 x s)) |
(/.f32 x s) |
(pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg.f32 s) |
| Outputs |
|---|
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (+ (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)) (* 1/4 (/ (* x (exp (neg (/ (fabs x) s)))) (pow s 2)))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (+ (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)) (* x (- (* -1 (* x (+ (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 3))) (* 3/16 (/ (exp (neg (/ (fabs x) s))) (pow s 3)))))) (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 2)))))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (+ (* 1/4 (/ (exp (neg (/ (fabs x) s))) s)) (* x (- (* x (- (* -1 (* x (+ (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 4))) (+ (* -5/48 (/ (exp (neg (/ (fabs x) s))) (pow s 4))) (* 3/8 (/ (exp (neg (/ (fabs x) s))) (pow s 4))))))) (+ (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 3))) (* 3/16 (/ (exp (neg (/ (fabs x) s))) (pow s 3)))))) (* -1/4 (/ (exp (neg (/ (fabs x) s))) (pow s 2)))))))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) s))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (exp (neg (/ (fabs x) s))))) |
#s(approx (neg (/ (fabs x) s)) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (/ (fabs x) s) #s(hole binary32 (/ (fabs x) s))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 4)) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (* -4 (/ x s))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s))))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (* 2 (log 2)))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* -1 (/ x s)) (* 2 (log 2))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* 2 (log 2)) (* x (- (* 1/4 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* 2 (log 2)) (* x (- (* x (+ (* -1/96 (/ (pow x 2) (pow s 4))) (* 1/4 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 1/4)) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))))) |
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) #s(hole binary32 (* -1/16 (pow x 2)))) |
#s(approx (* -1/16 (* x x)) #s(hole binary32 (* -1/16 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (exp (* -1 (/ (fabs x) s))))) |
#s(approx (/ (neg (fabs x)) s) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (neg (fabs x)) #s(hole binary32 (* -1 (fabs x)))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/11520 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* 4 s))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* -4 x) (* 4 s)))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* 3 (/ x s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* x (+ (* -5/3 (/ x (pow s 2))) (* 3 (/ 1 s)))) 4))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 4)) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ x s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 2)) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 2)) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (+ (* 1/2 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (+ (* x (+ (* 1/6 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (pow s 2))) (* 1/2 (/ (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) s)))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) s) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (pow s 2))) (/ (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ (* x (+ (* x (+ (* 1/6 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (pow s 3))) (* 1/2 (/ (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) (pow s 2))))) (/ (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s)))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (exp (* -1 (/ (fabs x) s))))) |
#s(approx (/ (fabs x) (neg s)) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) 2))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (* 2 (log (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3))))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2)))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) 2))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* s (* (exp (/ x s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (* (exp (/ x s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3)))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3)))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2)))) |
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (* 4 s) #s(hole binary32 (* 4 s))) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (neg s) #s(hole binary32 (* -1 s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (/ (- (+ 1/4 (* -1/4 (/ (fabs x) s))) (* -1/4 (/ x s))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 2))) (+ (* -1/4 (/ x s)) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/8 (pow (fabs x) 2)) (+ (* -1 (* x (- (* -1/4 (fabs x)) (* -1/4 x)))) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (pow s 3))) (+ (* -1/4 (/ x s)) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 3))))))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (* -1 (/ (fabs x) s))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) s))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 1)) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))) s))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 4 s))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s)))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (+ (* 1/96 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/24 (pow x 3)) (+ (* -1 (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))))))) (pow s 4))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 4))))))))) s))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (* -4 (/ x s)))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -2 (* (pow x 2) (fabs x))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow x 3)) (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s)) (* 1/16 (/ (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))))) s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -2 (* (pow x 2) (fabs x))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow x 3)) (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s)) (* 1/16 (/ (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))))) s))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* 4 s))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ x s))))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (/ (pow (fabs x) 2) (pow s 2))))))))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* -2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (+ (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))))))))))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 4)) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ x s)))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (/ (pow (fabs x) 2) (pow s 2)))))))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* -2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (+ (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2))))))))))))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 4)) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (+ 4 (* -4 (/ (fabs x) s))))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 1)) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (* -1 (/ (- (* 1/4 (/ (fabs x) s)) (+ 1/4 (* 1/4 (/ x s)))) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (fabs x)) (* 1/4 x))) (* 1/8 (/ (pow (fabs x) 2) s))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (/ (* x (- (* 1/4 (fabs x)) (* 1/4 x))) s))) s)) 1/4) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 (fabs x)) (* 1/4 x))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow (fabs x) 2)) (+ (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))) (* x (- (* 1/4 (fabs x)) (* 1/4 x)))))) (* 1/24 (/ (pow (fabs x) 3) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/4 (fabs x)) (* 1/4 x))) s)) (/ (* x (- (* 1/8 (pow (fabs x) 2)) (+ (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))) (* x (- (* 1/4 (fabs x)) (* 1/4 x)))))) s)))) s))) s)) 1/4) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (/ (fabs x) s) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s)))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)) (* 2 (log 2))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) s))) s)) (* 2 (log 2))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)))) |
