
Time bar (total: 13.3s)
| 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 35 to 16 computations (54.3% saved)
...c/correct-round.rkt:119:19: 7.0ms (19.4% of total)ival-div: 6.0ms (16.6% of total)ival-mult: 6.0ms (16.6% of total)ival-<=: 4.0ms (11.1% of total)ival-add: 3.0ms (8.3% of total)ival-exp: 3.0ms (8.3% of total)ival-fabs: 3.0ms (8.3% of total)ival-neg: 2.0ms (5.5% of total)ival-and: 1.0ms (2.8% of total)const: 1.0ms (2.8% of total)backward-pass: 0.0ms (0% of total)| 1.1s | 8256× | 0 | valid |
...c/correct-round.rkt:119:19: 152.0ms (18.4% of total)ival-mult: 151.0ms (18.3% of total)ival-div: 139.0ms (16.9% of total)ival-<=: 87.0ms (10.6% of total)ival-fabs: 76.0ms (9.2% of total)ival-add: 66.0ms (8% of total)ival-exp: 64.0ms (7.8% of total)ival-neg: 64.0ms (7.8% of total)const: 12.0ms (1.5% of total)ival-and: 11.0ms (1.3% of total)backward-pass: 3.0ms (0.4% of total)| 2× | egg-herbie |
| 2410× | sum4-define |
| 2120× | sum3-define |
| 1984× | *-lowering-*.f32 |
| 1984× | *-lowering-*.f64 |
| 1686× | fmsub-define |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 166 |
| 1 | 147 | 154 |
| 2 | 487 | 146 |
| 3 | 1631 | 144 |
| 4 | 5544 | 144 |
| 0 | 11 | 26 |
| 1 | 37 | 26 |
| 2 | 112 | 25 |
| 3 | 277 | 25 |
| 4 | 616 | 24 |
| 5 | 1112 | 18 |
| 6 | 1919 | 17 |
| 7 | 3778 | 16 |
| 8 | 6949 | 16 |
| 0 | 8503 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) |
| Outputs |
|---|
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) |
| Inputs |
|---|
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) |
(/ (exp (/ (neg (fabs (neg x))) s)) (* (* s (+ 1 (exp (/ (neg (fabs (neg x))) s)))) (+ 1 (exp (/ (neg (fabs (neg x))) s))))) |
(/ (exp (/ (neg (fabs x)) (neg s))) (* (* (neg s) (+ 1 (exp (/ (neg (fabs x)) (neg s))))) (+ 1 (exp (/ (neg (fabs x)) (neg s)))))) |
(neg (/ (exp (/ (neg (fabs (neg x))) s)) (* (* s (+ 1 (exp (/ (neg (fabs (neg x))) s)))) (+ 1 (exp (/ (neg (fabs (neg x))) s)))))) |
(neg (/ (exp (/ (neg (fabs x)) (neg s))) (* (* (neg s) (+ 1 (exp (/ (neg (fabs x)) (neg s))))) (+ 1 (exp (/ (neg (fabs x)) (neg s))))))) |
(/ (exp (/ (neg (fabs s)) x)) (* (* x (+ 1 (exp (/ (neg (fabs s)) x)))) (+ 1 (exp (/ (neg (fabs s)) x))))) |
| Outputs |
|---|
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) |
(/ (exp (/ (fabs x) (neg s))) (* (+ 1 (exp (/ (fabs x) (neg s)))) (fma s (exp (/ (fabs x) (neg s))) s))) |
(/ (exp (/ (neg (fabs (neg x))) s)) (* (* s (+ 1 (exp (/ (neg (fabs (neg x))) s)))) (+ 1 (exp (/ (neg (fabs (neg x))) s))))) |
(/ (exp (/ (fabs x) (neg s))) (* (+ 1 (exp (/ (fabs x) (neg s)))) (fma s (exp (/ (fabs x) (neg s))) s))) |
(/ (exp (/ (neg (fabs x)) (neg s))) (* (* (neg s) (+ 1 (exp (/ (neg (fabs x)) (neg s))))) (+ 1 (exp (/ (neg (fabs x)) (neg s)))))) |
(/ (exp (/ (fabs x) s)) (* (+ 1 (exp (/ (fabs x) s))) (fnmsub s (exp (/ (fabs x) s)) s))) |
(neg (/ (exp (/ (neg (fabs (neg x))) s)) (* (* s (+ 1 (exp (/ (neg (fabs (neg x))) s)))) (+ 1 (exp (/ (neg (fabs (neg x))) s)))))) |
(/ (exp (/ (fabs x) (neg s))) (* (+ 1 (exp (/ (fabs x) (neg s)))) (fnmsub s (exp (/ (fabs x) (neg s))) s))) |
(neg (/ (exp (/ (neg (fabs x)) (neg s))) (* (* (neg s) (+ 1 (exp (/ (neg (fabs x)) (neg s))))) (+ 1 (exp (/ (neg (fabs x)) (neg s))))))) |
(/ (exp (/ (fabs x) s)) (* (+ 1 (exp (/ (fabs x) s))) (fma s (exp (/ (fabs x) s)) s))) |
(/ (exp (/ (neg (fabs s)) x)) (* (* x (+ 1 (exp (/ (neg (fabs s)) x)))) (+ 1 (exp (/ (neg (fabs s)) x))))) |
(/ (exp (/ (fabs s) (neg x))) (* (+ 1 (exp (/ (fabs s) (neg x)))) (fma x (exp (/ (fabs s) (neg x))) x))) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 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) |
| 0 | 0 | - | 0 | - | (/.f32 (neg.f32 (fabs.f32 x)) s) |
| 0 | 0 | - | 0 | - | (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
| 0 | 0 | - | 0 | - | (neg.f32 (fabs.f32 x)) |
| 0 | 0 | - | 0 | - | s |
| 0 | 3 | (1.1890441102056238e-22 3.1747219022934515e-25) | 0 | - | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| 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 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| 59.0ms | 512× | 0 | valid |
Compiled 198 to 35 computations (82.3% saved)
ival-div: 8.0ms (27.2% of total)ival-mult: 8.0ms (27.2% of total)ival-exp: 4.0ms (13.6% of total)ival-add: 3.0ms (10.2% of total)ival-fabs: 3.0ms (10.2% of total)ival-neg: 2.0ms (6.8% of total)const: 1.0ms (3.4% of total)backward-pass: 0.0ms (0% of total)Compiled 20 to 13 computations (35% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) |
| ▶ | 99.8% | (/.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 48 to 24 computations (50% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) |
| ✓ | cost-diff | 0 | (fabs.f32 x) |
| ✓ | cost-diff | 0 | (/.f32 (fabs.f32 x) s) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) s) |
| ✓ | cost-diff | 0 | (fabs.f32 x) |
| ✓ | cost-diff | 0 | (neg.f32 (fabs.f32 x)) |
| ✓ | cost-diff | 32 | (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
| ✓ | cost-diff | 6560 | (/.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))))) |
| 2260× | fma-define |
| 1998× | fma-lowering-fma.f32 |
| 1998× | fma-lowering-fma.f64 |
| 1940× | *-lowering-*.f32 |
| 1940× | *-lowering-*.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 157 |
| 1 | 59 | 152 |
| 2 | 155 | 152 |
| 3 | 368 | 152 |
| 4 | 868 | 149 |
| 5 | 1791 | 133 |
| 6 | 3188 | 133 |
| 7 | 5405 | 133 |
| 0 | 8170 | 133 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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 |
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))) |
(/ 1 s) |
1 |
s |
(+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)) |
(exp (neg (/ (fabs x) s))) |
(neg (/ (fabs x) s)) |
(/ (fabs x) s) |
(fabs x) |
x |
(+ (exp (/ (fabs x) s)) 2) |
(exp (/ (fabs x) s)) |
2 |
| Outputs |
|---|
(/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) |
(exp (/ (neg (fabs x)) s)) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) |
(/ (neg (fabs x)) s) |
(-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)) |
(neg (fabs x)) |
(neg.f32 (fabs.f32 x)) |
(fabs x) |
(fabs.f32 x) |
x |
s |
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) |
(*.f32 s (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(* s (+ 1 (exp (/ (neg (fabs x)) s)))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(+ 1 (exp (/ (neg (fabs x)) s))) |
(+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) |
(/ 1 s) |
(/.f32 #s(literal 1 binary32) s) |
1 |
#s(literal 1 binary32) |
s |
(+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)) |
(+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) |
(neg (/ (fabs x) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(fabs x) |
(fabs.f32 x) |
x |
(+ (exp (/ (fabs x) s)) 2) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
2 |
#s(literal 2 binary32) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f32 (/.f32 (fabs.f32 x) s)) |
| ✓ | accuracy | 100.0% | (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) |
| ✓ | accuracy | 99.9% | (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) |
| ✓ | accuracy | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) |
| ✓ | accuracy | 100.0% | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))) |
| ✓ | accuracy | 99.9% | (*.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 | 99.9% | (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)))) |
| ✓ | accuracy | 99.9% | (/.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)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| 64.0ms | 256× | 0 | valid |
Compiled 153 to 21 computations (86.3% saved)
ival-div: 9.0ms (31.7% of total)ival-add: 6.0ms (21.1% of total)ival-exp: 5.0ms (17.6% of total)ival-mult: 3.0ms (10.6% of total)ival-fabs: 2.0ms (7% of total)ival-neg: 2.0ms (7% of total)const: 1.0ms (3.5% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))))> |
#<alt (* s (+ 1 (exp (/ (neg (fabs x)) s))))> |
#<alt (neg (fabs x))> |
#<alt (fabs x)> |
#<alt (/ 1 s)> |
#<alt (/ (fabs x) s)> |
#<alt (+ (exp (/ (fabs x) s)) 2)> |
#<alt (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))> |
#<alt (+ 1 (exp (/ (neg (fabs x)) s)))> |
#<alt (/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (/ (fabs x) s))> |
| Outputs |
|---|
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)))> |
#<alt (/ 1/4 s)> |
#<alt (/ (- (+ 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)> |
#<alt (/ (- (+ 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)> |
#<alt (/ (- (+ 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)> |
#<alt (/ 1/4 s)> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* 2 s)> |
#<alt (* s (+ 2 (* -1 (/ (fabs x) s))))> |
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))> |
#<alt (* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))))> |
#<alt (* 2 s)> |
#<alt (* -1 (* s (- (/ (fabs x) s) 2)))> |
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2)))> |
#<alt (* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2)))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* s (+ 1 (exp (* -1 (/ (fabs x) s)))))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (/ (fabs x) s)> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt 3> |
#<alt (+ 3 (/ (fabs x) s))> |
#<alt (+ 3 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))> |
#<alt (+ 3 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))> |
#<alt 3> |
#<alt (+ 3 (/ (fabs x) s))> |
#<alt (+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))> |
#<alt (+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* 4 s)> |
#<alt (* s (+ 4 (* -4 (/ (fabs x) s))))> |
#<alt (* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2))))))> |
#<alt (* 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))))))))> |
#<alt (* 4 s)> |
#<alt (* -1 (* s (- (* 4 (/ (fabs x) s)) 4)))> |
#<alt (* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4)))> |
#<alt (* -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)))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt (+ 1 (exp (* -1 (/ (fabs x) s))))> |
#<alt 2> |
#<alt (+ 2 (* -1 (/ (fabs x) s)))> |
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))> |
#<alt 2> |
#<alt (+ 2 (* -1 (/ (fabs x) s)))> |
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))> |
#<alt (+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) (pow s 2)))) (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) 1/4) s))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) s)) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt (exp (neg (/ (fabs x) s)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (fabs x) s)))> |
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (fabs x) s)))> |
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))> |
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt (exp (/ (fabs x) s))> |
#<alt 1> |
#<alt (+ 1 (/ (fabs x) s))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))> |
#<alt (+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))> |
#<alt 1> |
#<alt (+ 1 (/ (fabs x) s))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | (/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))) |
| 3.0ms | s | @ | -inf | (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) |
| 3.0ms | x | @ | -inf | (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) |
| 3.0ms | s | @ | 0 | (/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))) |
| 2.0ms | x | @ | inf | (/ (exp (/ (neg (fabs x)) s)) (* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s))))) |
| 1× | batch-egg-rewrite |
| 3812× | /-lowering-/.f32 |
| 3812× | /-lowering-/.f64 |
| 3396× | *-lowering-*.f32 |
| 3396× | *-lowering-*.f64 |
| 2022× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 109 |
| 1 | 134 | 93 |
| 2 | 1024 | 89 |
| 0 | 8642 | 89 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (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)))) |
(neg (fabs x)) |
(fabs x) |
(/ 1 s) |
(/ (fabs x) s) |
(+ (exp (/ (fabs x) s)) 2) |
(* (* s (+ 1 (exp (/ (neg (fabs x)) s)))) (+ 1 (exp (/ (neg (fabs x)) s)))) |
(+ 1 (exp (/ (neg (fabs x)) s))) |
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (+ (exp (/ (fabs x) s)) 2))) |
(exp (neg (/ (fabs x) s))) |
(exp (/ (fabs x) s)) |
| Outputs |
|---|
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)))))) |
(neg.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s)))))) |
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)))) |
(exp.f32 (*.f32 (log.f32 (*.f32 s (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) |
(+.f32 (*.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) #s(literal 1 binary32)) (*.f32 (/.f32 (/.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) (/.f32 (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
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(/.f32 (*.f32 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)) |
(/.f32 (*.f32 (neg.f32 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)) |
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(/.f32 (*.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 (*.f32 (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.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))))) |
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))))) |
(/.f32 (+.f32 (*.f32 (+.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))))) (exp.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (*.f32 s (*.f32 s s)) (/.f32 (*.f32 s (*.f32 s s)) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)))))) (*.f32 (+.f32 (*.f32 s s) (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (*.f32 s s)) (*.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/.f32 (+.f32 (*.f32 (-.f32 (*.f32 s s) (*.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))) (*.f32 s s))) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (-.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))) (*.f32 (-.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/.f32 (+.f32 (*.f32 (*.f32 s (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 3 binary32))))) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))) (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) (exp.f32 (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/.f32 (+.f32 (*.f32 (*.f32 s (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) (neg.f32 s)) #s(literal 2 binary32))))) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
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(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1 binary32) s))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 (fabs.f32 x) s))) |
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) |
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 #s(literal -1 binary32) s)) |
(pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) s)) |
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s)) |
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s)) |
(pow.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32))) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s)) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) s)) (fabs.f32 x)) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) (neg.f32 s))) |
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fabs.f32 x) (neg.f32 s))) |
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (-.f32 #s(literal 0 binary32) (fabs.f32 x))) |
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(*.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) (neg.f32 s)))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(*.f32 (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) |
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (fabs.f32 x))) (/.f32 #s(literal 1 binary32) s))) |
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) |
(pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 #s(literal 1 binary32) s)) |
(pow.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x))) (/.f32 #s(literal -1 binary32) s)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (fabs.f32 x) (neg.f32 s))) |
(pow.f32 (pow.f32 (exp.f32 (fabs.f32 x)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) s)) |
(pow.f32 (pow.f32 (exp.f32 (fabs.f32 x)) (pow.f32 s #s(literal -1/2 binary32))) (pow.f32 s #s(literal -1/2 binary32))) |
(pow.f32 (exp.f32 #s(literal 1 binary32)) (/.f32 (fabs.f32 x) s)) |
(pow.f32 (exp.f32 (/.f32 #s(literal 1 binary32) s)) (fabs.f32 x)) |
(/.f32 #s(literal 1 binary32) (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) s)) #s(literal 1 binary32)) |
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/.f32 (neg.f32 (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1 binary32)) |
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) |
(*.f32 (pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) (pow.f32 (exp.f32 (fabs.f32 x)) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32)))) |
| 1× | egg-herbie |
| 3216× | *-lowering-*.f32 |
| 3216× | *-lowering-*.f64 |
| 2086× | +-lowering-+.f64 |
| 2086× | +-lowering-+.f32 |
| 1704× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 322 | 2947 |
| 1 | 1062 | 2613 |
| 2 | 4049 | 2548 |
| 0 | 8288 | 2548 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/ 1/4 s) |
(/ (- (+ 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) |
(/ (- (+ 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) |
(/ (- (+ 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) |
(/ 1/4 s) |
(* -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)) |
(* -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)) |
(* -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 (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* 2 s) |
(* s (+ 2 (* -1 (/ (fabs x) s)))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
(* 2 s) |
(* -1 (* s (- (/ (fabs x) s) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(/ (fabs x) s) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
3 |
(+ 3 (/ (fabs x) s)) |
(+ 3 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))) |
(+ 3 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))) |
3 |
(+ 3 (/ (fabs x) s)) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* 4 s) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))) |
(* 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)))))))) |
(* 4 s) |
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))) |
(* -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 (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
(+ 1 (exp (* -1 (/ (fabs x) s)))) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
2 |
(+ 2 (* -1 (/ (fabs x) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) (pow s 2)))) (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) 1/4) s)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) s)) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s)) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
(exp (neg (/ (fabs x) s))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
(exp (/ (fabs x) s)) |
1 |
(+ 1 (/ (fabs x) s)) |
(+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))) |
(+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))) |
1 |
(+ 1 (/ (fabs x) s)) |
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
| Outputs |
|---|
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ (exp (* -1 (/ (fabs x) s))) (* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2))) |
(/.f32 (/.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) s) (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ (- (+ 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) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (*.f32 s s))) s) |
(/ (- (+ 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) |
(/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s s)))))) (-.f32 (*.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s)))) (+.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) (*.f32 s s)) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal -5/48 binary32) (*.f32 s s)))))) s) |
(/ (- (+ 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) |
(/.f32 (+.f32 (-.f32 (+.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/24 binary32) (*.f32 s (*.f32 s s)))))) (/.f32 (*.f32 #s(literal 1/96 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (pow.f32 s #s(literal 4 binary32)))) (/.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (-.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x)))) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -5/48 binary32))))) (pow.f32 s #s(literal 4 binary32)))) (+.f32 (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) (/.f32 #s(literal -5/48 binary32) (*.f32 s s))) (+.f32 (/.f32 (*.f32 #s(literal 3/16 binary32) (*.f32 x x)) (*.f32 s s)) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal 3 binary32))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x)))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32))) (pow.f32 s #s(literal 4 binary32))))))) (*.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))))) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(* -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)) |
(/.f32 (-.f32 #s(literal -1/4 binary32) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (*.f32 s s))) (neg.f32 s)) |
(* -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)) |
(/.f32 (-.f32 (-.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/24 binary32))) (*.f32 s (*.f32 s s))) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (*.f32 s s))) (+.f32 #s(literal 1/4 binary32) (+.f32 (*.f32 (/.f32 #s(literal 5/48 binary32) s) (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (*.f32 s s))) (*.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (*.f32 s (*.f32 s s))))))) (neg.f32 s)) |
(* -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)) |
