
Time bar (total: 2.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 4 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 5 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 6 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 7 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 8 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 9 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 10 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 11 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 532.0ms | 8 256× | 0 | valid |
ival-div!: 114.0ms (39.3% of total)ival-exp: 92.0ms (31.7% of total)ival-neg: 61.0ms (21% of total)ival-add!: 21.0ms (7.2% of total)ival-and: 1.0ms (0.3% of total)adjust: 1.0ms (0.3% of total)ival-<=: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 50 |
| 1 | 76 | 50 |
| 2 | 161 | 50 |
| 3 | 556 | 50 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s) |
| 2.0ms | x | @ | 0 | ((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s) |
| 2.0ms | x | @ | inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s) |
| 2.0ms | s | @ | inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s) |
| 1.0ms | s | @ | 0 | ((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 784 |
| 0 | 189 | 698 |
| 1 | 1087 | 689 |
| 0 | 8157 | 663 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
| Outputs |
|---|
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
#s(literal 1 binary32) |
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (neg.f32 (sinh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s))))) (-.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (/.f32 x s))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (neg.f32 (sinh.f32 (/.f32 x s))) (neg.f32 (sinh.f32 (/.f32 x s)))) (*.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s))))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s)))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(*.f32 #s(literal -1 binary32) (/.f32 x s)) |
(*.f32 (/.f32 x s) #s(literal -1 binary32)) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s)) |
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 x) s) |
(/.f32 x (neg.f32 s)) |
(neg.f32 (/.f32 (neg.f32 (neg.f32 x)) s)) |
(neg.f32 (/.f32 x s)) |
(*.f32 #s(literal -1 binary32) x) |
(*.f32 x #s(literal -1 binary32)) |
(neg.f32 x) |
x |
s |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32)) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s)) |
#s(approx (neg x) (neg.f32 x)) |
#s(approx x x) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) |
#s(approx s s) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32) #s(literal -1/2 binary32))) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (-.f32 (/.f32 (neg.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32))))) (*.f32 (*.f32 s s) s)) #s(literal -1/2 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s)))) |
#s(approx (exp (/ (neg x) s)) (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal -1 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal -1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s) (neg.f32 (*.f32 #s(literal -1/4 binary32) x))) s) #s(literal -1/2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 #s(literal 2 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s) (neg.f32 x)) s))) |
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) (neg.f32 s)) #s(literal -1 binary32))) |
#s(approx (exp (/ (neg x) s)) (-.f32 (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s) (neg.f32 x)) s) #s(literal -1 binary32))) |
Compiled 1 391 to 342 computations (75.4% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 64 | 6 | 70 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 65 | 6 | 71 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
| ▶ | 38.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
| 99.3% | (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) | |
| ▶ | 12.1% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
| ▶ | 26.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ▶ | 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 216 to 162 computations (25% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
(/.f32 x s) |
#s(literal 1/4 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)) |
(fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) |
(-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) |
(/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) |
(*.f32 #s(literal 1/480 binary32) (*.f32 x x)) |
#s(literal 1/480 binary32) |
(*.f32 x x) |
(pow.f32 s #s(literal 5 binary32)) |
#s(literal 5 binary32) |
(/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s)) |
#s(literal 1/48 binary32) |
(*.f32 (*.f32 s s) s) |
(*.f32 s s) |
(/.f32 #s(literal 1/4 binary32) s) |
| Outputs |
|---|
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2)) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2)) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ -1/48 (pow s 3)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3)))))) |
#s(approx (/ (* 1/480 (* x x)) (pow s 5)) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 5))))) |
#s(approx (* 1/480 (* x x)) #s(hole binary32 (* 1/480 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4))))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 5)))) |
#s(approx (pow s 5) #s(hole binary32 (pow s 5))) |
#s(approx (/ 1/48 (* (* s s) s)) #s(hole binary32 (/ 1/48 (pow s 3)))) |
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s)))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48) (pow s 3)))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* -1 (/ (+ 1/48 (* -1/480 (/ (pow x 2) (pow s 2)))) (pow s 3))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | s | @ | -inf | ((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (* 1/480 (* x x)) (pow s 5)) (* 1/480 (* x x)) 1/480 (* x x) (pow s 5) 5 (/ 1/48 (* (* s s) s)) 1/48 (* (* s s) s) (* s s) (/ 1/4 s)) |