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#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s)))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* 1/24 (/ (pow x 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) (pow s 3))) (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) (* 1/96 (/ (pow x 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) s)) (/ (* x (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* 4 (/ x s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (+ (* 2 (/ (pow x 2) s)) (/ (pow x 2) s))) s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* 2/3 (/ (pow x 3) s)) (/ (pow x 3) s))) s))) s)) 4))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1/16 (/ (+ (* -4 x) (* 4 (fabs x))) s)) 1/4) s)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (* -1 (/ (- (* -1/16 (/ (+ (* -4 x) (* 4 (fabs x))) s)) 1/4) s)))) |
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#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* -1 (* s (- (+ (* -4 (/ x s)) (* 4 (/ (fabs x) s))) 4))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (/ (* x (fabs x)) s)) (+ (* -1 (+ (* -4 x) (* 4 (fabs x)))) (+ (* 2 (/ (pow x 2) s)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))))) s)) 4))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* -4 x) (* 4 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (+ (* -1 (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (+ (* -2/3 (/ (pow x 3) s)) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (+ (* 2 (/ (* (pow x 2) (fabs x)) s)) (/ (pow (fabs x) 3) s)))))) s))) s)) 4))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -4 x) (* 4 (fabs x))) s))))) |
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#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -4 x) (+ (* -1 (/ (+ (* -4 (* x (fabs x))) (+ (* -1 (/ (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3))))) s)) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 4 (fabs x)))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s))))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s))))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | x | @ | inf | ((/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (exp (neg (/ (fabs x) s))) s) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) x s (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (* (log (+ 1 (exp (/ (neg x) s)))) 2) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* -1/16 (* x x)) -1/16 (* x x) (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (+ 2 (/ (neg x) s)) (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (exp (/ x s)) (/ x s) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) (+ 1 (exp (/ (fabs x) (neg s)))) (exp (/ (fabs x) (neg s))) (/ (fabs x) (neg s)) (neg s)) |
| 49.0ms | x | @ | -inf | ((/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (exp (neg (/ (fabs x) s))) s) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) x s (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (* (log (+ 1 (exp (/ (neg x) s)))) 2) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* -1/16 (* x x)) -1/16 (* x x) (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (+ 2 (/ (neg x) s)) (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (exp (/ x s)) (/ x s) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) (+ 1 (exp (/ (fabs x) (neg s)))) (exp (/ (fabs x) (neg s))) (/ (fabs x) (neg s)) (neg s)) |
| 30.0ms | s | @ | 0 | ((/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (exp (neg (/ (fabs x) s))) s) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) x s (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (* (log (+ 1 (exp (/ (neg x) s)))) 2) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* -1/16 (* x x)) -1/16 (* x x) (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (+ 2 (/ (neg x) s)) (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (exp (/ x s)) (/ x s) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) (+ 1 (exp (/ (fabs x) (neg s)))) (exp (/ (fabs x) (neg s))) (/ (fabs x) (neg s)) (neg s)) |
| 7.0ms | x | @ | 0 | ((/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (exp (neg (/ (fabs x) s))) s) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) x s (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (* (log (+ 1 (exp (/ (neg x) s)))) 2) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* -1/16 (* x x)) -1/16 (* x x) (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (+ 2 (/ (neg x) s)) (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (exp (/ x s)) (/ x s) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) (+ 1 (exp (/ (fabs x) (neg s)))) (exp (/ (fabs x) (neg s))) (/ (fabs x) (neg s)) (neg s)) |
| 6.0ms | s | @ | -inf | ((/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/ (exp (neg (/ (fabs x) s))) s) (exp (neg (/ (fabs x) s))) (neg (/ (fabs x) s)) (/ (fabs x) s) (fabs x) x s (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) (* (log (+ 1 (exp (/ (neg x) s)))) 2) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) 2 (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* -1/16 (* x x)) -1/16 (* x x) (* s s) (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (exp (/ (neg (fabs x)) s)) (/ (neg (fabs x)) s) (neg (fabs x)) (fabs x) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (* 4 s) 4 (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (pow (+ (exp (/ (neg x) s)) 1) 2) (+ (exp (/ (neg x) s)) 1) (+ 2 (/ (neg x) s)) (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (exp (/ x s)) (/ x s) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) (+ 1 (exp (/ (fabs x) (neg s)))) (exp (/ (fabs x) (neg s))) (/ (fabs x) (neg s)) (neg s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1369 | 11076 |
| 0 | 1427 | 9302 |
| 0 | 8880 | 8931 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) |
(exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
(neg.f32 (/.f32 (fabs.f32 x) s)) |
(/.f32 (fabs.f32 x) s) |
(fabs.f32 x) |
x |
s |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
#s(literal 2 binary32) |
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(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s) |
(+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) |
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#s(literal -1/16 binary32) |
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(exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) |
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(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