(/.f32 (-.f32 #s(literal -1/4 binary32) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x))) (*.f32 s s)) (/.f32 (-.f32 (-.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/96 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) s) (+.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal 3/4 binary32))) s) (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal 3 binary32))) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x)))) s))) (*.f32 (fabs.f32 x) (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/24 binary32))) (+.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x)))) (*.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (*.f32 x x))))) s))) (-.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/24 binary32))) (+.f32 (*.f32 (fabs.f32 x) (+.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 #s(literal -3/16 binary32) (*.f32 x x)))) (*.f32 #s(literal 5/48 binary32) (*.f32 (fabs.f32 x) (*.f32 x x)))))) (*.f32 s (*.f32 s s))))) (neg.f32 s)) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 2 s) |
(*.f32 s #s(literal 2 binary32)) |
(* s (+ 2 (* -1 (/ (fabs x) s)))) |
(*.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(*.f32 s (+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s))) |
(* s (+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))) |
(*.f32 s (+.f32 #s(literal 2 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s))))))) |
(* 2 s) |
(*.f32 s #s(literal 2 binary32)) |
(* -1 (* s (- (/ (fabs x) s) 2))) |
(*.f32 s (-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s))) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* 1/2 (/ (pow (fabs x) 2) s))) s)) 2))) |
(*.f32 (-.f32 #s(literal -2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s)) (neg.f32 s)) |
(* -1 (* s (- (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* 1/6 (/ (pow (fabs x) 3) s))) s))) s)) 2))) |
(*.f32 (+.f32 (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) s)) s) #s(literal -2 binary32)) (neg.f32 s)) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
(+.f32 s (/.f32 s (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* s (+ 1 (exp (* -1 (/ (fabs x) s))))) |
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(fabs x) |
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(fabs x) |
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(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
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(/.f32 #s(literal 1 binary32) s) |
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(/ (fabs x) s) |
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(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
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3 |
#s(literal 3 binary32) |
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3 |
#s(literal 3 binary32) |
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(-.f32 #s(literal 3 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) (fabs.f32 x)) s)) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(+.f32 #s(literal 3 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
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(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* s (pow (+ 1 (exp (* -1 (/ (fabs x) s)))) 2)) |
(*.f32 s (pow.f32 (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) #s(literal 1 binary32)) #s(literal 2 binary32))) |
(* 4 s) |
(*.f32 s #s(literal 4 binary32)) |
(* s (+ 4 (* -4 (/ (fabs x) s)))) |
(*.f32 s (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -4 binary32)))) |
(* s (+ 4 (+ (* -4 (/ (fabs x) s)) (+ (* 2 (/ (pow (fabs x) 2) (pow s 2))) (/ (pow (fabs x) 2) (pow s 2)))))) |
(*.f32 s (+.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -4 binary32)) (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s)) s)))) |
(* 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)))))))) |
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(* 4 s) |
(*.f32 s #s(literal 4 binary32)) |
(* -1 (* s (- (* 4 (/ (fabs x) s)) 4))) |
(*.f32 s (*.f32 (+.f32 #s(literal -4 binary32) (/.f32 (*.f32 (fabs.f32 x) #s(literal 4 binary32)) s)) #s(literal -1 binary32))) |
(* -1 (* s (- (* -1 (/ (+ (* -4 (fabs x)) (+ (* 2 (/ (pow (fabs x) 2) s)) (/ (pow (fabs x) 2) s))) s)) 4))) |
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (+.f32 (*.f32 (fabs.f32 x) #s(literal -4 binary32)) (*.f32 #s(literal 3 binary32) (/.f32 (*.f32 x x) s))) s)) (neg.f32 s)) |
(* -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))) |
(*.f32 (-.f32 #s(literal -4 binary32) (/.f32 (-.f32 (*.f32 (fabs.f32 x) #s(literal -4 binary32)) (/.f32 (+.f32 (*.f32 #s(literal -3 binary32) (*.f32 x x)) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) s) #s(literal 5/3 binary32))) s)) s)) (neg.f32 s)) |
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2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+.f32 #s(literal 2 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s)) |
(+ 2 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
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2 |
#s(literal 2 binary32) |
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(-.f32 #s(literal 2 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 2 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
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(+ 2 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
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(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
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(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
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(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ (+ 1/4 (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 0 binary32) s)) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) (pow s 2)))) (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s) |
(/.f32 (+.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) (/.f32 #s(literal 0 binary32) s)) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))) s) |
(/.f32 (+.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) s) s)) (-.f32 (/.f32 (/.f32 #s(literal 0 binary32) s) s) (+.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))))) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(* -1 (/ (- (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) 1/4) s)) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 0 binary32) s)) s) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s)) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) s)) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s)) |
(/.f32 (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 0 binary32) s) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) s) s) #s(literal 1/4 binary32)) s) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (-.f32 #s(literal 0 binary32) (fabs.f32 x)) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s)) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) s) (fabs.f32 x)) s) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) (*.f32 s (*.f32 s s)))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (fabs x) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) s)) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32))) s)) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal -1/6 binary32) s))) s)) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
1 |
#s(literal 1 binary32) |
(+ 1 (/ (fabs x) s)) |
(+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32)) |
(+ 1 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))) |
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) (+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32))) |
(+ 1 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))) |
(+.f32 (+.f32 (/.f32 (fabs.f32 x) s) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) (/.f32 #s(literal 1/6 binary32) (*.f32 s (*.f32 s s)))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (/ (fabs x) s)) |
(+.f32 (/.f32 (fabs.f32 x) s) #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) (fabs.f32 x)) s)) |
(+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
Compiled 27823 to 2449 computations (91.2% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 942 | 9 | 951 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 0 | 2 |
| Done | 0 | 0 | 0 |
| Total | 944 | 9 | 953 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) |
| ▶ | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) |
| 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))) | |
| ▶ | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
| 21.9% | (/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) | |
| 99.8% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 binary32)) s)) | |
| ▶ | 95.6% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32))) |
| 99.8% | (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) | |
| ▶ | 25.7% | (/.f32 #s(literal 1/4 binary32) s) |
Compiled 290 to 204 computations (29.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) s) |
| ✓ | cost-diff | 128 | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) |
| ✓ | cost-diff | 6624 | (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))))) |
| ✓ | cost-diff | 6688 | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
| ✓ | cost-diff | 64 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
| ✓ | cost-diff | 64 | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) |
| ✓ | cost-diff | 0 | (fabs.f32 x) |
| ✓ | cost-diff | 0 | (/.f32 (neg.f32 (fabs.f32 x)) s) |
| ✓ | cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| ✓ | cost-diff | 32 | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1/4 binary32) s) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) s) |
| ✓ | cost-diff | 64 | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
| 2972× | *-lowering-*.f32 |
| 2972× | *-lowering-*.f64 |
| 2098× | sum4-define |
| 1856× | fma-define |
| 1500× | +-lowering-+.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 206 |
| 1 | 63 | 199 |
| 2 | 124 | 199 |
| 3 | 234 | 198 |
| 4 | 423 | 195 |
| 5 | 671 | 195 |
| 6 | 1127 | 195 |
| 7 | 2550 | 195 |
| 8 | 7556 | 195 |
| 0 | 8479 | 195 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
(/ 1 s) |
1 |
s |
(+ 2 (* 2 (cosh (/ (fabs x) s)))) |
2 |
(* 2 (cosh (/ (fabs x) s))) |
(cosh (/ (fabs x) s)) |
(/ (fabs x) s) |
(fabs x) |
x |
(/ 1/4 s) |
1/4 |
s |
(/ (exp (/ (neg (fabs x)) s)) (* s 4)) |
(exp (/ (neg (fabs x)) s)) |
(/ (neg (fabs x)) s) |
(neg (fabs x)) |
(fabs x) |
x |
s |
(* s 4) |
4 |
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s) |
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
1 |
(+ 2 (* 2 (cosh (/ (fabs x) s)))) |
2 |
(* 2 (cosh (/ (fabs x) s))) |
(cosh (/ (fabs x) s)) |
(/ (fabs x) s) |
(fabs x) |
x |
s |
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2))))) |
(/ 1 s) |
1 |
s |
(+ (exp (neg (/ (fabs x) s))) (/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2)))) |
(exp (neg (/ (fabs x) s))) |
(neg (/ (fabs x) s)) |
(/ (fabs x) s) |
(fabs x) |
x |
(/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2))) |
(/ 1 (+ (exp (/ (fabs x) s)) 2)) |
(+ (exp (/ (fabs x) s)) 2) |
(exp (/ (fabs x) s)) |
2 |
| Outputs |
|---|
(/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 s) |
(/.f32 #s(literal 1 binary32) s) |
1 |
#s(literal 1 binary32) |
s |
(+ 2 (* 2 (cosh (/ (fabs x) s)))) |
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
2 |
#s(literal 2 binary32) |
(* 2 (cosh (/ (fabs x) s))) |
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) |
(cosh (/ (fabs x) s)) |
(cosh.f32 (/.f32 (fabs.f32 x) s)) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(fabs x) |
(fabs.f32 x) |
x |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
1/4 |
#s(literal 1/4 binary32) |
s |
(/ (exp (/ (neg (fabs x)) s)) (* s 4)) |
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s) |
(exp (/ (neg (fabs x)) s)) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(/ (neg (fabs x)) s) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(neg (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(fabs x) |
(fabs.f32 x) |
x |
s |
(* s 4) |
(*.f32 s #s(literal 4 binary32)) |
4 |
#s(literal 4 binary32) |
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s) |
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
1 |
#s(literal 1 binary32) |
(+ 2 (* 2 (cosh (/ (fabs x) s)))) |
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
2 |
#s(literal 2 binary32) |
(* 2 (cosh (/ (fabs x) s))) |
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) |
(cosh (/ (fabs x) s)) |
(cosh.f32 (/.f32 (fabs.f32 x) s)) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(fabs x) |
(fabs.f32 x) |
x |
s |
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2))))) |
(/.f32 (/.f32 #s(literal 1/2 binary32) s) (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 s) |
(/.f32 #s(literal 1 binary32) s) |
1 |
#s(literal 1 binary32) |
s |
(+ (exp (neg (/ (fabs x) s))) (/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2)))) |
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
(exp (neg (/ (fabs x) s))) |
(exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) |
(neg (/ (fabs x) s)) |
(/.f32 (fabs.f32 x) (neg.f32 s)) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(fabs x) |
(fabs.f32 x) |
x |
(/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(/ 1 (+ (exp (/ (fabs x) s)) 2)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(+ (exp (/ (fabs x) s)) 2) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(exp (/ (fabs x) s)) |
(exp.f32 (/.f32 (fabs.f32 x) s)) |
2 |
#s(literal 2 binary32) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)) |
| ✓ | accuracy | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) |
| ✓ | accuracy | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32))) |
| ✓ | accuracy | 99.9% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) |
| ✓ | accuracy | 100.0% | (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
| ✓ | accuracy | 100.0% | (cosh.f32 (/.f32 (fabs.f32 x) s)) |
| ✓ | accuracy | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) |
| ✓ | accuracy | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
| ✓ | accuracy | 100.0% | (neg.f32 (fabs.f32 x)) |
| ✓ | accuracy | 100.0% | (fabs.f32 x) |
| ✓ | accuracy | 100.0% | (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) |
| ✓ | accuracy | 100.0% | (/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32))) |
| ✓ | accuracy | 100.0% | (/.f32 #s(literal 1/4 binary32) s) |
| ✓ | accuracy | 100.0% | (fabs.f32 x) |
| ✓ | accuracy | 100.0% | (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
| ✓ | accuracy | 100.0% | (cosh.f32 (/.f32 (fabs.f32 x) s)) |
| ✓ | accuracy | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
| 60.0ms | 169× | 0 | unsamplable |
| 33.0ms | 87× | 0 | valid |
Compiled 238 to 30 computations (87.4% saved)
ival-div: 18.0ms (34.3% of total)ival-add: 13.0ms (24.7% of total)ival-cosh: 7.0ms (13.3% of total)ival-exp: 5.0ms (9.5% of total)ival-mult: 4.0ms (7.6% of total)ival-fabs: 2.0ms (3.8% of total)ival-neg: 2.0ms (3.8% of total)const: 1.0ms (1.9% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s)))))> |
#<alt (/ 1 s)> |
#<alt (+ 2 (* 2 (cosh (/ (fabs x) s))))> |
#<alt (* 2 (cosh (/ (fabs x) s)))> |
#<alt (/ 1/4 s)> |
#<alt (/ (exp (/ (neg (fabs x)) s)) (* s 4))> |
#<alt (exp (/ (neg (fabs x)) s))> |
#<alt (/ (neg (fabs x)) s)> |
#<alt (fabs x)> |
#<alt (/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s)> |
#<alt (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s)))))> |
#<alt (/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2)))))> |
#<alt (+ (exp (neg (/ (fabs x) s))) (/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2))))> |
#<alt (/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2)))> |
#<alt (cosh (/ (fabs x) s))> |
#<alt (neg (fabs x))> |
#<alt (/ 1 (+ (exp (/ (fabs x) s)) 2))> |
#<alt (+ (exp (/ (fabs x) s)) 2)> |
| Outputs |
|---|
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (/ 1 s)> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow (fabs x) 2) (pow s 2)))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow (fabs x) 2) (pow s 2)))> |
#<alt (+ 4 (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (+ (* -1/2 (/ (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s)) (+ (* -1/6 (/ (pow (fabs x) 4) s)) (/ (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) s)))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))> |
#<alt 2> |
#<alt (+ 2 (/ (pow (fabs x) 2) (pow s 2)))> |
#<alt (+ 2 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 2 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt 2> |
#<alt (+ 2 (/ (pow (fabs x) 2) (pow s 2)))> |
#<alt (+ 2 (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 2 (+ (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (+ (* -1/2 (/ (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s)) (+ (* -1/6 (/ (pow (fabs x) 4) s)) (/ (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) s)))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/4 (/ (fabs x) s))) s)> |
#<alt (/ (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) s)> |
#<alt (/ (+ 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)))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/4 (/ (fabs x) s)) 1/4) s))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1/4 (fabs x)) (* 1/8 (/ (pow (fabs x) 2) s))) s)) 1/4) s))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 2)) (* 1/24 (/ (pow (fabs x) 3) s))) s)) (* -1/4 (fabs x))) s)) 1/4) s))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt (exp (* -1 (/ (fabs x) s)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (fabs x) s)))> |
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (fabs x) s)))> |
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s)))> |
#<alt (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (* -1 (/ (fabs x) s))> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) (pow s 2)))) (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) 1/4) s))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) s)) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s))))> |
#<alt 4> |
#<alt (+ 4 (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s)))> |
#<alt (+ 4 (+ (* -1 (/ (fabs x) s)) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 4 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2)))))))> |
#<alt 4> |
#<alt (+ 4 (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s)))> |
#<alt (+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) s)))) s)))> |
#<alt (+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3))) s)) (pow (fabs x) 2)) s)))) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt 3> |
#<alt (+ 3 (/ (fabs x) s))> |
#<alt (+ 3 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))> |
#<alt (+ 3 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))> |
#<alt 3> |
#<alt (+ 3 (/ (fabs x) s))> |
#<alt (+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))> |
#<alt (+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (* -1 (fabs x))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt (/ 1 (+ 2 (exp (/ (fabs x) s))))> |
#<alt 1/3> |
#<alt (+ 1/3 (* -1/9 (/ (fabs x) s)))> |
#<alt (- (+ 1/3 (* -1 (/ (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2))) (pow s 2)))) (* 1/9 (/ (fabs x) s)))> |
#<alt (- (+ 1/3 (* -1 (/ (+ (* -1/3 (* (fabs x) (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2))))) (+ (* -1/54 (pow (fabs x) 3)) (* 1/54 (pow (fabs x) 3)))) (pow s 3)))) (+ (* -1/27 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/18 (/ (pow (fabs x) 2) (pow s 2))) (* 1/9 (/ (fabs x) s)))))> |
#<alt 1/3> |
#<alt (+ 1/3 (* -1/9 (/ (fabs x) s)))> |
#<alt (+ 1/3 (* -1 (/ (- (+ (* -1/27 (/ (pow (fabs x) 2) s)) (* 1/18 (/ (pow (fabs x) 2) s))) (* -1/9 (fabs x))) s)))> |
#<alt (+ 1/3 (* -1 (/ (- (* -1 (/ (- (+ (* -1/54 (/ (pow (fabs x) 3) s)) (+ (* 1/54 (/ (pow (fabs x) 3) s)) (* 1/3 (/ (* (fabs x) (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2)))) s)))) (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2)))) s)) (* -1/9 (fabs x))) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt (+ 2 (exp (/ (fabs x) s)))> |
#<alt 3> |
#<alt (+ 3 (/ (fabs x) s))> |
#<alt (+ 3 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))> |
#<alt (+ 3 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))))> |
#<alt 3> |
#<alt (+ 3 (/ (fabs x) s))> |
#<alt (+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s)))> |
#<alt (+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s)))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | s | @ | 0 | (/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
| 3.0ms | x | @ | -inf | (/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s) |
| 2.0ms | x | @ | -inf | (/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
| 2.0ms | x | @ | inf | (/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
| 2.0ms | x | @ | -inf | (/ (exp (/ (neg (fabs x)) s)) (* s 4)) |
| 1× | batch-egg-rewrite |
| 4408× | /-lowering-/.f32 |
| 4408× | /-lowering-/.f64 |
| 4140× | *-lowering-*.f32 |
| 4140× | *-lowering-*.f64 |
| 2092× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 129 |
| 1 | 170 | 122 |
| 2 | 1254 | 122 |
| 0 | 8374 | 122 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ 1 s) (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
(/ 1 s) |
(+ 2 (* 2 (cosh (/ (fabs x) s)))) |
(* 2 (cosh (/ (fabs x) s))) |
(/ 1/4 s) |
(/ (exp (/ (neg (fabs x)) s)) (* s 4)) |
(exp (/ (neg (fabs x)) s)) |
(/ (neg (fabs x)) s) |
(fabs x) |
(/ (/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) s) |
(/ 1 (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
(/ (/ 1 s) (+ (exp (neg (/ (fabs x) s))) (/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2))))) |
(+ (exp (neg (/ (fabs x) s))) (/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2)))) |
(/ 1 (/ 1 (+ (exp (/ (fabs x) s)) 2))) |
(cosh (/ (fabs x) s)) |
(neg (fabs x)) |
(/ 1 (+ (exp (/ (fabs x) s)) 2)) |
(+ (exp (/ (fabs x) s)) 2) |
| Outputs |
|---|
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(exp.f32 (*.f32 (log.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32))) |
(exp.f32 (+.f32 (*.f32 (log.f32 s) #s(literal -1 binary32)) (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)))) |
(exp.f32 (+.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)) (*.f32 (log.f32 s) #s(literal -1 binary32)))) |