| 5.0ms | x | @ | 0 | ((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (* 1/480 (* x x)) (pow s 5)) (* 1/480 (* x x)) 1/480 (* x x) (pow s 5) 5 (/ 1/48 (* (* s s) s)) 1/48 (* (* s s) s) (* s s) (/ 1/4 s)) |
| 4.0ms | x | @ | inf | ((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (* 1/480 (* x x)) (pow s 5)) (* 1/480 (* x x)) 1/480 (* x x) (pow s 5) 5 (/ 1/48 (* (* s s) s)) 1/48 (* (* s s) s) (* s s) (/ 1/4 s)) |
| 4.0ms | s | @ | 0 | ((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (* 1/480 (* x x)) (pow s 5)) (* 1/480 (* x x)) 1/480 (* x x) (pow s 5) 5 (/ 1/48 (* (* s s) s)) 1/48 (* (* s s) s) (* s s) (/ 1/4 s)) |
| 4.0ms | x | @ | -inf | ((/ 1 (- (exp (/ (neg x) s)) -1)) 1 (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (* 1/480 (* x x)) (pow s 5)) (* 1/480 (* x x)) 1/480 (* x x) (pow s 5) 5 (/ 1/48 (* (* s s) s)) 1/48 (* (* s s) s) (* s s) (/ 1/4 s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 403 | 2672 |
| 0 | 436 | 2435 |
| 1 | 2332 | 2423 |
| 0 | 8347 | 2331 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
(/.f32 x s) |
#s(literal 1/4 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)) |
(fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) |
(-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) |
(/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) |
(*.f32 #s(literal 1/480 binary32) (*.f32 x x)) |
#s(literal 1/480 binary32) |
(*.f32 x x) |
(pow.f32 s #s(literal 5 binary32)) |
#s(literal 5 binary32) |
(/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s)) |
#s(literal 1/48 binary32) |
(*.f32 (*.f32 s s) s) |
(*.f32 s s) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 1/2)) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2)) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ -1/48 (pow s 3)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3)))))) |
#s(approx (/ (* 1/480 (* x x)) (pow s 5)) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 5))))) |
#s(approx (* 1/480 (* x x)) #s(hole binary32 (* 1/480 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4))))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 5)))) |
#s(approx (pow s 5) #s(hole binary32 (pow s 5))) |
#s(approx (/ 1/48 (* (* s s) s)) #s(hole binary32 (/ 1/48 (pow s 3)))) |
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s)))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48) (pow s 3)))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* -1 (/ (+ 1/48 (* -1/480 (/ (pow x 2) (pow s 2)))) (pow s 3))))) |
| Outputs |
|---|
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
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(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (neg.f32 (sinh.f32 (/.f32 x s)))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(*.f32 (/.f32 x s) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 x s)) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 x))) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 (/.f32 x s)) |
(*.f32 #s(literal -1 binary32) x) |
(*.f32 x #s(literal -1 binary32)) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
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(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
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(+.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)) |
(+.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 x) (neg.f32 s)) |
(/.f32 x s) |
#s(literal 1/4 binary32) |
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) #s(literal -1 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
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(/.f32 (fma.f32 (neg.f32 x) #s(literal 2 binary32) (*.f32 s #s(literal 4 binary32))) (+.f32 s s)) |
(/.f32 (fma.f32 #s(literal 4 binary32) (neg.f32 s) (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 x)))) (*.f32 #s(literal 2 binary32) (neg.f32 s))) |
(/.f32 (fma.f32 #s(literal 4 binary32) s (*.f32 #s(literal 2 binary32) (neg.f32 x))) (+.f32 s s)) |
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s)))) (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) |
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32))) (neg.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
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(/.f32 (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 x x) (*.f32 s s))) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) |
(/.f32 (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 4 binary32)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
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(-.f32 (/.f32 #s(literal 4 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) |
(-.f32 (/.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s))) |
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) |
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) |
(+.f32 (/.f32 #s(literal 8 binary32) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))) (/.f32 (/.f32 (*.f32 (*.f32 x x) (neg.f32 x)) (*.f32 (*.f32 s s) s)) (+.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))))) |
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(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)) |
#s(literal 2 binary32) |
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(fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) s)))) |
(fma.f32 #s(literal 1/480 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) (*.f32 #s(literal -1/48 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 s s) s)))) |
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(/.f32 (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/480 binary32))) (neg.f32 (pow.f32 s #s(literal 5 binary32)))) |
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(*.f32 (*.f32 #s(literal 1/480 binary32) x) x) |
(*.f32 (*.f32 x x) #s(literal 1/480 binary32)) |
(*.f32 #s(literal 1/480 binary32) (*.f32 x x)) |
#s(literal 1/480 binary32) |
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(*.f32 x x) |
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 2 binary32)) |