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#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* 4 s))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* -4 x) (* 4 s)))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* 3 (/ x s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (+ (* 4 s) (* x (- (* x (+ (* -5/3 (/ x (pow s 2))) (* 3 (/ 1 s)))) 4))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 4)) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -4 (/ x s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* 3 (/ x (pow s 2))) (* 4 (/ 1 s))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* x (- (* x (+ (* -5/3 (/ x (pow s 3))) (* 3 (/ 1 (pow s 2))))) (* 4 (/ 1 s))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 2)) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 2)) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (+ (* -1 (/ x (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (+ (* x (- (* 1/2 (/ x (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (+ (* x (- (* x (+ (* -1/6 (/ x (* (pow s 4) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) (* 1/2 (/ 1 (* (pow s 3) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) (/ 1 (* (pow s 2) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) (/ 1 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (+ (* 1/2 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (+ (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (* x (+ (* x (+ (* 1/6 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (pow s 2))) (* 1/2 (/ (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) s)))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) s) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (pow s 2))) (/ (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ (* x (+ (* x (+ (* 1/6 (/ (* x (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) (pow s 3))) (* 1/2 (/ (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) (pow s 2))))) (/ (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2) s))) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 1 (exp (* -1 (/ (fabs x) s)))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (exp (* -1 (/ (fabs x) s))))) |
#s(approx (/ (fabs x) (neg s)) #s(hole binary32 (* -1 (/ (fabs x) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (/ (exp (neg (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) 2))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (* 2 (log (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 3))))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* -1/16 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (exp (* -1 (/ x s))) (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (pow (+ 1 (exp (* -1 (/ x s)))) 2)))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) 2))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (neg (/ (fabs x) s)))) 2)))))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* s (* (exp (/ x s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (* (exp (/ x s)) (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 3)))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 3)))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (+ (* 1/8 (pow x 2)) (* 1/4 (pow s 2)))) (pow s 2)))) |
#s(approx (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s)) #s(hole binary32 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (* 4 s) #s(hole binary32 (* 4 s))) |
#s(approx (+ 2 (/ (neg x) s)) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (neg s) #s(hole binary32 (* -1 s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (/ (- (+ 1/4 (* -1/4 (/ (fabs x) s))) (* -1/4 (/ x s))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 2))) (+ (* -1/4 (/ x s)) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/8 (pow (fabs x) 2)) (+ (* -1 (* x (- (* -1/4 (fabs x)) (* -1/4 x)))) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (pow s 3))) (+ (* -1/4 (/ x s)) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* -1/4 (fabs x)) (* -1/4 x))) (pow s 3))))))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (* -1 (/ (fabs x) s))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) s))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (/ (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) s))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 1)) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* -1 (/ x s)) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (+ (* 1/3 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (* 2 (log 2)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/96 (/ (pow (fabs x) 4) (pow s 4))) (* 1/8 (/ (pow (fabs x) 2) (pow s 2)))))) (+ (* -1 (/ (* (fabs x) (- (* -1/24 (pow (fabs x) 3)) (+ (* -1 (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))))))) (pow s 4))) (+ (* -1 (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow (fabs x) 3)) (* -2/3 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 4))))))))) s))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (/ (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))) s))) |
#s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) #s(hole binary32 (+ 1/4 (+ (* -3/16 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* 4 s))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (* -4 (/ (fabs x) s)))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (* 1/8 (/ (pow x 2) (pow s 2)))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2)))))) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (/ (- (+ 1/4 (+ (* -1/24 (/ (pow x 3) (pow s 3))) (+ (* 1/96 (/ (pow x 4) (pow s 4))) (* 1/8 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/24 (pow x 3)) (+ (* -1 (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))) (* 1/16 (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))))))) (pow s 4))) (+ (* -1 (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))) (+ (* 1/16 (/ (+ (* -1 (pow x 3)) (* -2/3 (pow x 3))) (pow s 3))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 4))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) (pow s 2))) (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 4))))))))) s))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (* -4 (/ x s)))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2)))))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ x s)) (+ (* -1 (/ (pow x 3) (pow s 3))) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (/ (pow x 2) (pow s 2))))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -2 (* (pow x 2) (fabs x))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow x 3)) (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s)) (* 1/16 (/ (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))))) s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ (+ 1/4 (* -1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (pow s 2)))) (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s))) s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -1/64 (pow (+ (* -4 (fabs x)) (* 4 x)) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 (fabs x)) (* 4 x)) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -2 (* (pow x 2) (fabs x))) (+ (* -1 (pow (fabs x) 3)) (+ (* -2/3 (pow (fabs x) 3)) (+ (* 2/3 (pow x 3)) (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -4 (fabs x)) (* 4 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -4 (fabs x)) (* 4 x)) s)) (* 1/16 (/ (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2)))))) s))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* 4 s))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ x s))))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (/ (pow (fabs x) 2) (pow s 