(pow.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (neg.f32 s) (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(-.f32 (/.f32 #s(literal 0 binary32) s) (/.f32 (/.f32 #s(literal -1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (/.f32 (/.f32 #s(literal -1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s))) |
(/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 s) (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 s (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 (neg.f32 s))) |
(/.f32 #s(literal -1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (neg.f32 s))) |
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)) |
(/.f32 #s(literal -1 binary32) (*.f32 s (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (neg.f32 s) (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32)))) |
(/.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 (/.f32 #s(literal -1 binary32) s) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))) |
(/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s)) |
(/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 (neg.f32 (neg.f32 s)))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)) (neg.f32 s)) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32)) (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal -1 binary32))) (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1 binary32))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(*.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 #s(literal -1 binary32) s)) |
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 (/.f32 #s(literal -1 binary32) s) #s(literal 1 binary32))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.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 2 binary32))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.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 2 binary32))))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))) (-.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.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 2 binary32))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32))))) |
(*.f32 (pow.f32 (/.f32 s #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) s)) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 2 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))))) |
(*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.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 2 binary32))))))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
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(/.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)) |
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(/.f32 (+.f32 (exp.f32 (*.f32 (neg.f32 (/.f32 (fabs.f32 x) s)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 2 binary32)) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
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(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
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(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)) |
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(/.f32 (-.f32 #s(literal 4 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/.f32 (-.f32 (*.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))) (*.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal 4 binary32))) (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 8 binary32)))) (neg.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal -4 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 8 binary32)))) (neg.f32 (neg.f32 (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal -4 binary32)))) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)))))) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (*.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 (*.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal 2 binary32))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 (*.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(*.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(*.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) #s(literal 1 binary32))) |
(*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))) |
(*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal -4 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) |
(*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 8 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal -4 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32)))) |
(*.f32 (pow.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32))) #s(literal 8 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal 4 binary32)) (*.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 2 binary32))) #s(literal -4 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal -2 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
| 1× | egg-herbie |
| 2304× | +-lowering-+.f64 |
| 2304× | +-lowering-+.f32 |
| 2264× | *-lowering-*.f32 |
| 2264× | *-lowering-*.f64 |
| 2018× | sum4-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 388 | 4856 |
| 1 | 1280 | 4425 |
| 2 | 4993 | 4068 |
| 0 | 9189 | 4068 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s)) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(/ 1 s) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
4 |
(+ 4 (/ (pow (fabs x) 2) (pow s 2))) |
(+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))) |
4 |
(+ 4 (/ (pow (fabs x) 2) (pow s 2))) |
(+ 4 (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 4 (+ (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (+ (* -1/2 (/ (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s)) (+ (* -1/6 (/ (pow (fabs x) 4) s)) (/ (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) s)))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
(+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))) |
2 |
(+ 2 (/ (pow (fabs x) 2) (pow s 2))) |
(+ 2 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 2 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))) |
2 |
(+ 2 (/ (pow (fabs x) 2) (pow s 2))) |
(+ 2 (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (+ (* -1/2 (/ (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s)) (+ (* -1/6 (/ (pow (fabs x) 4) s)) (/ (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) s)))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(* 1/4 (/ (exp (* -1 (/ (fabs x) s))) s)) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/4 (/ (fabs x) s))) s) |
(/ (+ 1/4 (+ (* -1/4 (/ (fabs x) s)) (* 1/8 (/ (pow (fabs x) 2) (pow s 2))))) s) |
(/ (+ 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)))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/4 (/ (fabs x) s)) 1/4) s)) |
(* -1 (/ (- (* -1 (/ (+ (* -1/4 (fabs x)) (* 1/8 (/ (pow (fabs x) 2) s))) s)) 1/4) s)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (pow (fabs x) 2)) (* 1/24 (/ (pow (fabs x) 3) s))) s)) (* -1/4 (fabs x))) s)) 1/4) s)) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
(exp (* -1 (/ (fabs x) s))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
1 |
(+ 1 (* -1 (/ (fabs x) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(* -1 (/ (fabs x) s)) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s)) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) (pow s 2)))) (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (fabs x) (* -1 (fabs x))) 2) (pow s 2))) (+ (* 1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* -1/16 (/ (+ (fabs x) (* -1 (fabs x))) s)) 1/4) s)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (fabs x) (* -1 (fabs x))) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2))))) (+ (* -1/64 (* (pow (fabs x) 2) (+ (fabs x) (* -1 (fabs x))))) (* 1/16 (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) s)) (+ (* -1/64 (pow (+ (fabs x) (* -1 (fabs x))) 2)) (* 1/16 (pow (fabs x) 2)))) s)) (* 1/16 (+ (fabs x) (* -1 (fabs x))))) s)) 1/4) s)) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
4 |
(+ 4 (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s))) |
(+ 4 (+ (* -1 (/ (fabs x) s)) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 4 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2))))))) |
4 |
(+ 4 (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s))) |
(+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) s)))) s))) |
(+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3))) s)) (pow (fabs x) 2)) s)))) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
3 |
(+ 3 (/ (fabs x) s)) |
(+ 3 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))) |
(+ 3 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))) |
3 |
(+ 3 (/ (fabs x) s)) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
1 |
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
1 |
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(* -1 (fabs x)) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
1/3 |
(+ 1/3 (* -1/9 (/ (fabs x) s))) |
(- (+ 1/3 (* -1 (/ (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2))) (pow s 2)))) (* 1/9 (/ (fabs x) s))) |
(- (+ 1/3 (* -1 (/ (+ (* -1/3 (* (fabs x) (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2))))) (+ (* -1/54 (pow (fabs x) 3)) (* 1/54 (pow (fabs x) 3)))) (pow s 3)))) (+ (* -1/27 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/18 (/ (pow (fabs x) 2) (pow s 2))) (* 1/9 (/ (fabs x) s))))) |
1/3 |
(+ 1/3 (* -1/9 (/ (fabs x) s))) |
(+ 1/3 (* -1 (/ (- (+ (* -1/27 (/ (pow (fabs x) 2) s)) (* 1/18 (/ (pow (fabs x) 2) s))) (* -1/9 (fabs x))) s))) |
(+ 1/3 (* -1 (/ (- (* -1 (/ (- (+ (* -1/54 (/ (pow (fabs x) 3) s)) (+ (* 1/54 (/ (pow (fabs x) 3) s)) (* 1/3 (/ (* (fabs x) (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2)))) s)))) (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2)))) s)) (* -1/9 (fabs x))) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
3 |
(+ 3 (/ (fabs x) s)) |
(+ 3 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))) |
(+ 3 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))) |
3 |
(+ 3 (/ (fabs x) s)) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
| Outputs |
|---|
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))))) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
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(/ 1/4 s) |
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4 |
#s(literal 4 binary32) |
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4 |
#s(literal 4 binary32) |
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2 |
#s(literal 2 binary32) |
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2 |
#s(literal 2 binary32) |
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(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) |
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(exp (* -1 (/ (fabs x) s))) |
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(exp (* -1 (/ (fabs x) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) |
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(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) |
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(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) |
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(exp (* -1 (/ (fabs x) s))) |
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(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (fabs x) s))) |
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(+ 1 (+ (* -1 (/ (fabs x) s)) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
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(+ 1 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
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1 |
#s(literal 1 binary32) |
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(-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)) |
(fabs x) |
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(fabs x) |
(fabs.f32 x) |
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(fabs.f32 x) |
(fabs x) |
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(fabs x) |
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(fabs x) |
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(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
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(/ 1/4 s) |
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(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
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(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
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(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
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(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
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(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
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(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))) |
(+ 2 (+ (exp (neg (/ (fabs x) s))) (exp (/ (fabs x) s)))) |
(+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))))) |
4 |
#s(literal 4 binary32) |
(+ 4 (+ (* -1 (/ (fabs x) s)) (/ (fabs x) s))) |
#s(literal 4 binary32) |
(+ 4 (+ (* -1 (/ (fabs x) s)) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2))))) |
(+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) |
(+ 4 (+ (* -1 (/ (fabs x) s)) (+ (* -1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (fabs x) s) (/ (pow (fabs x) 2) (pow s 2))))))) |
(+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) |
4 |
#s(literal 4 binary32) |
(+ 4 (* -1 (/ (+ (fabs x) (* -1 (fabs x))) s))) |
#s(literal 4 binary32) |
(+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) s)))) s))) |
(+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) |
(+ 4 (* -1 (/ (+ (fabs x) (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3))) s)) (pow (fabs x) 2)) s)))) s))) |
(+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
3 |
#s(literal 3 binary32) |
(+ 3 (/ (fabs x) s)) |
(+.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) |
(+ 3 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))) |
(+.f32 (/.f32 (fabs.f32 x) s) (+.f32 #s(literal 3 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32)))) |
(+ 3 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))) |
(+.f32 #s(literal 3 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (+.f32 (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32)) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/6 binary32)) s))))) |
3 |
#s(literal 3 binary32) |
(+ 3 (/ (fabs x) s)) |
(+.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(-.f32 #s(literal 3 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s)) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(+.f32 #s(literal 3 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) s)) s)) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 0 binary32) (*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))))))) (pow.f32 s #s(literal 4 binary32)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) |
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) |
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) |
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s)))) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(* -1 (fabs x)) |
(-.f32 #s(literal 0 binary32) (fabs.f32 x)) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (+ 2 (exp (/ (fabs x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* -1/9 (/ (fabs x) s))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/9 binary32))) |
(- (+ 1/3 (* -1 (/ (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2))) (pow s 2)))) (* 1/9 (/ (fabs x) s))) |
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/54 binary32)) (*.f32 s s)) (+.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/9 binary32)))) |
(- (+ 1/3 (* -1 (/ (+ (* -1/3 (* (fabs x) (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2))))) (+ (* -1/54 (pow (fabs x) 3)) (* 1/54 (pow (fabs x) 3)))) (pow s 3)))) (+ (* -1/27 (/ (pow (fabs x) 2) (pow s 2))) (+ (* 1/18 (/ (pow (fabs x) 2) (pow s 2))) (* 1/9 (/ (fabs x) s))))) |
(-.f32 (-.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/54 binary32)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))) (+.f32 (*.f32 (/.f32 (fabs.f32 x) s) #s(literal 1/9 binary32)) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/54 binary32)))) |
1/3 |
#s(literal 1/3 binary32) |
(+ 1/3 (* -1/9 (/ (fabs x) s))) |
(+.f32 #s(literal 1/3 binary32) (*.f32 (/.f32 (fabs.f32 x) s) #s(literal -1/9 binary32))) |
(+ 1/3 (* -1 (/ (- (+ (* -1/27 (/ (pow (fabs x) 2) s)) (* 1/18 (/ (pow (fabs x) 2) s))) (* -1/9 (fabs x))) s))) |
(+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/54 binary32)) s) (*.f32 (fabs.f32 x) #s(literal -1/9 binary32))) s)) |
(+ 1/3 (* -1 (/ (- (* -1 (/ (- (+ (* -1/54 (/ (pow (fabs x) 3) s)) (+ (* 1/54 (/ (pow (fabs x) 3) s)) (* 1/3 (/ (* (fabs x) (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2)))) s)))) (+ (* -1/27 (pow (fabs x) 2)) (* 1/18 (pow (fabs x) 2)))) s)) (* -1/9 (fabs x))) s))) |
(+.f32 #s(literal 1/3 binary32) (/.f32 (+.f32 (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (fabs.f32 x)) (*.f32 (*.f32 x x) #s(literal 1/54 binary32))) s) #s(literal 0 binary32)) (*.f32 (*.f32 x x) #s(literal -1/54 binary32))) s) (*.f32 (fabs.f32 x) #s(literal -1/9 binary32))) s)) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
(+ 2 (exp (/ (fabs x) s))) |
(+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) |
3 |
#s(literal 3 binary32) |
(+ 3 (/ (fabs x) s)) |
(+.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) |
(+ 3 (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s))) |
(+.f32 (/.f32 (fabs.f32 x) s) (+.f32 #s(literal 3 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32)))) |
(+ 3 (+ (* 1/6 (/ (pow (fabs x) 3) (pow s 3))) (+ (* 1/2 (/ (pow (fabs x) 2) (pow s 2))) (/ (fabs x) s)))) |
(+.f32 #s(literal 3 binary32) (+.f32 (/.f32 (fabs.f32 x) s) (+.f32 (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32)) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) (/.f32 (*.f32 (fabs.f32 x) #s(literal 1/6 binary32)) s))))) |
3 |
#s(literal 3 binary32) |
(+ 3 (/ (fabs x) s)) |
(+.f32 (/.f32 (fabs.f32 x) s) #s(literal 3 binary32)) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (pow (fabs x) 2) s))) s))) |
(-.f32 #s(literal 3 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) (fabs.f32 x)) s)) |
(+ 3 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/6 (/ (pow (fabs x) 3) s)) (* 1/2 (pow (fabs x) 2))) s))) s))) |
(+.f32 #s(literal 3 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (/.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) s)) s)) s)) |
Compiled 49295 to 3190 computations (93.5% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1754 | 11 | 1765 |
| Fresh | 4 | 0 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1759 | 15 | 1774 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s) |
| ▶ | 29.7% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
| ▶ | 72.6% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
| ✓ | 99.8% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) |
| 29.7% | (/.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) | |
| 72.6% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) | |
| ✓ | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) |
| 34.4% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) | |
| ✓ | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
| 95.6% | (/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s) | |
| ▶ | 25.3% | (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
| 99.8% | (/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s) | |
| 98.0% | (/.f32 (exp.f32 (*.f32 (log.f32 s) #s(literal -1 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) | |
| ✓ | 25.7% | (/.f32 #s(literal 1/4 binary32) s) |
| ▶ | 24.3% | (exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32))) |
Compiled 665 to 377 computations (43.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f32 s #s(literal 1/4 binary32)) |
| ✓ | cost-diff | 0 | (log.f32 (/.f32 s #s(literal 1/4 binary32))) |
| ✓ | cost-diff | 32 | (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)) |
| ✓ | cost-diff | 6464 | (exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32))) |
| ✓ | cost-diff | 896 | (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))) |
| ✓ | cost-diff | 896 | (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) |
| ✓ | cost-diff | 896 | (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) |
| ✓ | cost-diff | 1024 | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 (*.f32 x x) s) s) |
| ✓ | cost-diff | 0 | (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 (*.f32 x x) s) s) |
| ✓ | cost-diff | 0 | (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) |
| ✓ | cost-diff | 0 | (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
| ✓ | cost-diff | 0 | (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) |
| ✓ | cost-diff | 6464 | (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
| ✓ | cost-diff | 6464 | (/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s) |
| 3860× | *-lowering-*.f32 |
| 3860× | *-lowering-*.f64 |
| 1864× | times-frac |
| 1228× | +-lowering-+.f64 |
| 1228× | +-lowering-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 551 |
| 1 | 115 | 430 |
| 2 | 313 | 349 |
| 3 | 799 | 346 |
| 4 | 2525 | 339 |
| 0 | 8413 | 339 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) s) |
(pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) |
(pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) |
(+ 2 (* 2 (cosh (/ (fabs x) s)))) |
2 |
(* 2 (cosh (/ (fabs x) s))) |
(cosh (/ (fabs x) s)) |
(/ (fabs x) s) |
(fabs x) |
x |
s |
-1/2 |
(/ (+ 1/4 (* -1/16 (/ (/ (* x x) s) s))) s) |
(+ 1/4 (* -1/16 (/ (/ (* x x) s) s))) |
1/4 |
(* -1/16 (/ (/ (* x x) s) s)) |
-1/16 |
(/ (/ (* x x) s) s) |
(/ (* x x) s) |
(* x x) |
x |
s |
(/ (/ 1 (+ (/ (/ (* x x) s) s) 4)) s) |
(/ 1 (+ (/ (/ (* x x) s) s) 4)) |
1 |
(+ (/ (/ (* x x) s) s) 4) |
(/ (/ (* x x) s) s) |