(pow.f32 (fabs.f32 x) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1 binary32)) |
(pow.f32 (neg.f32 x) #s(literal 2 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
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(fabs.f32 (*.f32 x x)) |
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(pow.f32 (pow.f32 s #s(literal 5/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 s s) #s(literal 5/2 binary32)) |
(pow.f32 s #s(literal 5 binary32)) |
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(exp.f32 (*.f32 (log.f32 s) #s(literal 5 binary32))) |
#s(literal 5 binary32) |
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(/.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 s s)) s) |
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#s(literal 1/48 binary32) |
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(*.f32 (*.f32 s s) s) |
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(pow.f32 (pow.f32 s #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 s s) #s(literal 3/2 binary32)) |
(pow.f32 s #s(literal 3 binary32)) |
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(pow.f32 s #s(literal 2 binary32)) |
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#s(approx (neg x) (neg.f32 x)) |
#s(approx x x) |
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#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)) |
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#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (pow.f32 x #s(literal 5 binary32)))) |
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#s(approx (+ (/ (neg x) s) 2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))) (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32))) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))) (fma.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s)))) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (neg.f32 (*.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) (*.f32 (*.f32 x x) (*.f32 x x)))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32))) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx s s) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)) |
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (*.f32 (*.f32 s s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) x) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 s s) x) #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32))) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32) (*.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s s))) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (*.f32 s s) #s(literal -1/48 binary32)) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (*.f32 s s) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (fma.f32 (*.f32 s s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (pow s 5) (pow.f32 s #s(literal 5 binary32))) |
#s(approx (/ 1/48 (* (* s s) s)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) |
#s(approx (* (* s s) s) (*.f32 (*.f32 s s) s)) |
#s(approx (* s s) (*.f32 s s)) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32)))))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s)))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (fma.f32 (exp.f32 (-.f32 (*.f32 (log.f32 x) #s(literal 5 binary32)) (*.f32 (log.f32 s) #s(literal 5 binary32)))) #s(literal 1/480 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/480 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32)))) s)) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (- (exp (/ (neg x) s)) -1)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s)))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)) #s(literal 2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s)))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (fma.f32 #s(literal -1/480 binary32) (/.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (*.f32 s s) (*.f32 s s))) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32)))) s)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/480 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32))) s))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (neg.f32 (/.f32 (fma.f32 #s(literal -1/480 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s)))) |
Compiled 11 493 to 1 546 computations (86.5% saved)
9 alts after pruning (5 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 278 | 4 | 282 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 279 | 9 | 288 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
| ✓ | 38.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
| ▶ | 38.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))) |
| ▶ | 99.3% | (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
| ▶ | 16.5% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
| ✓ | 26.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ▶ | 20.8% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
| ▶ | 7.3% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
| ✓ | 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 400 to 276 computations (31% saved)
| Inputs |
|---|
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
#s(literal -1/2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) |
(*.f32 (/.f32 x s) #s(literal 1/4 binary32)) |
(/.f32 x s) |
#s(literal 1/4 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))) |
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x) |
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) s) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
(fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s) |
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(*.f32 x x) |
(*.f32 s s) |
#s(literal -1/48 binary32) |
#s(literal 1/2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)) |
(fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s)) |
(-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) |
(*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) |
#s(literal 1/480 binary32) |
#s(literal 1/48 binary32) |
(*.f32 (*.f32 s s) s) |