2))))))))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* -2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (+ (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))))))))))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 4)) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (* 4 (/ x s)))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (/ (pow (fabs x) 2) (pow s 2)))))))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -4 (/ (* x (fabs x)) (pow s 2))) (+ (* -2 (/ (* (pow x 2) (fabs x)) (pow s 3))) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2/3 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 4 (/ x s)) (+ (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2))))))))))))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 4)) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (+ 4 (* -4 (/ (fabs x) s))))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* -1 (/ (pow (fabs x) 3) (pow s 3))) (+ (* -2/3 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 2 (* -1 (/ (fabs x) s))))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 1)) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (+ 1 (* -1 (/ (fabs x) s))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (* -1 (/ (- (* 1/4 (/ (fabs x) s)) (+ 1/4 (* 1/4 (/ x s)))) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (fabs x)) (* 1/4 x))) (* 1/8 (/ (pow (fabs x) 2) s))) (+ (* 1/16 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (/ (* x (- (* 1/4 (fabs x)) (* 1/4 x))) s))) s)) 1/4) s)))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (- (* 1/4 (fabs x)) (* 1/4 x))) (* -1 (/ (- (+ (* -1 (- (* 1/8 (pow (fabs x) 2)) (+ (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))) (* x (- (* 1/4 (fabs x)) (* 1/4 x)))))) (* 1/24 (/ (pow (fabs x) 3) s))) (+ (* 1/16 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/4 (fabs x)) (* 1/4 x))) s)) (/ (* x (- (* 1/8 (pow (fabs x) 2)) (+ (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))) (* x (- (* 1/4 (fabs x)) (* 1/4 x)))))) s)))) s))) s)) 1/4) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (/ (fabs x) s) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 1) s)))) |
#s(approx (/ (exp (neg (/ (fabs x) s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 1) s)))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (neg (/ (fabs x) s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2)) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s)) (* 2 (log 2))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) 2) #s(hole binary32 (+ (* -1 (/ (+ x (* -1 (/ (+ (* -1/3 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) s))) s)) (* 2 (log 2))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* 1/24 (/ (pow (fabs x) 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) (pow s 3))) (/ (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (* 1/96 (/ (pow (fabs x) 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow (fabs x) 4)) (+ (* 1/4 (pow (fabs x) 4)) (* 1/3 (pow (fabs x) 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (/ (* (fabs x) (- (* 1/24 (pow (fabs x) 3)) (+ (* 1/16 (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3))) (* (fabs x) (- (* 1/8 (pow (fabs x) 2)) (* 1/16 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (/ (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) s) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -3/16 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2))) 1/4) s)))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (/ (neg (fabs x)) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* 4 (/ (fabs x) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))))) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (* -1 (/ (+ (* -1 (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (/ (pow (fabs x) 3) s))) s))) s)) 4))))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) 1/4) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* 1/24 (/ (pow x 3) (pow s 3)))) (+ 1/4 (+ (* 1/16 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) (pow s 3))) (/ (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) (pow s 3))))) s)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) #s(hole binary32 (* -1 (/ (- (+ (* -1 (/ (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))) (pow s 2))) (* -1 (/ (- (+ (* -1 (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) (* 1/96 (/ (pow x 4) s))) (+ (* 1/16 (/ (+ (* 1/6 (pow x 4)) (+ (* 1/4 (pow x 4)) (* 1/3 (pow x 4)))) s)) (+ (* 1/4 (/ (* (+ (* 2 (pow x 2)) (pow x 2)) (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2))))) s)) (/ (* x (- (* 1/24 (pow x 3)) (+ (* 1/16 (+ (* 2/3 (pow x 3)) (pow x 3))) (* x (- (* 1/8 (pow x 2)) (* 1/16 (+ (* 2 (pow x 2)) (pow x 2)))))))) s)))) (pow s 3)))) 1/4) s)))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* 4 (/ x s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (+ (* 2 (/ (pow x 2) s)) (/ (pow x 2) s))) s)) 4))))) |
#s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 x) (* -1 (/ (+ (* -1 (+ (* 2 (pow x 2)) (pow x 2))) (+ (* 2/3 (/ (pow x 3) s)) (/ (pow x 3) s))) s))) s)) 4))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow x 2)) (pow x 2)) s)) (* 4 x)) s))))) |
#s(approx (pow (+ (exp (/ (neg x) s)) 1) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow x 3)) (pow x 3)) s)) (+ (* 2 (pow x 2)) (pow x 2))) s)) (* 4 x)) s))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (exp (/ (neg x) s)) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1/16 (/ (+ (* -4 x) (* 4 (fabs x))) s)) 1/4) s)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (* -1 (/ (- (* -1/16 (/ (+ (* -4 x) (* 4 (fabs x))) s)) 1/4) s)))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))))) (+ (* -1/64 (* (+ (* -4 x) (* 4 (fabs x))) (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))))) (* 1/16 (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3)))))))) s)) (+ (* -1/64 (pow (+ (* -4 x) (* 4 (fabs x))) 2)) (* 1/16 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))))) s)) (* 1/16 (+ (* -4 x) (* 4 (fabs x))))) s)) 1/4) s)))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* -1 (* s (- (+ (* -4 (/ x s)) (* 4 (/ (fabs x) s))) 4))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -4 (/ (* x (fabs x)) s)) (+ (* -1 (+ (* -4 x) (* 4 (fabs x)))) (+ (* 2 (/ (pow x 2) s)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))))) s)) 4))))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ (* -1 (+ (* -4 x) (* 4 (fabs x)))) (* -1 (/ (+ (* -1 (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) (+ (* -1 (/ (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (+ (* -2/3 (/ (pow x 3) s)) (+ (* 2/3 (/ (pow (fabs x) 3) s)) (+ (* 2 (/ (* (pow x 2) (fabs x)) s)) (/ (pow (fabs x) 3) s)))))) s))) s)) 4))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -4 x) (* 4 (fabs x))) s))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -4 x) (+ (* -1 (/ (+ (* -4 (* x (fabs x))) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) s)) (* 4 (fabs x)))) s))))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -4 x) (+ (* -1 (/ (+ (* -4 (* x (fabs x))) (+ (* -1 (/ (+ (* -1 (* x (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)))) (+ (* -2/3 (pow x 3)) (+ (* 2/3 (pow (fabs x) 3)) (+ (* 2 (* (pow x 2) (fabs x))) (pow (fabs x) 3))))) s)) (+ (* 2 (pow x 2)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))))) s)) (* 4 (fabs x)))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2)) s)) (* 4 (fabs x))) s))))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(hole binary32 (+ 4 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 2/3 (pow (fabs x) 3)) (pow (fabs x) 3)) s)) (+ (* 2 (pow (fabs x) 2)) (pow (fabs x) 2))) s)) (* 4 (fabs x))) s))))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) #s(hole binary32 (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))))) |