(/ (* x x) s) |
(* x x) |
x |
s |
4 |
(/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) s) |
(/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) |
1 |
(- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))) |
(+ (/ (/ (* x x) s) s) 4) |
(/ (/ (* x x) s) s) |
(/ (* x x) s) |
(* x x) |
x |
s |
4 |
(/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))) |
(+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) |
(+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) |
(/ (* 1/4 (* (* x x) (* x x))) s) |
(* 1/4 (* (* x x) (* x x))) |
1/4 |
(* (* x x) (* x x)) |
(/ (* -1/6 (* (* x x) (* x x))) s) |
(* -1/6 (* (* x x) (* x x))) |
-1/6 |
(+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0) |
(/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) |
(+ (* -1/6 (* (* x x) (* x x))) 0) |
0 |
(* s (* s s)) |
(* s s) |
(exp (* (log (/ s 1/4)) -1)) |
(* (log (/ s 1/4)) -1) |
(log (/ s 1/4)) |
(/ s 1/4) |
s |
1/4 |
-1 |
| Outputs |
|---|
(/ (pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) s) |
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) s) |
(pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) |
(/.f32 #s(literal 1/2 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) |
(pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) |
(pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) |
(+ 2 (* 2 (cosh (/ (fabs x) s)))) |
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
2 |
#s(literal 2 binary32) |
(* 2 (cosh (/ (fabs x) s))) |
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) |
(cosh (/ (fabs x) s)) |
(cosh.f32 (/.f32 (fabs.f32 x) s)) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(fabs x) |
(fabs.f32 x) |
x |
s |
-1/2 |
#s(literal -1/2 binary32) |
(/ (+ 1/4 (* -1/16 (/ (/ (* x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(+ 1/4 (* -1/16 (/ (/ (* x x) s) s))) |
(+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) |
1/4 |
#s(literal 1/4 binary32) |
(* -1/16 (/ (/ (* x x) s) s)) |
(*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) |
-1/16 |
#s(literal -1/16 binary32) |
(/ (/ (* x x) s) s) |
(/.f32 (/.f32 (*.f32 x x) s) s) |
(/ (* x x) s) |
(/.f32 (*.f32 x x) s) |
(* x x) |
(*.f32 x x) |
x |
s |
(/ (/ 1 (+ (/ (/ (* x x) s) s) 4)) s) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1 binary32)) (*.f32 s #s(literal 4 binary32)))) |
(/ 1 (+ (/ (/ (* x x) s) s) 4)) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
1 |
#s(literal 1 binary32) |
(+ (/ (/ (* x x) s) s) 4) |
(+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) |
(/ (/ (* x x) s) s) |
(/.f32 (/.f32 (*.f32 x x) s) s) |
(/ (* x x) s) |
(/.f32 (*.f32 x x) s) |
(* x x) |
(*.f32 x x) |
x |
s |
4 |
#s(literal 4 binary32) |
(/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) s) |
(/.f32 #s(literal 1 binary32) (+.f32 (*.f32 s #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 x x) (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/12 binary32)))) (*.f32 s s)))))) |
(/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/12 binary32)))) s) (*.f32 s (*.f32 s s))))) |
1 |
#s(literal 1 binary32) |
(- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))) |
(+.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/12 binary32)))) s) (*.f32 s (*.f32 s s)))) |
(+ (/ (/ (* x x) s) s) 4) |
(+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) |
(/ (/ (* x x) s) s) |
(/.f32 (/.f32 (*.f32 x x) s) s) |
(/ (* x x) s) |
(/.f32 (*.f32 x x) s) |
(* x x) |
(*.f32 x x) |
x |
s |
4 |
#s(literal 4 binary32) |
(/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))) |
(/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/12 binary32))) s) (*.f32 s (*.f32 s s))) |
(+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) |
(/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/12 binary32))) s) |
(+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) |
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/12 binary32)))) s) |
(/ (* 1/4 (* (* x x) (* x x))) s) |
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal 1/4 binary32) (*.f32 x x)))) s) |
(* 1/4 (* (* x x) (* x x))) |
(*.f32 x (*.f32 x (*.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
1/4 |
#s(literal 1/4 binary32) |
(* (* x x) (* x x)) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(/ (* -1/6 (* (* x x) (* x x))) s) |
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) s) |
(* -1/6 (* (* x x) (* x x))) |
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) |
-1/6 |
#s(literal -1/6 binary32) |
(+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0) |
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) s) |
(/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) |
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) s) |
(+ (* -1/6 (* (* x x) (* x x))) 0) |
(*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) |
0 |
#s(literal 0 binary32) |
(* s (* s s)) |
(*.f32 s (*.f32 s s)) |
(* s s) |
(*.f32 s s) |
(exp (* (log (/ s 1/4)) -1)) |
(/.f32 #s(literal 1/4 binary32) s) |
(* (log (/ s 1/4)) -1) |
(neg.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32)))) |
(log (/ s 1/4)) |
(log.f32 (/.f32 s #s(literal 1/4 binary32))) |
(/ s 1/4) |
(/.f32 s #s(literal 1/4 binary32)) |
s |
1/4 |
#s(literal 1/4 binary32) |
-1 |
#s(literal -1 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f32 s #s(literal 1/4 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32)) |
| ✓ | accuracy | 100.0% | (log.f32 (/.f32 s #s(literal 1/4 binary32))) |
| ✓ | accuracy | 90.5% | (exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32))) |
| ✓ | accuracy | 90.3% | (/.f32 (*.f32 x x) s) |
| ✓ | accuracy | 82.6% | (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))) |
| ✓ | accuracy | 69.1% | (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) |
| ✓ | accuracy | 56.2% | (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) |
| ✓ | accuracy | 99.3% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
| ✓ | accuracy | 94.9% | (/.f32 (/.f32 (*.f32 x x) s) s) |
| ✓ | accuracy | 91.8% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
| ✓ | accuracy | 90.3% | (/.f32 (*.f32 x x) s) |
| ✓ | accuracy | 99.9% | (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
| ✓ | accuracy | 99.7% | (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) |
| ✓ | accuracy | 94.9% | (/.f32 (/.f32 (*.f32 x x) s) s) |
| ✓ | accuracy | 90.3% | (/.f32 (*.f32 x x) s) |
| ✓ | accuracy | 100.0% | (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) |
| ✓ | accuracy | 100.0% | (cosh.f32 (/.f32 (fabs.f32 x) s)) |
| ✓ | accuracy | 99.9% | (/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s) |
| ✓ | accuracy | 99.9% | (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
| 202.0ms | 256× | 0 | valid |
Compiled 603 to 49 computations (91.9% saved)
ival-cosh: 47.0ms (33.2% of total)ival-div: 30.0ms (21.2% of total)ival-pow: 22.0ms (15.5% of total)ival-mult: 18.0ms (12.7% of total)ival-add: 10.0ms (7.1% of total)ival-log: 4.0ms (2.8% of total)...c/correct-round.rkt:119:19: 4.0ms (2.8% of total)ival-exp: 3.0ms (2.1% of total)ival-fabs: 2.0ms (1.4% of total)ival-sub: 1.0ms (0.7% of total)const: 1.0ms (0.7% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) s)> |
#<alt (pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2)> |
#<alt (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2)> |
#<alt (+ 2 (* 2 (cosh (/ (fabs x) s))))> |
#<alt (/ (+ 1/4 (* -1/16 (/ (/ (* x x) s) s))) s)> |
#<alt (+ 1/4 (* -1/16 (/ (/ (* x x) s) s)))> |
#<alt (* -1/16 (/ (/ (* x x) s) s))> |
#<alt (/ (/ (* x x) s) s)> |
#<alt (/ (/ 1 (+ (/ (/ (* x x) s) s) 4)) s)> |
#<alt (/ 1 (+ (/ (/ (* x x) s) s) 4))> |
#<alt (+ (/ (/ (* x x) s) s) 4)> |
#<alt (/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) s)> |
#<alt (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))))> |
#<alt (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))> |
#<alt (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))> |
#<alt (exp (* (log (/ s 1/4)) -1))> |
#<alt (* (log (/ s 1/4)) -1)> |
#<alt (log (/ s 1/4))> |
#<alt (/ s 1/4)> |
#<alt (cosh (/ (fabs x) s))> |
#<alt (/ (* x x) s)> |
#<alt (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0))> |
#<alt (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s))> |
| Outputs |
|---|
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 1/2 (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))))> |
#<alt (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (+ (* -1/64 (pow (fabs x) 4)) (* 1/256 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 1/2 (+ (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 1/2 (+ (* -1 (/ (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (+ (* -1/64 (/ (pow (fabs x) 4) s)) (+ (* 1/256 (/ (pow (fabs x) 4) s)) (* 1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) (pow s 3))) (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow (fabs x) 2) (pow s 2)))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow (fabs x) 2) (pow s 2)))> |
#<alt (+ 4 (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (+ (* -1/2 (/ (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s)) (+ (* -1/6 (/ (pow (fabs x) 4) s)) (/ (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) s)))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (/ 1/4 s)> |
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 3)))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 3)))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3)))))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 3)))> |
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))> |
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))> |
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2)))))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))> |
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))> |
#<alt (/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (* -1/16 (/ (pow x 2) (pow s 2)))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ 1/4 s)> |
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 7))) (* 1/64 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))> |
#<alt (/ s (pow x 2))> |
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))> |
#<alt (* s (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))> |
#<alt (* s (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/256 (/ (pow x 6) (pow s 6))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))> |
#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 6))) (* 1/64 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))> |
#<alt (/ (pow s 2) (pow x 2))> |
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))> |
#<alt (/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2))> |
#<alt (/ (pow s 2) (pow x 2))> |
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))> |
#<alt (/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2))> |
#<alt (/ (pow s 2) (pow x 2))> |
#<alt (* (pow s 2) (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))> |
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))> |
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))> |
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))> |
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (/ 1/4 s)> |
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))> |
#<alt (* 12 (/ (pow s 3) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4))> |
#<alt (* 12 (/ (pow s 3) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4))> |
#<alt (* -1 (/ (pow s 3) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))> |
#<alt (* (pow s 3) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt (* (pow s 3) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt (* (pow s 3) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3)))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))))) (pow s 6))) (+ (* -1/64 (/ (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 6))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))) 1/4) s))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))> |
#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))> |
#<alt (* 12 (/ (pow s 4) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4))> |
#<alt (* 12 (/ (pow s 4) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4))> |
#<alt (* -1 (/ (pow s 4) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))> |
#<alt (* (pow s 4) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt (* (pow s 4) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt (* (pow s 4) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3)))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))))))) (* -1/64 (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))))) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2)))))> |
#<alt (+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2)))))> |
#<alt (* 1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* 1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)))> |
#<alt (/ (- (* (pow s 2) (pow x 2)) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4))> |
#<alt (/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4))> |
#<alt (/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2))))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (+ (* -1/4 (/ (pow x 4) (pow s 4))) (+ (* 1/3 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2)))))> |
#<alt (+ 4 (+ (* -1/4 (/ (pow x 4) (pow s 4))) (+ (* 1/3 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2)))))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4)))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4)))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4)))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4)))> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (+ (log 4) (log s)))> |
#<alt (* -1 (+ (log 4) (log s)))> |
#<alt (* -1 (+ (log 4) (log s)))> |
#<alt (* -1 (+ (log 4) (log s)))> |
#<alt (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))> |
#<alt (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))> |
#<alt (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))> |
#<alt (* -1 (+ (log 4) (* -1 (log (/ 1 s)))))> |
#<alt (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))> |
#<alt (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))> |
#<alt (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))> |
#<alt (* -1 (+ (log -4) (* -1 (log (/ -1 s)))))> |
#<alt (+ (log 4) (log s))> |
#<alt (+ (log 4) (log s))> |
#<alt (+ (log 4) (log s))> |
#<alt (+ (log 4) (log s))> |
#<alt (+ (log 4) (* -1 (log (/ 1 s))))> |
#<alt (+ (log 4) (* -1 (log (/ 1 s))))> |
#<alt (+ (log 4) (* -1 (log (/ 1 s))))> |
#<alt (+ (log 4) (* -1 (log (/ 1 s))))> |
#<alt (+ (log -4) (* -1 (log (/ -1 s))))> |
#<alt (+ (log -4) (* -1 (log (/ -1 s))))> |
#<alt (+ (log -4) (* -1 (log (/ -1 s))))> |
#<alt (+ (log -4) (* -1 (log (/ -1 s))))> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 4 s)> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (* -1/12 (/ (pow x 4) s))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (* 1/12 (/ (pow x 4) s))> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s)> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s))> |
126 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | s | @ | 0 | (* (log (/ s 1/4)) -1) |
| 13.0ms | s | @ | -inf | (* (log (/ s 1/4)) -1) |
| 13.0ms | s | @ | 0 | (/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) s) |
| 8.0ms | s | @ | -inf | (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) |
| 7.0ms | s | @ | inf | (* (log (/ s 1/4)) -1) |
| 1× | batch-egg-rewrite |
| 3276× | *-lowering-*.f32 |
| 3276× | *-lowering-*.f64 |
| 2274× | fma-lowering-fma.f32 |
| 2274× | fma-lowering-fma.f64 |
| 1772× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 352 |
| 1 | 327 | 261 |
| 2 | 3529 | 235 |
| 0 | 8133 | 235 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) s) |
(pow (pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) 2) |
(pow (+ 2 (* 2 (cosh (/ (fabs x) s)))) -1/2) |
(+ 2 (* 2 (cosh (/ (fabs x) s)))) |
(/ (+ 1/4 (* -1/16 (/ (/ (* x x) s) s))) s) |
(+ 1/4 (* -1/16 (/ (/ (* x x) s) s))) |
(* -1/16 (/ (/ (* x x) s) s)) |
(/ (/ (* x x) s) s) |
(/ (/ 1 (+ (/ (/ (* x x) s) s) 4)) s) |
(/ 1 (+ (/ (/ (* x x) s) s) 4)) |
(+ (/ (/ (* x x) s) s) 4) |
(/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) s) |
(/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) |
(- (+ (/ (/ (* x x) s) s) 4) (/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))) |
(/ (+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))) |
(exp (* (log (/ s 1/4)) -1)) |
(* (log (/ s 1/4)) -1) |
(log (/ s 1/4)) |
(/ s 1/4) |
(cosh (/ (fabs x) s)) |
(/ (* x x) s) |
(+ (+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) |
(+ (/ (* 1/4 (* (* x x) (* x x))) s) (/ (* -1/6 (* (* x x) (* x x))) s)) |
| Outputs |
|---|
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s))) |
(neg.f32 (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) s)) |
(exp.f32 (*.f32 (log.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) s) #s(literal -1 binary32)) |
(pow.f32 (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) |
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32))) |
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(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1/36 binary32)) (*.f32 s s)) (*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s))))) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s))) |
(/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) |
(*.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (*.f32 s s))) |
(*.f32 (+.f32 (*.f32 #s(literal 1/64 binary32) (*.f32 (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s))) (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)))) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s))) (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s))))) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)))) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (-.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))))) |
(*.f32 (*.f32 (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32)))) |
(*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32)) |
| 1× | egg-herbie |
| 4248× | *-lowering-*.f32 |
| 4248× | *-lowering-*.f64 |
| 2848× | +-lowering-+.f64 |
| 2848× | +-lowering-+.f32 |
| 1820× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 597 | 7346 |
| 1 | 1959 | 6893 |
| 2 | 7383 | 6891 |
| 0 | 8147 | 6891 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s)) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(sqrt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
1/2 |
(+ 1/2 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 1/2 (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))) |
(+ 1/2 (+ (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (+ (* -1/64 (pow (fabs x) 4)) (* 1/256 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/16 (/ (pow (fabs x) 2) (pow s 2))) (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))))) |
1/2 |
(+ 1/2 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 1/2 (+ (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1/2 (+ (* -1 (/ (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (+ (* -1/64 (/ (pow (fabs x) 4) s)) (+ (* 1/256 (/ (pow (fabs x) 4) s)) (* 1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) (pow s 3))) (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
4 |
(+ 4 (/ (pow (fabs x) 2) (pow s 2))) |
(+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 4 (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2))))) |
4 |
(+ 4 (/ (pow (fabs x) 2) (pow s 2))) |
(+ 4 (+ (* 1/2 (/ (pow (fabs x) 3) (pow s 3))) (+ (/ (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) (pow s 3)) (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 4 (+ (* -1 (/ (+ (* -1 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (+ (* -1/2 (/ (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))) s)) (+ (* -1/6 (/ (pow (fabs x) 4) s)) (/ (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) s)))) (pow s 3))) (/ (pow (fabs x) 2) (pow s 2)))) |
(/ 1/4 s) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
(* -1/16 (/ (pow x 2) (pow s 3))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ 1/4 s) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 7))) (* 1/64 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
(/ s (pow x 2)) |
(/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2)) |
(/ s (pow x 2)) |
(/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2)) |
(/ s (pow x 2)) |
(* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* s (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(* s (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s)) |
(* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/256 (/ (pow x 6) (pow s 6))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2)))))) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 6))) (* 1/64 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2)))))) |
(/ (pow s 2) (pow x 2)) |
(/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2)) |
(/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2)) |
(/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2)) |
(/ (pow s 2) (pow x 2)) |
(/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2)) |
(/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2)) |
(/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2)) |
(/ (pow s 2) (pow x 2)) |
(* (pow s 2) (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow s 2) (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(/ (pow x 2) (pow s 2)) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(/ (pow x 2) (pow s 2)) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(/ (pow x 2) (pow s 2)) |
(/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2)) |
(/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2)) |
(/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2)) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(/ 1/4 s) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
(* 12 (/ (pow s 3) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4)) |