#s(approx (exp (/ (fabs x) (neg s))) #s(hole binary32 (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))))) |
| Outputs |
|---|
(/.f32 (neg.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s)) (neg.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (neg.f32 (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (neg.f32 s)) |
(/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.f32 (fabs.f32 x) s))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) |
(+.f32 (cosh.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (sinh.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(*.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) s)) |
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 s)) |
(/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg.f32 (/.f32 (fabs.f32 x) s)) |
(/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 s)) |
(/.f32 (fabs.f32 x) s) |
(sqrt.f32 (*.f32 x x)) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 x) |
x |
s |
(*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 2 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(+.f32 (cosh.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) |
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(*.f32 #s(literal -1 binary32) (/.f32 x s)) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 (/.f32 x s)) |
(*.f32 #s(literal -1 binary32) x) |
(neg.f32 x) |
#s(literal 2 binary32) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s)) |
(/.f32 (neg.f32 (+.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32))) (neg.f32 s)) |
(/.f32 (+.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) s) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s)) |
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s)) |
(/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)))) |
(/.f32 (+.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 3 binary32))) (+.f32 #s(literal 1/16 binary32) (-.f32 (*.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)))))) |
(+.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) #s(literal 1/4 binary32)) |
(+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) |
#s(literal 1/4 binary32) |
(/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) s) s) |
(/.f32 (neg.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x)))) (neg.f32 (*.f32 s s))) |
(/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) |
#s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) |
(*.f32 (*.f32 #s(literal -1/16 binary32) x) x) |
(*.f32 #s(literal -1/16 binary32) (*.f32 x x)) |
#s(literal -1/16 binary32) |
(*.f32 (pow.f32 x #s(literal 1 binary32)) (pow.f32 x #s(literal 1 binary32))) |
(*.f32 (pow.f32 (fabs.f32 x) #s(literal 1 binary32)) (pow.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 (fabs.f32 x) (fabs.f32 x)) |
(*.f32 x x) |
(pow.f32 (fabs.f32 x) #s(literal 2 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 s #s(literal 1 binary32)) (pow.f32 s #s(literal 1 binary32))) |
(*.f32 (fabs.f32 s) (fabs.f32 s)) |
(*.f32 (neg.f32 s) (neg.f32 s)) |
(*.f32 s s) |
(pow.f32 s #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 s) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (exp.f32 (neg.f32 (/.f32 #s(approx (fabs x) x) s)))) (neg.f32 #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)))) |
(/.f32 (exp.f32 (neg.f32 (/.f32 #s(approx (fabs x) x) s))) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(+.f32 (cosh.f32 (neg.f32 (/.f32 #s(approx (fabs x) x) s))) (sinh.f32 (neg.f32 (/.f32 #s(approx (fabs x) x) s)))) |
(exp.f32 (neg.f32 (/.f32 #s(approx (fabs x) x) s))) |
(/.f32 (neg.f32 (neg.f32 #s(approx (fabs x) x))) (neg.f32 s)) |
(/.f32 (neg.f32 #s(approx (fabs x) x)) s) |
(neg.f32 (/.f32 #s(approx (fabs x) x) s)) |
(neg.f32 #s(approx (fabs x) x)) |
#s(approx (fabs x) x) |
#s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s)) |
(*.f32 #s(literal 4 binary32) s) |
#s(literal 4 binary32) |
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32))) s) |
(/.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) (neg.f32 (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) s)) |
(*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) s) |
(*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(*.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) #s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
(pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) #s(literal 2 binary32))) |
#s(approx (+ (exp (/ (neg x) s)) 1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) |
(/.f32 (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (/.f32 (neg.f32 x) s) (/.f32 (neg.f32 x) s)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))) |
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s))) |
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) |
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 s (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(pow.f32 (*.f32 (*.f32 s (exp.f32 (/.f32 x s))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1 binary32)) |
#s(literal 1 binary32) |
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(*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))) |
(*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(exp.f32 (/.f32 x s)) |
(/.f32 (neg.f32 x) (neg.f32 s)) |
(/.f32 x s) |
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(pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))) |
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(/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (fabs.f32 x)) s) |
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(neg.f32 s) |
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#s(approx (/ x s) (/.f32 x s)) |
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#s(approx s s) |
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#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x)))) (fma.f32 #s(literal -1/64 binary32) (pow.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal 2 binary32)) (*.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x)))))) (fma.f32 (*.f32 #s(literal -1/64 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x)))) (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (*.f32 #s(literal 1/16 binary32) (fma.f32 (neg.f32 x) (*.f32 #s(literal 3 binary32) (*.f32 x x)) (fma.f32 #s(literal -2/3 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 2/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))))))))) s) (fma.f32 #s(literal -1/64 binary32) (pow.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal 2 binary32)) (*.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))))) s))) s)) #s(literal 1/4 binary32)) s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) s)) #s(literal 1/4 binary32)) s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (neg.f32 (/.f32 (fma.f32 #s(literal -1/64 binary32) (pow.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal 2 binary32)) (*.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x)))))) s))) s)) #s(literal 1/4 binary32)) s))) |