(* 12 (/ (pow s 3) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4)) |
(* -1 (/ (pow s 3) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))) |
(* (pow s 3) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
(* (pow s 3) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
(* (pow s 3) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3)))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s)) |
(* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))))) (pow s 6))) (+ (* -1/64 (/ (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 6))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))) 1/4) s)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2)))))) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2)))))) |
(* 12 (/ (pow s 4) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4)) |
(* 12 (/ (pow s 4) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4)) |
(* -1 (/ (pow s 4) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))) |
(* (pow s 4) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
(* (pow s 4) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
(* (pow s 4) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3)))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))))))) (* -1/64 (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))))) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2))))) |
(+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2))))) |
(* 1/12 (/ (pow x 4) (pow s 4))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* 1/12 (/ (pow x 4) (pow s 4))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) |
(/ (- (* (pow s 2) (pow x 2)) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4)) |
(/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4)) |
(/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4)) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (+ (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2)))) |
(+ 4 (+ (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2)))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (+ (* -1/4 (/ (pow x 4) (pow s 4))) (+ (* 1/3 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2))))) |
(+ 4 (+ (* -1/4 (/ (pow x 4) (pow s 4))) (+ (* 1/3 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2))))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(/ 1/4 s) |
(* -1 (+ (log 4) (log s))) |
(* -1 (+ (log 4) (log s))) |
(* -1 (+ (log 4) (log s))) |
(* -1 (+ (log 4) (log s))) |
(* -1 (+ (log 4) (* -1 (log (/ 1 s))))) |
(* -1 (+ (log 4) (* -1 (log (/ 1 s))))) |
(* -1 (+ (log 4) (* -1 (log (/ 1 s))))) |
(* -1 (+ (log 4) (* -1 (log (/ 1 s))))) |
(* -1 (+ (log -4) (* -1 (log (/ -1 s))))) |
(* -1 (+ (log -4) (* -1 (log (/ -1 s))))) |
(* -1 (+ (log -4) (* -1 (log (/ -1 s))))) |
(* -1 (+ (log -4) (* -1 (log (/ -1 s))))) |
(+ (log 4) (log s)) |
(+ (log 4) (log s)) |
(+ (log 4) (log s)) |
(+ (log 4) (log s)) |
(+ (log 4) (* -1 (log (/ 1 s)))) |
(+ (log 4) (* -1 (log (/ 1 s)))) |
(+ (log 4) (* -1 (log (/ 1 s)))) |
(+ (log 4) (* -1 (log (/ 1 s)))) |
(+ (log -4) (* -1 (log (/ -1 s)))) |
(+ (log -4) (* -1 (log (/ -1 s)))) |
(+ (log -4) (* -1 (log (/ -1 s)))) |
(+ (log -4) (* -1 (log (/ -1 s)))) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 4 s) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
1 |
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
1 |
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(* -1/12 (/ (pow x 4) s)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(* 1/12 (/ (pow x 4) s)) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s)) |
| Outputs |
|---|
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) s) |
(/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/16 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s) |
(/.f32 (-.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (*.f32 #s(literal -1/16 binary32) (-.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))))) (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -1/64 binary32))) (pow.f32 s #s(literal 4 binary32)))) (*.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))))) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s)) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) s) |
(* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s)) |
(/.f32 (+.f32 (*.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))) #s(literal -1/4 binary32)) (neg.f32 s)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s)) |
(/.f32 (+.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (-.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/32 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (fabs.f32 x) #s(literal -1/16 binary32)))) (/.f32 (+.f32 (*.f32 (pow.f32 (fabs.f32 x) #s(literal 4 binary32)) #s(literal -1/64 binary32)) (+.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x)) #s(literal 1/32 binary32)) (*.f32 #s(literal -1/16 binary32) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x))))))) s)) (*.f32 s (*.f32 s s)))) #s(literal -1/4 binary32)) (neg.f32 s)) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s))) (+.f32 #s(literal 2 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))))) |
1/4 |
#s(literal 1/4 binary32) |
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) |
(- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/16 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))) (/.f32 (*.f32 x x) (*.f32 s s))))) |
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#s(literal 1/4 binary32) |
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1/2 |
#s(literal 1/2 binary32) |
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1/2 |
#s(literal 1/2 binary32) |
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4 |
#s(literal 4 binary32) |
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4 |
#s(literal 4 binary32) |
(+ 4 (/ (pow (fabs x) 2) (pow s 2))) |
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(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
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(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
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(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
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(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
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(* -1/16 (/ (pow x 2) (pow s 3))) |
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(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
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(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
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(* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/16 (/ 1 (pow s 3))))) |
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(* -1/16 (/ (pow x 2) (pow s 3))) |
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(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
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(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
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(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)) |
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(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
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(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) s) |
1/4 |
#s(literal 1/4 binary32) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
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(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
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(* -1/16 (/ (pow x 2) (pow s 2))) |
(/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
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(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow s 2))))) |
(*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal -1/16 binary32) (*.f32 s s)))) |
(* -1/16 (/ (pow x 2) (pow s 2))) |
(/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/.f32 (+.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) |
(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
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(/ (+ (* -1/16 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)) |
(/.f32 (+.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s (*.f32 s #s(literal 1/4 binary32)))) (*.f32 s s)) |
1/4 |
#s(literal 1/4 binary32) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 x (*.f32 x #s(literal -1/16 binary32))) (*.f32 s s))) |
1/4 |
#s(literal 1/4 binary32) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
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(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
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(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
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(* -1/16 (/ (pow x 2) (pow s 2))) |
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(* -1/16 (/ (pow x 2) (pow s 2))) |
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(* -1/16 (/ (pow x 2) (pow s 2))) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ (pow x 2) (pow s 2)) |
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(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
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(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 7))) (* 1/64 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
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(/ s (pow x 2)) |
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(/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
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(/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
(/.f32 (+.f32 (/.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 16 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x)))) (*.f32 x x)) |
(/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2)) |
(/.f32 (+.f32 (+.f32 (/.f32 (*.f32 (pow.f32 s #s(literal 7 binary32)) #s(literal -64 binary32)) (pow.f32 x #s(literal 6 binary32))) (-.f32 s (/.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal -16 binary32)) (pow.f32 x #s(literal 4 binary32))))) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/ s (pow x 2)) |
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(/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
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(/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
(/.f32 (+.f32 (/.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal 16 binary32)) (pow.f32 x #s(literal 4 binary32))) (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x)))) (*.f32 x x)) |
(/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2)) |
(/.f32 (+.f32 (+.f32 (/.f32 (*.f32 (pow.f32 s #s(literal 7 binary32)) #s(literal -64 binary32)) (pow.f32 x #s(literal 6 binary32))) (-.f32 s (/.f32 (*.f32 (pow.f32 s #s(literal 5 binary32)) #s(literal -16 binary32)) (pow.f32 x #s(literal 4 binary32))))) (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/ s (pow x 2)) |
(/.f32 s (*.f32 x x)) |
(* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2)))) |
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(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
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1/4 |
#s(literal 1/4 binary32) |
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1/4 |
#s(literal 1/4 binary32) |
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1/4 |
#s(literal 1/4 binary32) |
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4 |
#s(literal 4 binary32) |
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(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))))) (*.f32 s (*.f32 s s))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
(+.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (-.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32)))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) (*.f32 (*.f32 x x) #s(literal -1/3 binary32)))) (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))))) (pow.f32 s #s(literal 4 binary32))) (/.f32 (-.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s))) |
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (+.f32 (*.f32 (fabs.f32 x) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 (fabs.f32 x) (*.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (*.f32 s (*.f32 s s)))))) |
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (+.f32 (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal -1/4 binary32)) (*.f32 (fabs.f32 x) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1/2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (fabs.f32 x) #s(literal 4 binary32))) (+.f32 (*.f32 (fabs.f32 x) (*.f32 (*.f32 (fabs.f32 x) (*.f32 x x)) #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 x x)))))) s)) (*.f32 s (*.f32 s s))))) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/12 binary32)) s) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) s)) |
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s)) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* 1/12 (/ (pow x 4) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(/ (+ (* -1/6 (pow x 4)) (* 1/4 (pow x 4))) s) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/6 (pow x 4))) s)) |
(/.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/12 binary32)) s) |
Compiled 54611 to 4079 computations (92.5% saved)
39 alts after pruning (33 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1390 | 29 | 1419 |
| Fresh | 2 | 4 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1395 | 39 | 1434 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s) |
| 61.7% | (/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) | |
| 17.6% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s))))))) s) | |
| 10.7% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (*.f32 s s)) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s))) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (*.f32 s s)))) s) | |
| 24.9% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) | |
| 10.0% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))))) s) | |
| 59.7% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) | |
| 36.4% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) | |
| 30.1% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s)) (*.f32 s (*.f32 s s))))) s) | |
| 38.1% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s) (*.f32 s s)))) s) | |
| ▶ | 29.7% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
| 17.1% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) | |
| ▶ | 30.8% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
| ✓ | 29.7% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
| 29.7% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) | |
| 32.4% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))))))) s) | |
| 30.4% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32)))))) s) | |
| 29.4% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) | |
| 72.6% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) | |
| ▶ | 72.9% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
| 72.9% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) | |
| 72.9% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) | |
| 77.8% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) | |
| 80.2% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) | |
| 79.8% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (pow.f32 s #s(literal 4 binary32))))))) s) | |
| ✓ | 99.8% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) |
| 72.6% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) | |
| ✓ | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) |
| 34.4% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) | |
| ✓ | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
| 95.6% | (/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s) | |
| 41.8% | (/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) | |
| 25.5% | (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) | |
| ▶ | 99.8% | (/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s) |
| ▶ | 43.8% | (/.f32 s (*.f32 x x)) |
| 32.4% | (/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) | |
| 77.3% | (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) | |
| ✓ | 25.7% | (/.f32 #s(literal 1/4 binary32) s) |
| 77.3% | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
Compiled 2619 to 1264 computations (51.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 1024 | (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))) |
| ✓ | cost-diff | 1216 | (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s)))) |
| ✓ | cost-diff | 1216 | (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) |
| ✓ | cost-diff | 1216 | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
| ✓ | cost-diff | 384 | (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))) |
| ✓ | cost-diff | 576 | (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s)))) |
| ✓ | cost-diff | 576 | (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) |
| ✓ | cost-diff | 576 | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (/.f32 x s) x) s) |
| ✓ | cost-diff | 0 | (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) |
| ✓ | cost-diff | 64 | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
| ✓ | cost-diff | 0 | (*.f32 x x) |
| ✓ | cost-diff | 0 | (/.f32 s (*.f32 x x)) |
| ✓ | cost-diff | 0 | (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
| ✓ | cost-diff | 32 | (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)) |
| ✓ | cost-diff | 6464 | (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) |
| ✓ | cost-diff | 6464 | (/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s) |
| 3300× | *-lowering-*.f32 |
| 3300× | *-lowering-*.f64 |
| 1104× | /-lowering-/.f32 |
| 1104× | /-lowering-/.f64 |
| 1038× | fma-define |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 670 |
| 1 | 158 | 565 |
| 2 | 429 | 481 |
| 3 | 1276 | 473 |
| 4 | 3165 | 459 |
| 5 | 7163 | 455 |
| 0 | 8066 | 455 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) s) |
(exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) |
(* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1) |
(log (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
(+ 2 (* 2 (cosh (/ (fabs x) s)))) |
2 |
(* 2 (cosh (/ (fabs x) s))) |
(cosh (/ (fabs x) s)) |
(/ (fabs x) s) |
(fabs x) |
x |
s |
-1 |
(/ s (* x x)) |
s |
(* x x) |
x |
(/ (/ 1 (+ (/ (* (/ x s) x) s) 4)) s) |
(/ 1 (+ (/ (* (/ x s) x) s) 4)) |
1 |
(+ (/ (* (/ x s) x) s) 4) |
(/ (* (/ x s) x) s) |
(* (/ x s) x) |
(/ x s) |
x |
s |
4 |
(/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))))) s) |
(/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))))) |
1 |
(- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s)))) |
(+ (/ (/ (* x x) s) s) 4) |
(/ (/ (* x x) s) s) |
(/ (* x x) s) |
(* x x) |
x |
s |
4 |
(/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))) |
(+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) |
(/ (* x (* (* x (* x x)) -1/6)) s) |
(* x (* (* x (* x x)) -1/6)) |
(* (* x (* x x)) -1/6) |
(* x (* x x)) |
-1/6 |
(* (* x (/ (* x (* x x)) s)) 1/12) |
(* x (/ (* x (* x x)) s)) |
(/ (* x (* x x)) s) |
1/12 |
(* s (* s s)) |
(* s s) |
(/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) s) |
(/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) |
1 |
(- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))) |
(+ (/ (/ (* x x) s) s) 4) |
(/ (/ (* x x) s) s) |
(/ (* x x) s) |
(* x x) |
x |
s |
4 |
(/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))) |
(+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) |
(/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) |
(/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) |
(+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) |
(* s (* x (* (* x (* x x)) 1/4))) |
(* x (* (* x (* x x)) 1/4)) |
(* (* x (* x x)) 1/4) |
(* x (* x x)) |
1/4 |
(* (* s -1/6) (* x (* x (* x x)))) |
(* s -1/6) |
-1/6 |
(* x (* x (* x x))) |
(+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0) |
(/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) |
(+ (* -1/6 (* (* x x) (* x x))) 0) |
(* -1/6 (* (* x x) (* x x))) |
(* (* x x) (* x x)) |
0 |
(* s (* s s)) |
(* s s) |
| Outputs |
|---|
(/ (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) s) |
(/.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) s) |
(exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) |
(/.f32 #s(literal 1/2 binary32) (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) |
(* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1) |
(neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(log (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
(log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
(+ 2 (* 2 (cosh (/ (fabs x) s)))) |
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) |
2 |
#s(literal 2 binary32) |
(* 2 (cosh (/ (fabs x) s))) |
(*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) |
(cosh (/ (fabs x) s)) |
(cosh.f32 (/.f32 (fabs.f32 x) s)) |
(/ (fabs x) s) |
(/.f32 (fabs.f32 x) s) |
(fabs x) |
(fabs.f32 x) |
x |
s |
-1 |
#s(literal -1 binary32) |
(/ s (* x x)) |
(/.f32 s (*.f32 x x)) |
s |
(* x x) |
(*.f32 x x) |
x |
(/ (/ 1 (+ (/ (* (/ x s) x) s) 4)) s) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) s) (*.f32 s #s(literal 4 binary32)))) |
(/ 1 (+ (/ (* (/ x s) x) s) 4)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s))))) |
1 |
#s(literal 1 binary32) |
(+ (/ (* (/ x s) x) s) 4) |
(+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s)))) |
(/ (* (/ x s) x) s) |
(*.f32 x (/.f32 x (*.f32 s s))) |
(* (/ x s) x) |
(/.f32 (*.f32 x x) s) |
(/ x s) |
(/.f32 x s) |
x |
s |
4 |
#s(literal 4 binary32) |
(/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (*.f32 s s)) (+.f32 x (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal 1/12 binary32)))) (*.f32 s s)))))) |
(/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (*.f32 s s)) (+.f32 x (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal 1/12 binary32)))) (*.f32 s s)))))) |
1 |
#s(literal 1 binary32) |
(- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s)))) |
(+.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (*.f32 s s)) (+.f32 x (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal 1/12 binary32)))) (*.f32 s s))))) |
(+ (/ (/ (* x x) s) s) 4) |
(+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s)))) |
(/ (/ (* x x) s) s) |
(*.f32 x (/.f32 x (*.f32 s s))) |
(/ (* x x) s) |
(/.f32 (*.f32 x x) s) |
(* x x) |
(*.f32 x x) |
x |
s |
4 |
#s(literal 4 binary32) |
(/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))) |
(*.f32 (/.f32 x s) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/12 binary32))) s) (*.f32 s s))) |
(+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) |
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/12 binary32)))) s) |
(/ (* x (* (* x (* x x)) -1/6)) s) |
(/.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) s) |
(* x (* (* x (* x x)) -1/6)) |
(*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) |
(* (* x (* x x)) -1/6) |
(*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
-1/6 |
#s(literal -1/6 binary32) |
(* (* x (/ (* x (* x x)) s)) 1/12) |
(*.f32 (*.f32 x x) (/.f32 (*.f32 x (*.f32 x #s(literal 1/12 binary32))) s)) |
(* x (/ (* x (* x x)) s)) |
(/.f32 (*.f32 x (*.f32 x (*.f32 x x))) s) |
(/ (* x (* x x)) s) |
(/.f32 (*.f32 x (*.f32 x x)) s) |
1/12 |
#s(literal 1/12 binary32) |
(* s (* s s)) |
(*.f32 s (*.f32 s s)) |
(* s s) |
(*.f32 s s) |
(/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (*.f32 s s)) (+.f32 x (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal 1/12 binary32)))) (*.f32 s s)))))) |
(/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (*.f32 s s)) (+.f32 x (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal 1/12 binary32)))) (*.f32 s s)))))) |
1 |
#s(literal 1 binary32) |
(- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))) |
(+.f32 #s(literal 4 binary32) (*.f32 (/.f32 x (*.f32 s s)) (+.f32 x (/.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal 1/12 binary32)))) (*.f32 s s))))) |
(+ (/ (/ (* x x) s) s) 4) |
(+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s)))) |
(/ (/ (* x x) s) s) |
(*.f32 x (/.f32 x (*.f32 s s))) |
(/ (* x x) s) |
(/.f32 (*.f32 x x) s) |
(* x x) |
(*.f32 x x) |
x |
s |
4 |
#s(literal 4 binary32) |
(/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))) |
(*.f32 (/.f32 x s) (/.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/12 binary32))) s) (*.f32 s s))) |
(+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) |
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/12 binary32)))) s) |
(/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) |
(*.f32 (*.f32 x x) (/.f32 (*.f32 x (*.f32 x #s(literal 1/12 binary32))) s)) |
(/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) |
(*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal 1/12 binary32))))) |
(+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) |
(*.f32 x (*.f32 x (*.f32 s (*.f32 x (*.f32 x #s(literal 1/12 binary32)))))) |
(* s (* x (* (* x (* x x)) 1/4))) |
(*.f32 x (*.f32 x (*.f32 s (*.f32 x (*.f32 x #s(literal 1/4 binary32)))))) |
(* x (* (* x (* x x)) 1/4)) |
(*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal 1/4 binary32))))) |
(* (* x (* x x)) 1/4) |
(*.f32 x (*.f32 x (*.f32 x #s(literal 1/4 binary32)))) |
(* x (* x x)) |
(*.f32 x (*.f32 x x)) |
1/4 |
#s(literal 1/4 binary32) |
(* (* s -1/6) (* x (* x (* x x)))) |
(*.f32 x (*.f32 x (*.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) |
(* s -1/6) |
(*.f32 s #s(literal -1/6 binary32)) |
-1/6 |
#s(literal -1/6 binary32) |
(* x (* x (* x x))) |
(*.f32 x (*.f32 x (*.f32 x x))) |
(+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0) |
(/.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) s) |
(/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) |
(/.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) s) |
(+ (* -1/6 (* (* x x) (* x x))) 0) |
(*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) |
(* -1/6 (* (* x x) (* x x))) |
(*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) |
(* (* x x) (* x x)) |
(*.f32 x (*.f32 x (*.f32 x x))) |
0 |
#s(literal 0 binary32) |
(* s (* s s)) |
(*.f32 s (*.f32 s s)) |
(* s s) |
(*.f32 s s) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.0% | (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) |
| ✓ | accuracy | 95.0% | (/.f32 (/.f32 (*.f32 x x) s) s) |
| ✓ | accuracy | 91.5% | (/.f32 (*.f32 x x) s) |
| ✓ | accuracy | 84.9% | (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))) |
| ✓ | accuracy | 97.7% | (/.f32 (*.f32 x (*.f32 x x)) s) |
| ✓ | accuracy | 95.0% | (/.f32 (/.f32 (*.f32 x x) s) s) |
| ✓ | accuracy | 91.5% | (/.f32 (*.f32 x x) s) |
| ✓ | accuracy | 84.9% | (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))) |
| ✓ | accuracy | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
| ✓ | accuracy | 99.9% | (*.f32 (/.f32 x s) x) |
| ✓ | accuracy | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) |
| ✓ | accuracy | 95.0% | (/.f32 (*.f32 (/.f32 x s) x) s) |
| ✓ | accuracy | 100.0% | (*.f32 x x) |
| ✓ | accuracy | 93.0% | (/.f32 s (*.f32 x x)) |
| ✓ | accuracy | 100.0% | (cosh.f32 (/.f32 (fabs.f32 x) s)) |
| ✓ | accuracy | 99.9% | (/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s) |
| ✓ | accuracy | 99.9% | (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) |
| ✓ | accuracy | 91.6% | (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
| 881.0ms | 169× | 5 | exit |
| 75.0ms | 87× | 0 | valid |
Compiled 915 to 64 computations (93% saved)
ival-log: 138.0ms (21.3% of total)ival-div: 124.0ms (19.1% of total)backward-pass: 96.0ms (14.8% of total)ival-cosh: 86.0ms (13.3% of total)ival-exp: 80.0ms (12.3% of total)ival-mult: 68.0ms (10.5% of total)ival-add: 21.0ms (3.2% of total)...c/correct-round.rkt:119:19: 20.0ms (3.1% of total)ival-fabs: 9.0ms (1.4% of total)ival-sub: 4.0ms (0.6% of total)const: 3.0ms (0.5% of total)| Inputs |
|---|
#<alt (/ (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) s)> |
#<alt (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1))> |
#<alt (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)> |
#<alt (log (+ 2 (* 2 (cosh (/ (fabs x) s)))))> |
#<alt (/ s (* x x))> |
#<alt (* x x)> |
#<alt (/ (/ 1 (+ (/ (* (/ x s) x) s) 4)) s)> |
#<alt (/ 1 (+ (/ (* (/ x s) x) s) 4))> |
#<alt (+ (/ (* (/ x s) x) s) 4)> |
#<alt (/ (* (/ x s) x) s)> |
#<alt (/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))))) s)> |
#<alt (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s)))))> |
#<alt (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))))> |
#<alt (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s)))> |
#<alt (/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) s)> |
#<alt (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))))> |
#<alt (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))> |
#<alt (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))> |
#<alt (cosh (/ (fabs x) s))> |
#<alt (* (/ x s) x)> |
#<alt (/ (* x x) s)> |
#<alt (/ (/ (* x x) s) s)> |
#<alt (/ (* x (* x x)) s)> |
#<alt (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s)> |
| Outputs |
|---|
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))))> |
#<alt (* -1 (log 4))> |
#<alt (+ (* -1 (log 4)) (* -1/4 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ (* -1 (log 4)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))))> |
#<alt (+ (* -1 (log 4)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (* 1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))))> |
#<alt (* -1 (log 4))> |
#<alt (+ (* -1 (log 4)) (* -1/4 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ (* -1 (log 4)) (+ (* -1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* -1/4 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ (* -1 (log 4)) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s)) (* 1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* -1/4 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))> |
#<alt (log 4)> |
#<alt (+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ (log 4) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ (log 4) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))))> |
#<alt (log 4)> |
#<alt (+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ (log 4) (+ (* 1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ (log 4) (+ (* -1 (/ (+ (* -1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* -1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1/4 s)> |
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 7))) (* 1/64 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))> |
#<alt (/ s (pow x 2))> |
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2))> |
#<alt (/ s (pow x 2))> |
#<alt (* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))> |
#<alt (* s (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))> |
#<alt (* s (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/256 (/ (pow x 6) (pow s 6))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))> |
#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 6))) (* 1/64 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))> |
#<alt (/ (pow s 2) (pow x 2))> |
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))> |
#<alt (/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2))> |
#<alt (/ (pow s 2) (pow x 2))> |
#<alt (/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2))> |
#<alt (/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2))> |
#<alt (/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2))> |
#<alt (/ (pow s 2) (pow x 2))> |
#<alt (* (pow s 2) (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2))))> |
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))> |
#<alt (* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2)))))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))> |
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))> |
#<alt (/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ 1/4 s)> |
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))> |
#<alt (* 12 (/ (pow s 3) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4))> |
#<alt (* 12 (/ (pow s 3) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4))> |
#<alt (* -1 (/ (pow s 3) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))> |
#<alt (* (pow s 3) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))))> |
#<alt (* (pow s 3) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2)))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))))> |
#<alt (* (pow s 3) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3)))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2)))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 6))) (+ (* -1/64 (/ (* (pow x 2) (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4)))) (pow s 6))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))) 1/4) s))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))> |
#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))> |
#<alt (* 12 (/ (pow s 4) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4))> |
#<alt (* 12 (/ (pow s 4) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4))> |
#<alt (* -1 (/ (pow s 4) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))> |
#<alt (* (pow s 4) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))))> |
#<alt (* (pow s 4) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2)))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))))> |
#<alt (* (pow s 4) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3)))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2)))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))))))) (* -1/64 (* (pow x 2) (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2)))))> |
#<alt (+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2)))))> |
#<alt (* 1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* 1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* -1 (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4)))> |
#<alt (/ (- (* (pow s 2) (pow x 2)) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (pow s 4))> |
#<alt (/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (pow s 4))> |
#<alt (/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (pow s 4))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2))))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (+ (* -1/12 (/ (pow x 4) (pow s 4))) (+ (* 1/6 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2)))))> |
#<alt (+ 4 (+ (* -1/12 (/ (pow x 4) (pow s 4))) (+ (* 1/6 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2)))))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))> |
#<alt (* -1 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4)))> |
#<alt (* -1 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4)))> |
#<alt (* -1 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4)))> |
#<alt (* -1 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4)))> |
#<alt (/ 1/4 s)> |
#<alt (+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))> |
#<alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s)))> |
#<alt (* 12 (/ (pow s 3) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4))> |
#<alt (* 12 (/ (pow s 3) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4))> |
#<alt (* -1 (/ (pow s 3) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))> |
#<alt (* (pow s 3) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt (* (pow s 3) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt (* (pow s 3) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3)))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt (/ 1/4 s)> |
#<alt (/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s)> |
#<alt (/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) s)> |
#<alt (/ 1/4 s)> |
#<alt (* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s))> |
#<alt (* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))))) (pow s 6))) (+ (* -1/64 (/ (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 6))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))) 1/4) s))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2))))))> |
#<alt (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2))))))> |
#<alt (* 12 (/ (pow s 4) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4))> |
#<alt (* 12 (/ (pow s 4) (pow x 4)))> |
#<alt (/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4))> |
#<alt (/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4))> |
#<alt (* -1 (/ (pow s 4) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))> |
#<alt (* (pow s 4) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt (* (pow s 4) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt (* (pow s 4) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3)))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2))))> |
#<alt (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))))))) (* -1/64 (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))))) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2)))))> |
#<alt (+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2)))))> |
#<alt (* 1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* 1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4)))))> |
#<alt (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)))> |
#<alt (/ (- (* (pow s 2) (pow x 2)) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4))> |
#<alt (/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4))> |
#<alt (/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2))))> |
#<alt (+ 4 (+ (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2))))> |
#<alt 4> |
#<alt (+ 4 (/ (pow x 2) (pow s 2)))> |
#<alt (+ 4 (+ (* -1/4 (/ (pow x 4) (pow s 4))) (+ (* 1/3 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2)))))> |
#<alt (+ 4 (+ (* -1/4 (/ (pow x 4) (pow s 4))) (+ (* 1/3 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2)))))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4)))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4)))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4)))> |
#<alt (* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* -1/12 (/ (pow x 4) (pow s 4)))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt (* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))> |
#<alt (+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) s)> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 2) (pow s 2))> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (/ (pow x 3) s)> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
#<alt (* -1/6 (/ (pow x 4) s))> |
141 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | x | @ | -inf | (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1) |
| 37.0ms | x | @ | -inf | (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))) |
| 21.0ms | x | @ | 0 | (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1) |
| 20.0ms | s | @ | -inf | (/ (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) s) |
| 19.0ms | x | @ | inf | (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1) |
| 1× | batch-egg-rewrite |
| 3958× | *-lowering-*.f32 |
| 3958× | *-lowering-*.f64 |
| 2050× | /-lowering-/.f32 |
| 2050× | /-lowering-/.f64 |
| 1520× | pow-lowering-pow.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 432 |
| 1 | 401 | 351 |
| 2 | 3930 | 343 |
| 0 | 8076 | 343 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) s) |
(exp (* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1)) |
(* (log (+ 2 (* 2 (cosh (/ (fabs x) s))))) -1) |
(log (+ 2 (* 2 (cosh (/ (fabs x) s))))) |
(/ s (* x x)) |
(* x x) |
(/ (/ 1 (+ (/ (* (/ x s) x) s) 4)) s) |
(/ 1 (+ (/ (* (/ x s) x) s) 4)) |
(+ (/ (* (/ x s) x) s) 4) |
(/ (* (/ x s) x) s) |
(/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))))) s) |
(/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))))) |
(- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s)))) |
(/ (+ (/ (* x (* (* x (* x x)) -1/6)) s) (* (* x (/ (* x (* x x)) s)) 1/12)) (* s (* s s))) |
(/ (/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) s) |
(/ 1 (- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))))) |
(- (+ (/ (/ (* x x) s) s) 4) (/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s)))) |
(/ (+ (/ (/ (+ (* s (* x (* (* x (* x x)) 1/4))) (* (* s -1/6) (* x (* x (* x x))))) s) s) (+ (/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) 0)) (* s (* s s))) |
(cosh (/ (fabs x) s)) |
(* (/ x s) x) |
(/ (* x x) s) |
(/ (/ (* x x) s) s) |
(/ (* x (* x x)) s) |
(/ (+ (* -1/6 (* (* x x) (* x x))) 0) s) |
| Outputs |
|---|
(neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (neg.f32 s))) |
(neg.f32 (/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) s)) |
(exp.f32 (*.f32 (log.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) #s(literal -1 binary32))) |
(pow.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) |
(/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (neg.f32 s)) |
(/.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) (neg.f32 (neg.f32 s))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal 1 binary32)) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s)) |
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) (/.f32 #s(literal 1 binary32) (neg.f32 s))) |
(*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) #s(literal -1 binary32))) |
(exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))))) |
(/.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(*.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))))) |
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))))) |
(+.f32 (log.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32))))))) |
(+.f32 (log.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(+.f32 (log.f32 (+.f32 (cosh.f32 (/.f32 (fabs.f32 x) s)) #s(literal 1 binary32))) (log.f32 #s(literal 2 binary32))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))))) |
(-.f32 (log.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (log.f32 (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))))) |
(-.f32 (log.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)) (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) |
(-.f32 (log.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))) #s(literal 2 binary32)))) (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
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(/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) s)) |
(/.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 1 binary32)) (*.f32 (*.f32 s (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (*.f32 x x))) |
(/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal 1 binary32)) s) |
(/.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/6 binary32))) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (*.f32 s (*.f32 s s)))) (neg.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 s s)))) |
(/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 s s))) (-.f32 #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 (*.f32 x x) s)))) |
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (*.f32 s (*.f32 s s))) #s(literal 0 binary32)) (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 s s))) |
(/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) s)) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) |
(*.f32 x (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))) |
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 (*.f32 x x) s))) |
(*.f32 #s(literal -1/6 binary32) (/.f32 x (/.f32 (/.f32 s (*.f32 x x)) x))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (/.f32 x s)) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) s))) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal -1/6 binary32) s)) |
(*.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 s))) |
(*.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 s s)) (/.f32 s (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) |
(*.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (*.f32 s (*.f32 s s))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 s s)))) |