#s(approx (/ 1 (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x)))) (fma.f32 #s(literal -1/64 binary32) (pow.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal 2 binary32)) (*.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x)))))) (fma.f32 (*.f32 #s(literal -1/64 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x)))) (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (*.f32 #s(literal 1/16 binary32) (fma.f32 (neg.f32 x) (*.f32 #s(literal 3 binary32) (*.f32 x x)) (fma.f32 #s(literal -2/3 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 2/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))))))))) s) (fma.f32 #s(literal -1/64 binary32) (pow.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) #s(literal 2 binary32)) (*.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))))) s))) s)) #s(literal 1/4 binary32)) s))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32)))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))) |
#s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x)))) (fma.f32 #s(literal -1 binary32) (*.f32 x (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) (fma.f32 #s(literal -2/3 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (fma.f32 #s(literal 2/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (fma.f32 #s(literal 2 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s)))))) s) (neg.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))))) s)) #s(literal 4 binary32)))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) s) #s(literal 4 binary32))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32))) |
#s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -4 binary32) x) (fabs.f32 x) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (neg.f32 x) (*.f32 #s(literal 3 binary32) (*.f32 x x)) (fma.f32 #s(literal -2/3 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(literal 2/3 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))))) s) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s)))) s) #s(literal 4 binary32))) |
#s(approx (exp (/ x s)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (neg.f32 x)) s) #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 x #s(literal 3 binary32)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) (neg.f32 x)) s) #s(literal 1 binary32))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (neg.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s)))) s) #s(literal 4 binary32))) |
#s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) x) x (neg.f32 (*.f32 #s(literal 5/3 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s)))) s))) s) #s(literal 4 binary32))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (fabs x) (neg s)))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) (fabs.f32 x)) s) #s(literal 2 binary32))) |
#s(approx (exp (/ (fabs x) (neg s))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) (fabs.f32 x)) s) #s(literal 1 binary32))) |
#s(approx (exp (/ (fabs x) (neg s))) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) s) (*.f32 #s(literal 1/2 binary32) (*.f32 x x))) s) (fabs.f32 x)) s) #s(literal 1 binary32))) |
Compiled 18 761 to 2 094 computations (88.8% saved)
29 alts after pruning (24 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 413 | 14 | 427 |
| Fresh | 8 | 10 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 424 | 29 | 453 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) | |
| 99.8% | (/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) | |
| 99.7% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #s(literal 2 binary32))) | |
| 56.6% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))) #s(literal 2 binary32))) | |
| 95.6% | (/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))) | |
| ✓ | 94.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
| ✓ | 99.7% | (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
| ✓ | 95.1% | (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
| 97.4% | (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) | |
| 99.7% | (/.f32 #s(approx (/ (/ 1 (exp (/ x s))) s) (/.f32 #s(literal 1 binary32) (*.f32 s (exp.f32 (/.f32 x s))))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) | |
| 50.4% | (/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) | |
| 99.4% | #s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) | |
| ✓ | 99.7% | #s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))))) |
| 99.8% | #s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))))) | |
| 94.8% | #s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) | |
| 49.2% | #s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) | |
| 18.2% | #s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 x (fabs.f32 x)) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 x s) (/.f32 (*.f32 x x) (*.f32 s s))))))) #s(literal 4 binary32)))))) | |
| 26.3% | #s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) | |
| 29.0% | #s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 s x))))) | |
| 36.2% | #s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) | |
| 55.2% | #s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (*.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (/.f32 (*.f32 x (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (*.f32 s s))))) | |
| 66.4% | #s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) | |
| 66.4% | #s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) | |
| 18.9% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) | |
| 24.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/16 binary32))) s)) | |
| 18.4% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) | |
| ✓ | 26.0% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
| 18.9% | #s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) | |
| 10.5% | #s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/4 binary32) s))) |
Compiled 3 325 to 1 128 computations (66.1% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))) |
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 x (fabs.f32 x)) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 x s) (/.f32 (*.f32 x x) (*.f32 s s))))))) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s))))) s) #s(literal -1 binary32) #s(literal 4 binary32)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 s x))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/16 binary32))) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))) #s(literal 2 binary32))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (*.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (/.f32 (*.f32 x (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (*.f32 s s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) #s(literal 4 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(/.f32 #s(approx (/ (/ 1 (exp (/ x s))) s) (/.f32 #s(literal 1 binary32) (*.f32 s (exp.f32 (/.f32 x s))))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) #s(literal 2 binary32))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) s)) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32))))))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32))) #s(literal 2 binary32))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (-.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) (sinh.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))) |
| Outputs |
|---|
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
5 calls:
| 69.0ms | (fabs.f32 x) |
| 17.0ms | x |
| 13.0ms | s |
| 13.0ms | (neg.f32 (fabs.f32 x)) |
| 10.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (fabs.f32 x) |
| 99.8% | 1 | (neg.f32 (fabs.f32 x)) |
| 99.8% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 99.8% | 1 | x |
| 99.8% | 1 | s |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))) |
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 x (fabs.f32 x)) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 x s) (/.f32 (*.f32 x x) (*.f32 s s))))))) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s))))) s) #s(literal -1 binary32) #s(literal 4 binary32)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 s x))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/16 binary32))) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))) #s(literal 2 binary32))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (*.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (/.f32 (*.f32 x (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (*.f32 s s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) #s(literal 4 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(/.f32 #s(approx (/ (/ 1 (exp (/ x s))) s) (/.f32 #s(literal 1 binary32) (*.f32 s (exp.f32 (/.f32 x s))))) (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32))) |
| Outputs |
|---|
(/.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
5 calls:
| 16.0ms | s |
| 14.0ms | (neg.f32 (fabs.f32 x)) |
| 11.0ms | x |
| 11.0ms | (fabs.f32 x) |
| 8.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (fabs.f32 x) |
| 99.8% | 1 | (neg.f32 (fabs.f32 x)) |
| 99.8% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 99.8% | 1 | x |
| 99.8% | 1 | s |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))) |
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 x (fabs.f32 x)) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 x s) (/.f32 (*.f32 x x) (*.f32 s s))))))) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s))))) s) #s(literal -1 binary32) #s(literal 4 binary32)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 s x))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/16 binary32))) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))) #s(literal 2 binary32))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (*.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (/.f32 (*.f32 x (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (*.f32 s s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) #s(literal 4 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))))) |
| Outputs |
|---|
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) (pow.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))))) |
5 calls:
| 15.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 13.0ms | (fabs.f32 x) |
| 10.0ms | (neg.f32 (fabs.f32 x)) |
| 10.0ms | s |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (fabs.f32 x) |
| 99.7% | 1 | (neg.f32 (fabs.f32 x)) |
| 99.7% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 99.7% | 1 | x |
| 99.7% | 1 | s |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))) |
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 x (fabs.f32 x)) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 x s) (/.f32 (*.f32 x x) (*.f32 s s))))))) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s))))) s) #s(literal -1 binary32) #s(literal 4 binary32)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 s x))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/16 binary32))) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))) #s(literal 2 binary32))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (*.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (/.f32 (*.f32 x (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (*.f32 s s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) #s(literal 4 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) |
5 calls:
| 15.0ms | (fabs.f32 x) |
| 12.0ms | s |
| 10.0ms | x |
| 10.0ms | (neg.f32 (fabs.f32 x)) |
| 9.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (fabs.f32 x) |
| 99.7% | 1 | (neg.f32 (fabs.f32 x)) |
| 99.7% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 99.7% | 1 | x |
| 99.7% | 1 | s |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))) |
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 x (fabs.f32 x)) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 x s) (/.f32 (*.f32 x x) (*.f32 s s))))))) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s))))) s) #s(literal -1 binary32) #s(literal 4 binary32)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 s x))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/16 binary32))) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))) #s(literal 2 binary32))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (*.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (/.f32 (*.f32 x (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (*.f32 s s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) #s(literal 4 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (fabs.f32 x)) s) #s(literal -1 binary32) #s(literal 2 binary32))))) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))))) |
5 calls:
| 12.0ms | s |
| 12.0ms | (fabs.f32 x) |
| 12.0ms | (neg.f32 (fabs.f32 x)) |
| 10.0ms | x |
| 7.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | (fabs.f32 x) |
| 97.7% | 1 | (neg.f32 (fabs.f32 x)) |
| 97.7% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 97.7% | 1 | x |
| 97.7% | 1 | s |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))) |
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 x (fabs.f32 x)) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 x s) (/.f32 (*.f32 x x) (*.f32 s s))))))) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s))))) s) #s(literal -1 binary32) #s(literal 4 binary32)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 s x))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/16 binary32))) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))) #s(literal 2 binary32))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (*.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (/.f32 (*.f32 x (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (*.f32 s s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) #s(literal 4 binary32)) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
5 calls:
| 17.0ms | x |
| 11.0ms | (fabs.f32 x) |
| 9.0ms | s |
| 9.0ms | (neg.f32 (fabs.f32 x)) |
| 7.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 97.7% | 1 | (fabs.f32 x) |
| 97.7% | 1 | (neg.f32 (fabs.f32 x)) |
| 97.7% | 1 | x |
| 97.7% | 1 | s |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))) |
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 x (fabs.f32 x)) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 x s) (/.f32 (*.f32 x x) (*.f32 s s))))))) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s))))) s) #s(literal -1 binary32) #s(literal 4 binary32)))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 s x))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (*.f32 #s(approx (+ (exp (neg (/ (fabs x) s))) 1) #s(literal 2 binary32)) (*.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) s))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/8 binary32) #s(literal 1/4 binary32)) (*.f32 (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1/16 binary32))) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) #s(approx (+ 1 (exp (/ (neg (fabs x)) s))) #s(literal 2 binary32)))) |
#s(approx (/ (exp (/ (neg x) s)) (* (pow (+ (exp (/ (neg x) s)) 1) 2) s)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/96 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/16 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)))) |