(*.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) s) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32)))))) #s(literal -1 binary32))) |
(*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (/.f32 (*.f32 x x) s)) |
(*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)) x) |
(*.f32 (pow.f32 (/.f32 s (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(*.f32 (pow.f32 (/.f32 s (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) |
| 1× | egg-herbie |
| 4458× | *-lowering-*.f32 |
| 4458× | *-lowering-*.f64 |
| 2904× | +-lowering-+.f64 |
| 2904× | +-lowering-+.f32 |
| 1644× | sum5-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 673 | 8760 |
| 1 | 2323 | 8284 |
| 2 | 7919 | 8284 |
| 0 | 8736 | 8284 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow (fabs x) 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* 1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -1/64 (pow (fabs x) 4))) s)) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) 1/4) s)) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(/ 1 (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* 1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -1/64 (pow (fabs x) 4))) (pow s 4)))) (+ (* -1/16 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* -1/16 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (- (+ (* -1/16 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s)) (* -1/64 (/ (pow (fabs x) 4) s))) (* -1/16 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3)))) (* 1/16 (/ (pow (fabs x) 2) (pow s 2)))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(* -1 (log 4)) |
(+ (* -1 (log 4)) (* -1/4 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ (* -1 (log 4)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (* 1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))))) |
(+ (* -1 (log 4)) (+ (* -1/4 (/ (pow (fabs x) 2) (pow s 2))) (+ (* -1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (* 1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3)))))) |
(* -1 (log 4)) |
(+ (* -1 (log 4)) (* -1/4 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ (* -1 (log 4)) (+ (* -1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* -1/4 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ (* -1 (log 4)) (+ (* -1 (/ (+ (* 1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s)) (* 1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))) (pow s 3))) (* -1/4 (/ (pow (fabs x) 2) (pow s 2))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s)))))) |
(log 4) |
(+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ (log 4) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ (log 4) (+ (* -1/4 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (+ (* 1/24 (/ (+ (* -6 (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4))))) (* -3/4 (pow (fabs x) 4))) (pow s 4))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))))) |
(log 4) |
(+ (log 4) (* 1/4 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ (log 4) (+ (* 1/4 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ (log 4) (+ (* -1 (/ (+ (* -1/4 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* -1/24 (/ (+ (* -6 (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))))))) (* -3/4 (pow (fabs x) 4))) s))) (pow s 3))) (* 1/4 (/ (pow (fabs x) 2) (pow s 2))))) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(/ s (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1/4 s) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 7))) (* 1/64 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
(/ s (pow x 2)) |
(/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2)) |
(/ s (pow x 2)) |
(/ (+ s (* -4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ s (* 16 (/ (pow s 5) (pow x 4)))) (* 4 (/ (pow s 3) (pow x 2)))) (pow x 2)) |
(/ (- (+ s (* -64 (/ (pow s 7) (pow x 6)))) (+ (* -16 (/ (pow s 5) (pow x 4))) (* 4 (/ (pow s 3) (pow x 2))))) (pow x 2)) |
(/ s (pow x 2)) |
(* s (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* s (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(* s (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))) 1/4) s)) |
(* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/256 (/ (pow x 6) (pow s 6))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* (pow x 2) (- (* 1/64 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2)))))) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/256 (/ (pow x 2) (pow s 6))) (* 1/64 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2)))))) |
(/ (pow s 2) (pow x 2)) |
(/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2)) |
(/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2)) |
(/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2)) |
(/ (pow s 2) (pow x 2)) |
(/ (+ (* -4 (/ (pow s 4) (pow x 2))) (pow s 2)) (pow x 2)) |
(/ (- (+ (* 16 (/ (pow s 6) (pow x 4))) (pow s 2)) (* 4 (/ (pow s 4) (pow x 2)))) (pow x 2)) |
(/ (- (+ (* -64 (/ (pow s 8) (pow x 6))) (pow s 2)) (+ (* -16 (/ (pow s 6) (pow x 4))) (* 4 (/ (pow s 4) (pow x 2))))) (pow x 2)) |
(/ (pow s 2) (pow x 2)) |
(* (pow s 2) (+ (* -4 (/ (pow s 2) (pow x 4))) (/ 1 (pow x 2)))) |
(* (pow s 2) (+ (* (pow s 2) (- (* 16 (/ (pow s 2) (pow x 6))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
(* (pow s 2) (+ (* (pow s 2) (- (* (pow s 2) (+ (* -64 (/ (pow s 2) (pow x 8))) (* 16 (/ 1 (pow x 6))))) (* 4 (/ 1 (pow x 4))))) (/ 1 (pow x 2)))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* 1/64 (/ (pow x 4) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1/256 (/ (pow x 6) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(/ (pow x 2) (pow s 2)) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(/ (pow x 2) (pow s 2)) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ (/ 1 (pow s 2)) (* 4 (/ 1 (pow x 2))))) |
(/ (pow x 2) (pow s 2)) |
(/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2)) |
(/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2)) |
(/ (+ (* 4 (pow s 2)) (pow x 2)) (pow s 2)) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ 1/4 s) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
(* 12 (/ (pow s 3) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4)) |
(* 12 (/ (pow s 3) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4)) |
(* -1 (/ (pow s 3) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) |
(* (pow s 3) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) |
(* (pow s 3) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2)))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) |
(* (pow s 3) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3)))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2)))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s)) |
(* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 6))) (+ (* -1/64 (/ (* (pow x 2) (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4)))) (pow s 6))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))) 1/4) s)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2)))))) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2)))))) |
(* 12 (/ (pow s 4) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4)) |
(* 12 (/ (pow s 4) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4)) |
(* -1 (/ (pow s 4) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) |
(* (pow s 4) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) |
(* (pow s 4) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2)))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) |
(* (pow s 4) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3)))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) 2)))) (/ 1 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))))))) (* -1/64 (* (pow x 2) (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4)))))) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2))))) |
(+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2))))) |
(* 1/12 (/ (pow x 4) (pow s 4))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* 1/12 (/ (pow x 4) (pow s 4))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* -1 (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))) |
(/ (- (* (pow s 2) (pow x 2)) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (pow s 4)) |
(/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (pow s 4)) |
(/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))) (pow s 4)) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (+ (* -1 (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2)))) |
(+ 4 (+ (* -1 (/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2)))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (+ (* -1/12 (/ (pow x 4) (pow s 4))) (+ (* 1/6 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2))))) |
(+ 4 (+ (* -1/12 (/ (pow x 4) (pow s 4))) (+ (* 1/6 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2))))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))) (pow s 4)) |
(* -1 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4))) |
(* -1 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4))) |
(* -1 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4))) |
(* -1 (/ (+ (* -1/12 (pow x 4)) (* 1/6 (pow x 4))) (pow s 4))) |
(/ 1/4 s) |
(+ (* -1/16 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))) |
(+ (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 5))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 7))) (* 1/96 (/ 1 (pow s 5))))) (* 1/16 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))) |
(* 12 (/ (pow s 3) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4)) |
(* 12 (/ (pow s 3) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 5) (pow x 2))) (* 12 (pow s 3))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 7)) (* 576 (pow s 7))) (pow x 4))) (* 12 (pow s 3))) (* 144 (/ (pow s 5) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 9)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 7)) (* 576 (pow s 7)))))) (pow x 6))) (* 12 (pow s 3))) (+ (* -1728 (/ (pow s 7) (pow x 4))) (+ (* 144 (/ (pow s 5) (pow x 2))) (* 576 (/ (pow s 7) (pow x 4)))))) (pow x 4)) |
(* -1 (/ (pow s 3) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))) |
(* (pow s 3) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
(* (pow s 3) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
(* (pow s 3) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3)))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
(/ 1/4 s) |
(/ (+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) s) |
(/ (- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) s) |
(/ 1/4 s) |
(* -1 (/ (- (* 1/16 (/ (pow x 2) (pow s 2))) 1/4) s)) |
(* -1 (/ (- (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))) 1/4) s)) |
(* -1 (/ (- (+ (* -1/4 (/ (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))))) (pow s 6))) (+ (* -1/64 (/ (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))) (pow s 6))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2))))))) 1/4) s)) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2)))))) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* -1/768 (/ (pow x 2) (pow s 6))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2)))))) |
(* 12 (/ (pow s 4) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4)) |
(* 12 (/ (pow s 4) (pow x 4))) |
(/ (+ (* -144 (/ (pow s 6) (pow x 2))) (* 12 (pow s 4))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -1728 (pow s 8)) (* 576 (pow s 8))) (pow x 4))) (* 12 (pow s 4))) (* 144 (/ (pow s 6) (pow x 2)))) (pow x 4)) |
(/ (- (+ (* -1 (/ (+ (* -6912 (pow s 10)) (* -12 (* (pow s 2) (+ (* -1728 (pow s 8)) (* 576 (pow s 8)))))) (pow x 6))) (* 12 (pow s 4))) (+ (* -1728 (/ (pow s 8) (pow x 4))) (+ (* 144 (/ (pow s 6) (pow x 2))) (* 576 (/ (pow s 8) (pow x 4)))))) (pow x 4)) |
(* -1 (/ (pow s 4) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))) |
(* (pow s 4) (- (* -1 (/ (* (pow s 2) (pow x 2)) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
(* (pow s 4) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
(* (pow s 4) (- (* (pow s 2) (- (* (pow s 2) (- (* -1 (* (pow s 2) (+ (* 4 (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))) (/ (* (pow x 2) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3)))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))))))) (+ (* 4 (/ 1 (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2))) (/ (pow x 4) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 3))))) (/ (pow x 2) (pow (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) 2)))) (/ 1 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/16 (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (* -1/64 (pow x 4))))) (* 1/64 (* (pow x 2) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))))) (pow s 6)))) (+ (* -1/16 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))))) (pow s 4)))) (* 1/16 (/ (pow x 2) (pow s 2)))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (pow x 2) (+ (* -1/64 (pow x 4)) (* 1/16 (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))))))) (* -1/64 (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4)))))) (pow s 6)))) (+ (* -1/64 (/ (pow x 4) (pow s 4))) (+ (* 1/16 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) (* 1/16 (/ (pow x 2) (pow s 2)))))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2))))) |
(+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2))))) |
(* 1/12 (/ (pow x 4) (pow s 4))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* 1/12 (/ (pow x 4) (pow s 4))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (* 1/12 (/ 1 (pow s 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* (pow x 4) (+ (/ 1 (* (pow s 2) (pow x 2))) (+ (* 1/12 (/ 1 (pow s 4))) (/ 4 (pow x 4))))) |
(* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) |
(/ (- (* (pow s 2) (pow x 2)) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4)) |
(/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4)) |
(/ (- (* (pow s 2) (+ (* 4 (pow s 2)) (pow x 2))) (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4)))) (pow s 4)) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (+ (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2)))) |
(+ 4 (+ (* -1 (/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4))) (/ (pow x 2) (pow s 2)))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (+ (* -1/4 (/ (pow x 4) (pow s 4))) (+ (* 1/3 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2))))) |
(+ 4 (+ (* -1/4 (/ (pow x 4) (pow s 4))) (+ (* 1/3 (/ (pow x 4) (pow s 4))) (/ (pow x 2) (pow s 2))))) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(/ (+ (* -1/3 (pow x 4)) (* 1/4 (pow x 4))) (pow s 4)) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) |
(* -1 (/ (+ (* -1/4 (pow x 4)) (* 1/3 (pow x 4))) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* -1/12 (/ (pow x 4) (pow s 4))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
(* 1/2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))) |
1 |
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/2 (pow (fabs x) 3)) (* 1/6 (pow (fabs x) 3)))))) (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/6 (pow (fabs x) 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (* -1/2 (pow (fabs x) 3))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))))) |
1 |
(+ 1 (* 1/2 (/ (pow (fabs x) 2) (pow s 2)))) |
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (fabs x) 2) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))) (+ (* -1/6 (pow (fabs x) 4)) (* (fabs x) (+ (* -1/6 (pow (fabs x) 3)) (+ (* 1/2 (pow (fabs x) 3)) (* (fabs x) (+ (* -1 (pow (fabs x) 2)) (* 1/2 (pow (fabs x) 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow (fabs x) 2) (pow s 2))))) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) s) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 2) (pow s 2)) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(/ (pow x 3) s) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
(* -1/6 (/ (pow x 4) s)) |
| Outputs |
|---|
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1 (* s (+ 2 (+ (exp (/ (fabs x) s)) (/ 1 (exp (/ (fabs x) s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (+.f32 #s(literal 2 binary32) (exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 (fabs.f32 x) s)))) (exp.f32 (/.f32 (fabs.f32 x) s)))) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ (+ 1/4 (* -1/16 (/ (pow (fabs x) 2) (pow s 2)))) s) |
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1/4 |
#s(literal 1/4 binary32) |
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1/4 |
#s(literal 1/4 binary32) |
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#s(literal 4 binary32) |
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#s(literal 4 binary32) |
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(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
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1/4 |
#s(literal 1/4 binary32) |
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1/4 |
#s(literal 1/4 binary32) |
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1/4 |
#s(literal 1/4 binary32) |
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4 |
#s(literal 4 binary32) |
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(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) s) |
(/.f32 (*.f32 x x) s) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 2) (pow s 2)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(/ (pow x 3) s) |
(*.f32 x (/.f32 (*.f32 x x) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
(* -1/6 (/ (pow x 4) s)) |
(*.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 x #s(literal 4 binary32)) s)) |
Compiled 66875 to 4020 computations (94% saved)
51 alts after pruning (43 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1444 | 24 | 1468 |
| Fresh | 9 | 19 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1456 | 51 | 1507 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s) |
| 61.7% | (/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) | |
| 43.8% | (/.f32 (/.f32 s x) x) | |
| 17.7% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s))))))) s) | |
| 4.8% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) #s(literal -16 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))))) s) | |
| 30.7% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) | |
| 24.9% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) | |
| 10.0% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))))) s) | |
| 59.7% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) | |
| 30.1% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s)) (*.f32 s (*.f32 s s))))) s) | |
| 45.0% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) s) s))) s) | |
| 45.7% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) | |
| 38.1% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s) (*.f32 s s)))) s) | |
| 42.6% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s s)) s))) s) | |
| 10.4% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) | |
| 17.1% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) | |
| ✓ | 29.7% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
| 32.4% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))))))) s) | |
| 34.8% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))))))) s) | |
| 35.2% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) | |
| 28.9% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) | |
| 29.4% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) | |
| 72.9% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) | |
| ✓ | 72.9% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
| 72.6% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) | |
| 72.9% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) | |
| 72.9% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) | |
| 77.8% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) | |
| 77.8% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) | |
| 80.2% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) | |
| 79.8% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (pow.f32 s #s(literal 4 binary32))))))) s) | |
| ✓ | 99.8% | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) |
| 43.6% | (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) | |
| 43.9% | (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) | |
| 72.6% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) | |
| ✓ | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) |
| ✓ | 99.9% | (/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
| 95.6% | (/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s) | |
| 41.8% | (/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) | |
| 25.5% | (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) | |
| 51.5% | (/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) | |
| 99.8% | (/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s) | |
| ✓ | 43.8% | (/.f32 s (*.f32 x x)) |
| 45.4% | (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) | |
| 37.2% | (/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) | |
| 77.3% | (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) | |
| ✓ | 25.7% | (/.f32 #s(literal 1/4 binary32) s) |
| 43.8% | (*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) | |
| 77.3% | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) | |
| 34.8% | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) s)) | |
| 43.6% | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
Compiled 3992 to 1232 computations (69.1% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) |
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s s)) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32)))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) s) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) #s(literal -16 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (*.f32 s s)) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s))) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (pow.f32 s #s(literal 4 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s)) (*.f32 s (*.f32 s s))))) s) |
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32))) |
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) s) |
(/.f32 (exp.f32 (neg.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))))) s) |
(/.f32 (exp.f32 (*.f32 (log.f32 s) #s(literal -1 binary32))) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 (exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) #s(literal -1 binary32))) s) |
(/.f32 (pow.f32 (pow.f32 (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (+.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s)))) #s(literal 2 binary32)))) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (exp.f32 (neg.f32 (/.f32 (fabs.f32 x) s))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (fabs.f32 x) s)) #s(literal 2 binary32)))))) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (fabs.f32 x) (neg.f32 s))) #s(literal 1 binary32)) #s(literal 2 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)))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s))))) |
| Outputs |
|---|
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
5 calls:
| 27.0ms | x |
| 27.0ms | (fabs.f32 x) |
| 25.0ms | (neg.f32 (fabs.f32 x)) |
| 24.0ms | s |
| 18.0ms | (/.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 |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | s |
| 99.9% | 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))))) |
| 99.9% | 1 | (neg.f32 (fabs.f32 x)) |
| 99.9% | 1 | (fabs.f32 x) |
Compiled 43 to 22 computations (48.8% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) |
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s s)) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32)))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) s) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) #s(literal -16 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (*.f32 s s)) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s))) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (pow.f32 s #s(literal 4 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s)) (*.f32 s (*.f32 s s))))) s) |
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32))) |
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
4 calls:
| 25.0ms | s |
| 23.0ms | (fabs.f32 x) |
| 23.0ms | (neg.f32 (fabs.f32 x)) |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | s |
| 99.8% | 1 | (neg.f32 (fabs.f32 x)) |
| 99.8% | 1 | (fabs.f32 x) |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) |
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s s)) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32)))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) s) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) #s(literal -16 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (*.f32 s s)) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s))) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (pow.f32 s #s(literal 4 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s)) (*.f32 s (*.f32 s s))))) s) |
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32))) |
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s) |
(/.f32 (exp.f32 (/.f32 (neg.f32 (fabs.f32 x)) s)) (*.f32 s #s(literal 4 binary32))) |
| Outputs |
|---|
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s) |
4 calls:
| 24.0ms | s |
| 19.0ms | (neg.f32 (fabs.f32 x)) |
| 19.0ms | (fabs.f32 x) |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | x |
| 95.6% | 1 | s |
| 95.6% | 1 | (neg.f32 (fabs.f32 x)) |
| 95.6% | 1 | (fabs.f32 x) |
Compiled 15 to 11 computations (26.7% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) |
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s s)) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32)))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) s) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) #s(literal -16 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (*.f32 s s)) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s))) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (pow.f32 s #s(literal 4 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (/.f32 (*.f32 x x) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s)) (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s)) (*.f32 s (*.f32 s s))))) s) |
(exp.f32 (*.f32 (log.f32 (/.f32 s #s(literal 1/4 binary32))) #s(literal -1 binary32))) |
| Outputs |
|---|
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (pow.f32 s #s(literal 4 binary32))))))) s) |
2 calls:
| 20.0ms | s |
| 18.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.4% | 2 | x |
| 84.6% | 2 | s |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) |
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s s)) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32)))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) s) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 1/2 binary32))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32))))) s) #s(literal 0 binary32)) (*.f32 s (*.f32 s s))))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32)) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 5/12 binary32))) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (/.f32 (+.f32 (*.f32 s (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32)))) (*.f32 (*.f32 s #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 x x))))) s) s) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) s)) (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x (*.f32 x x)))))) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) #s(literal -16 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -4 binary32)) (/.f32 (*.f32 s (*.f32 s s)) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s)) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (*.f32 s s)) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s))) (*.f32 (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (*.f32 (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s))))))) s) |
| Outputs |
|---|
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
1 calls:
| 29.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) |
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s s)) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32)))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) s) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)) (*.f32 (*.f32 s (*.f32 s s)) (*.f32 s (*.f32 s s)))) #s(literal 64 binary32)) (+.f32 (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s))) (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 4 binary32)) (*.f32 s s)))))) s) |
| Outputs |
|---|
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) s) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.1% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) |
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s s)) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) s) (*.f32 s s)))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32)))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 s (*.f32 s s)) (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 4 binary32) (/.f32 (+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) s)) (+.f32 (/.f32 (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 0 binary32)) s) #s(literal 0 binary32))) (*.f32 s (*.f32 s s))))) s) |
| Outputs |
|---|
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
2 calls:
| 26.0ms | s |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 1 | s |
| 87.2% | 3 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) |
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s s)) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/4 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal -1/3 binary32))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 x x)) #s(literal -1/6 binary32))) s) (*.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) #s(literal 1/12 binary32))) (*.f32 s (*.f32 s s))))) s) |
| Outputs |
|---|
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) |
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s s)) s))) s) |
| Outputs |
|---|
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 x s) x) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 x (/.f32 s x)) s) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) s) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 s x) (/.f32 s x))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 s (/.f32 (*.f32 x x) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 s x) (/.f32 x s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 s (*.f32 x x))) #s(literal 4 binary32))) s) |
(/.f32 (+.f32 s (/.f32 (*.f32 (*.f32 s (*.f32 s s)) #s(literal -4 binary32)) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 x x)) s)) (*.f32 s (*.f32 s s)))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 16 binary32) (/.f32 (/.f32 (*.f32 x x) s) (*.f32 (/.f32 s (/.f32 (*.f32 x x) s)) s))) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))))) s) |
| Outputs |
|---|
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
2 calls:
| 11.0ms | x |
| 10.0ms | s |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 1 | s |
| 80.2% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) (*.f32 s s))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32))) |
| Outputs |
|---|
(/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
2 calls:
| 7.0ms | s |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 2 | x |
| 77.3% | 1 | s |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
(/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 (*.f32 x x) s) s))) s) |
| Outputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
| Outputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s) |
2 calls:
| 11.0ms | s |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 2 | s |
| 75.2% | 2 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
| Outputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.7% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) s)) |
| Outputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 x s)) |
| Outputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s)) |
2 calls:
| 3.0ms | s |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.5% | 2 | s |
| 64.9% | 2 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
(/.f32 (/.f32 s x) x) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) s) |
(*.f32 (/.f32 s x) (/.f32 #s(literal 1 binary32) x)) |
| Outputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 s (*.f32 x x)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.3% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
| Outputs |
|---|
(/.f32 #s(literal 1/4 binary32) s) |
2 calls:
| 1.0ms | s |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 25.7% | 1 | s |
| 25.7% | 1 | x |
Compiled 6 to 4 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.081974164521473e-23 | 9.46646970217146e-23 |
Compiled 33 to 15 computations (54.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1564186752.0 | 15136574464.0 |
| 0.0ms | 2.2535606193641033e-12 | 2.521006623942834e-12 |
Compiled 33 to 15 computations (54.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1564186752.0 | 15136574464.0 |
| 0.0ms | 2.2535606193641033e-12 | 2.521006623942834e-12 |
Compiled 33 to 15 computations (54.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1622.953125 | 1965.5963134765625 |
| 0.0ms | 1.7875522963756953e-19 | 8.462901390642277e-19 |
Compiled 33 to 15 computations (54.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1622.953125 | 1965.5963134765625 |
Compiled 33 to 15 computations (54.5% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1622.953125 | 1965.5963134765625 |
| 0.0ms | 1.7875522963756953e-19 | 8.462901390642277e-19 |
Compiled 33 to 15 computations (54.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3068485111317582e-24 | 5.536188361948063e-24 |
Compiled 33 to 15 computations (54.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3068485111317582e-24 | 5.536188361948063e-24 |
Compiled 33 to 15 computations (54.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.46646970217146e-23 | 1.1890441102056238e-22 |
Compiled 33 to 15 computations (54.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 9.46646970217146e-23 | 1.1890441102056238e-22 |
Compiled 33 to 15 computations (54.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6274723790843382e-9 | 9.506819331761562e-9 |
Compiled 33 to 15 computations (54.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0028897100128233433 | 0.0033242797944694757 |
Compiled 33 to 15 computations (54.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0028897100128233433 | 0.0033242797944694757 |
Compiled 33 to 15 computations (54.5% saved)
| 1× | egg-herbie |
| 182× | *-commutative_binary32 |
| 180× | neg-mul-1_binary32 |
| 144× | unsub-neg_binary32 |
| 132× | distribute-rgt-neg-in_binary32 |
| 126× | distribute-lft-neg-in_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 150 | 633 |
| 1 | 202 | 633 |
| 2 | 241 | 633 |
| 3 | 290 | 633 |
| 4 | 342 | 633 |
| 5 | 456 | 633 |
| 6 | 623 | 633 |
| 7 | 705 | 633 |
| 8 | 779 | 633 |
| 9 | 827 | 633 |
| 10 | 867 | 633 |
| 11 | 892 | 633 |
| 12 | 905 | 633 |
| 13 | 913 | 633 |
| 14 | 914 | 633 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s) |
(if (<=.f32 x #s(literal 2376845/39614081257132168796771975168 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (pow.f32 s #s(literal 4 binary32))))))) s)) |
(if (<=.f32 x #s(literal 11529215/4611686018427387904 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) (if (<=.f32 x #s(literal 2000000000 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) s)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s))) |
(if (<=.f32 x #s(literal 11529215/4611686018427387904 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) (if (<=.f32 x #s(literal 2000000000 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) s) s))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s))) |
(if (<=.f32 x #s(literal 7737125/38685626227668133590597632 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) (if (<=.f32 x #s(literal 1800 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s))) |
(if (<=.f32 x #s(literal 1800 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s)) |
(if (<=.f32 x #s(literal 7737125/38685626227668133590597632 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) (if (<=.f32 x #s(literal 1800 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(if (<=.f32 x #s(literal 6338253/1267650600228229401496703205376 binary32)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))) |
(if (<=.f32 x #s(literal 6338253/1267650600228229401496703205376 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))) |
(if (<=.f32 x #s(literal 15845633/158456325028528675187087900672 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)) |
(if (<=.f32 x #s(literal 15845633/158456325028528675187087900672 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)) |
(if (<=.f32 x #s(literal 9007199/4503599627370496 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)) |
(if (<=.f32 x #s(literal 6442451/2147483648 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))) |
(if (<=.f32 x #s(literal 6442451/2147483648 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 s (*.f32 x x))) |
(/.f32 #s(literal 1/4 binary32) s) |
| Outputs |
|---|
(/.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 (fabs.f32 x) s)))))) |
(/.f32 (/.f32 #s(literal 1/4 binary32) (exp.f32 (/.f32 (fabs.f32 x) s))) s) |
(if (<=.f32 x #s(literal 2376845/39614081257132168796771975168 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal 4 binary32))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 s s)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (pow.f32 s #s(literal 4 binary32))))))) s)) |
(if (<=.f32 x #s(literal 11529215/4611686018427387904 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) (if (<=.f32 x #s(literal 2000000000 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) (*.f32 s (*.f32 s s)))))) (/.f32 #s(literal 1 binary32) s)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s))) |
(if (<=.f32 x #s(literal 11529215/4611686018427387904 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s))))) s) (if (<=.f32 x #s(literal 2000000000 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s)) (/.f32 #s(literal -1 binary32) s)) (*.f32 s (*.f32 s s))))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))))) s))) |
(if (<=.f32 x #s(literal 11529215/4611686018427387904 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) (if (<=.f32 x #s(literal 2000000000 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) s) (+.f32 (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/4 binary32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s) s) s))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s))) |
(if (<=.f32 x #s(literal 11529215/4611686018427387904 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s))))) s) (if (<=.f32 x #s(literal 2000000000 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (/.f32 (/.f32 (/.f32 (*.f32 (+.f32 (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) (/.f32 (*.f32 s (+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal 1/4 binary32) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 x #s(literal -1/6 binary32))))))) s)) (/.f32 #s(literal -1 binary32) s)) s) s) s))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))))) s))) |
(if (<=.f32 x #s(literal 7737125/38685626227668133590597632 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) (if (<=.f32 x #s(literal 1800 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 s (*.f32 s s))) (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s))))))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s))) |
(if (<=.f32 x #s(literal 7737125/38685626227668133590597632 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s))))) s) (if (<=.f32 x #s(literal 1800 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (*.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (/.f32 #s(literal -1 binary32) (*.f32 s (*.f32 s s)))))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))))) s))) |
(if (<=.f32 x #s(literal 1800 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 (*.f32 x x) s) s) #s(literal 4 binary32)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s)) |
(if (<=.f32 x #s(literal 1800 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 x x) s) s)) (/.f32 (/.f32 (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) s) s) s))) s) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))))) s)) |
(if (<=.f32 x #s(literal 7737125/38685626227668133590597632 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) (if (<=.f32 x #s(literal 1800 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))) #s(literal 4 binary32))) s))) |
(if (<=.f32 x #s(literal 7737125/38685626227668133590597632 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s))))) s) (if (<=.f32 x #s(literal 1800 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 s (-.f32 (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (/.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1/12 binary32) (/.f32 (/.f32 s (*.f32 x x)) x)) (*.f32 x (/.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) s)))) (*.f32 s (*.f32 s s)))))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 (*.f32 x x) (*.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s))))) s))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 4 binary32))) s) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 4 binary32) (*.f32 x (/.f32 x (*.f32 s s))))) s) |
(if (<=.f32 x #s(literal 6338253/1267650600228229401496703205376 binary32)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))) |
(if (<=.f32 x #s(literal 6338253/1267650600228229401496703205376 binary32)) (/.f32 (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1/16 binary32) (/.f32 (/.f32 s x) (/.f32 x s)))) s) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))) |
(if (<=.f32 x #s(literal 6338253/1267650600228229401496703205376 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))))) |
(if (<=.f32 x #s(literal 6338253/1267650600228229401496703205376 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (*.f32 s (+.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))))) |
(if (<=.f32 x #s(literal 15845633/158456325028528675187087900672 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) s)) |
(if (<=.f32 x #s(literal 15845633/158456325028528675187087900672 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (/.f32 (/.f32 (*.f32 s s) x) x) s)) |
(if (<=.f32 x #s(literal 9007199/4503599627370496 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 s (/.f32 s (*.f32 x x))) s)) |
(if (<=.f32 x #s(literal 6442451/2147483648 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) s))) |
(if (<=.f32 x #s(literal 6442451/2147483648 binary32)) (/.f32 #s(literal 1/4 binary32) s) (/.f32 s (*.f32 x x))) |
(/.f32 #s(literal 1/4 binary32) s) |
| 4458× | *-lowering-*.f32 |
| 4458× | *-lowering-*.f64 |
| 4248× | *-lowering-*.f32 |
| 4248× | *-lowering-*.f64 |
| 3958× | *-lowering-*.f32 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 673 | 8760 |
| 1 | 2323 | 8284 |
| 2 | 7919 | 8284 |
| 0 | 8736 | 8284 |
| 0 | 388 | 4856 |
| 1 | 1280 | 4425 |
| 2 | 4993 | 4068 |
| 0 | 9189 | 4068 |
| 0 | 63 | 432 |
| 1 | 401 | 351 |
| 2 | 3930 | 343 |
| 0 | 8076 | 343 |
| 0 | 48 | 352 |
| 1 | 327 | 261 |
| 2 | 3529 | 235 |
| 0 | 8133 | 235 |
| 0 | 20 | 109 |
| 1 | 134 | 93 |
| 2 | 1024 | 89 |
| 0 | 8642 | 89 |
| 0 | 597 | 7346 |
| 1 | 1959 | 6893 |
| 2 | 7383 | 6891 |
| 0 | 8147 | 6891 |
| 0 | 322 | 2947 |
| 1 | 1062 | 2613 |
| 2 | 4049 | 2548 |
| 0 | 8288 | 2548 |
| 0 | 11 | 26 |
| 1 | 37 | 26 |
| 2 | 112 | 25 |
| 3 | 277 | 25 |
| 4 | 616 | 24 |
| 5 | 1112 | 18 |
| 6 | 1919 | 17 |
| 7 | 3778 | 16 |
| 8 | 6949 | 16 |
| 0 | 8503 | 16 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1492 to 737 computations (50.6% saved)
(abs x)
Compiled 1386 to 368 computations (73.4% saved)
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