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) (pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (pow (+ (exp (/ (neg x) s)) 1) -1) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))))) #s(literal 2 binary32))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (*.f32 #s(literal 1/4 binary32) (+.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) s) (/.f32 (*.f32 x (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (*.f32 s s))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (*.f32 #s(literal 3 binary32) (pow.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) #s(literal 4 binary32)) s))) |
| Outputs |
|---|
(/.f32 (/.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) (fma.f32 (/.f32 (fma.f32 #s(literal 4 binary32) x (neg.f32 (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s))))) s) #s(literal -1 binary32) #s(literal 4 binary32)))) |
5 calls:
| 11.0ms | (neg.f32 (fabs.f32 x)) |
| 11.0ms | s |
| 9.0ms | (fabs.f32 x) |
| 9.0ms | x |
| 7.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | (fabs.f32 x) |
| 97.4% | 1 | (neg.f32 (fabs.f32 x)) |
| 97.4% | 1 | x |
| 97.4% | 1 | s |
| 97.4% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))) |
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (/.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) (-.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (fma.f32 #s(literal -4 binary32) (/.f32 (fabs.f32 x) s) (fma.f32 #s(literal -4 binary32) (/.f32 (*.f32 x (fabs.f32 x)) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (fma.f32 #s(literal 4 binary32) (/.f32 x s) (/.f32 (*.f32 x x) (*.f32 s s))))))) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 3 binary32) (*.f32 x (/.f32 x s)))) s)) #s(literal 4 binary32)) s)))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) #s(literal 4 binary32)) s)))) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(approx (* (pow (+ (exp (/ (neg x) s)) 1) 2) s) (fma.f32 #s(literal 4 binary32) s (*.f32 x (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 x s)) #s(literal 4 binary32)))))) |
5 calls:
| 28.0ms | x |
| 6.0ms | (fabs.f32 x) |
| 6.0ms | s |
| 6.0ms | (neg.f32 (fabs.f32 x)) |
| 5.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | (neg.f32 (fabs.f32 x)) |
| 97.4% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 97.4% | 1 | s |
| 97.4% | 1 | (fabs.f32 x) |
| 97.4% | 1 | x |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) s) #s(approx (pow (+ (exp (neg (/ (fabs x) s))) 1) 2) #s(literal 4 binary32))) |
(/.f32 #s(approx (exp (/ (neg x) s)) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) (*.f32 (pow.f32 #s(approx (+ (exp (/ (neg x) s)) 1) (+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) s)) |
| Outputs |
|---|
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 (exp.f32 (/.f32 x s)) #s(approx (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2) #s(literal 4 binary32)))))) |
5 calls:
| 7.0ms | x |
| 5.0ms | s |
| 5.0ms | (fabs.f32 x) |
| 5.0ms | (neg.f32 (fabs.f32 x)) |
| 4.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 1 | (fabs.f32 x) |
| 94.8% | 1 | (neg.f32 (fabs.f32 x)) |
| 94.8% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 94.8% | 1 | x |
| 94.8% | 1 | s |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
| Outputs |
|---|
(/.f32 (exp.f32 (/.f32 (neg.f32 #s(approx (fabs x) x)) s)) #s(approx (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) (*.f32 #s(literal 4 binary32) s))) |
5 calls:
| 11.0ms | (fabs.f32 x) |
| 4.0ms | (neg.f32 (fabs.f32 x)) |
| 4.0ms | s |
| 4.0ms | x |
| 3.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.8% | 1 | (fabs.f32 x) |
| 94.8% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 94.8% | 1 | x |
| 94.8% | 1 | s |
| 94.8% | 1 | (neg.f32 (fabs.f32 x)) |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s)) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/4 binary32))) s))) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (/.f32 (-.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (pow (/ 1 (pow (+ (exp (/ (neg x) s)) 1) -1)) 2)) (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 (fabs.f32 x) s)) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) s))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s))) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/8 binary32) (*.f32 #s(literal -1/16 binary32) (*.f32 #s(literal 3 binary32) (*.f32 x x)))) (*.f32 s s)) s))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -4 binary32) x (fma.f32 #s(literal 4 binary32) (fabs.f32 x) (/.f32 (neg.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (fabs.f32 x)) (fma.f32 #s(literal 3 binary32) (*.f32 x x) (*.f32 #s(literal 2 binary32) (*.f32 x x))))) s))) s) #s(literal 4 binary32)))))) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) #s(approx (* s (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2))) (*.f32 (neg.f32 s) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (*.f32 x (/.f32 (fabs.f32 x) s)) (fma.f32 #s(literal -1 binary32) (fma.f32 #s(literal -4 binary32) x (*.f32 #s(literal 4 binary32) (fabs.f32 x))) (fma.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 x x) s))))) s)) #s(literal 4 binary32)))))) |
| Outputs |
|---|
#s(approx (/ (/ (exp (neg (/ (fabs x) s))) s) (exp (* (log (+ 1 (exp (/ (neg x) s)))) 2))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (fabs.f32 x) s) #s(literal 1/4 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) s)) |
5 calls:
| 6.0ms | (neg.f32 (fabs.f32 x)) |
| 4.0ms | (fabs.f32 x) |
| 4.0ms | s |
| 4.0ms | x |
| 3.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.4% | 1 | (fabs.f32 x) |
| 66.4% | 1 | (neg.f32 (fabs.f32 x)) |
| 66.4% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 66.4% | 1 | x |
| 66.4% | 1 | s |
Compiled 33 to 22 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(approx (+ 1/4 (/ (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (* s s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/16 binary32) (*.f32 #s(literal 1/4 binary32) (*.f32 s s))) (*.f32 s s))) s)) |
| Outputs |
|---|
#s(approx (/ (/ (/ 1 (exp (/ x s))) s) (pow (+ (exp (neg (/ (fabs x) s))) 1) 2)) (/.f32 #s(literal 1 binary32) (*.f32 s #s(approx (* (exp (/ x s)) (pow (+ 1 (exp (/ (fabs x) (neg s)))) 2)) (+.f32 (/.f32 (fma.f32 #s(literal -4 binary32) (fabs.f32 x) (*.f32 #s(literal 4 binary32) x)) s) #s(literal 4 binary32)))))) |
5 calls:
| 2.0ms | (neg.f32 (fabs.f32 x)) |
| 2.0ms | (fabs.f32 x) |
| 2.0ms | s |
| 2.0ms | x |
| 2.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.3% | 1 | s |
| 26.3% | 1 | (fabs.f32 x) |
| 26.3% | 1 | x |
| 26.3% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 26.3% | 1 | (neg.f32 (fabs.f32 x)) |
Compiled 33 to 22 computations (33.3% saved)
Total -2.4b remaining (-10.2%)
Threshold costs -2.4b (-10.2%)
| Inputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/16 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(approx (+ (* (* x x) 1/8) (* -1/16 (* 3 (* x x)))) (*.f32 #s(literal -1/16 binary32) (*.f32 x x))) (*.f32 s s))) s)) |
| Outputs |
|---|
#s(approx (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) (/.f32 #s(literal 1/4 binary32) s)) |
5 calls:
| 4.0ms | (neg.f32 (fabs.f32 x)) |
| 2.0ms | s |
| 1.0ms | (fabs.f32 x) |
| 1.0ms | x |
| 1.0ms | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 26.0% | 1 | (fabs.f32 x) |
| 26.0% | 1 | x |
| 26.0% | 1 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 26.0% | 1 | (neg.f32 (fabs.f32 x)) |
| 26.0% | 1 | s |
Compiled 33 to 22 computations (33.3% saved)
| 1× | fuel |
Compiled 425 to 133 computations (68.7% saved)
(abs x)
Compiled 1 752 to 868 computations (50.5% saved)
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