(/.f32 #s(literal 1/4 binary32) s) |
| Outputs |
|---|
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow 2 -1/2) 2))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2)))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))))))) (pow (pow 2 -1/2) 2)))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (+ (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* x (+ (* -5/192 (/ (pow (pow 2 -1/2) 2) (pow s 3))) (* -1/64 (/ (pow (pow 2 -1/2) 2) (pow s 3)))))))))) (pow (pow 2 -1/2) 2)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow 2 -1/2))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (pow 2 -1/2)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* -1/32 (/ (* x (pow 2 -1/2)) (pow s 2))) (* 1/4 (/ (pow 2 -1/2) s)))) (pow 2 -1/2)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* 1/4 (/ (pow 2 -1/2) s)) (* x (+ (* -1/32 (/ (pow 2 -1/2) (pow s 2))) (* -5/384 (/ (* x (pow 2 -1/2)) (pow s 3))))))) (pow 2 -1/2)))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2)) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 1/4)) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))) |
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ -1/48 (pow s 3)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3)))))) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 -1/48)) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48))) |
#s(approx (* (/ (* x x) (* s s)) 1/480) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 2))))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow (+ 1 (exp (* -1 (/ x s)))) -1/2) 2))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) -1/2))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3))))) |
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2))))))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 5))))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 2))) (* 1/48 (/ 1 (pow x 2))))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4))))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s))) |
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5)))) |
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 5)))) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 2)))) |
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (pow (pow 2 -1/2) 2)))))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))) (pow s 3))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow (pow 2 -1/2) 2)) (pow s 3))) (pow (pow 2 -1/2) 2)))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (pow 2 -1/2))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (+ (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow 2 -1/2)) (pow s 3)) (pow 2 -1/2)))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s)))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48) (pow s 3)))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2)))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) (* 2 (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow (pow 2 -1/2) 2)))) s)) (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow 2 -1/2)) s)) (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2))) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2)))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* -1 (/ (+ 1/48 (* -1/480 (/ (pow x 2) (pow s 2)))) (pow s 3))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | x | @ | inf | ((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (* s s) s)) (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (/ (* x x) (* s s)) 1/480) 1/480 1/48 (* (* s s) s) (/ 1/4 s)) |
| 26.0ms | s | @ | 0 | ((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (* s s) s)) (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (/ (* x x) (* s s)) 1/480) 1/480 1/48 (* (* s s) s) (/ 1/4 s)) |
| 26.0ms | s | @ | inf | ((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (* s s) s)) (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (/ (* x x) (* s s)) 1/480) 1/480 1/48 (* (* s s) s) (/ 1/4 s)) |
| 23.0ms | x | @ | -inf | ((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (* s s) s)) (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (/ (* x x) (* s s)) 1/480) 1/480 1/48 (* (* s s) s) (/ 1/4 s)) |
| 5.0ms | s | @ | -inf | ((* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (pow (- (exp (/ (neg x) s)) -1) -1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ x s) 1/4) (/ x s) 1/4 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/ (* x x) (* s s)) (* x x) (* s s) -1/48 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/ (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (* s s) s)) (- (* (/ (* x x) (* s s)) 1/480) 1/48) (* (/ (* x x) (* s s)) 1/480) 1/480 1/48 (* (* s s) s) (/ 1/4 s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 633 | 4616 |
| 0 | 679 | 4087 |
| 1 | 3800 | 3877 |
| 0 | 8599 | 3672 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
#s(literal -1/2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) |
(*.f32 (/.f32 x s) #s(literal 1/4 binary32)) |
(/.f32 x s) |
#s(literal 1/4 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x))) |
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)) |
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x) |
(-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) s) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
(fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s) |
(fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(*.f32 x x) |
(*.f32 s s) |
#s(literal -1/48 binary32) |
#s(literal 1/2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)) |
(fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s)) |
(-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) |
(*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) |
#s(literal 1/480 binary32) |
#s(literal 1/48 binary32) |
(*.f32 (*.f32 s s) s) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow 2 -1/2) 2))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (pow (pow 2 -1/2) 2)))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))))))) (pow (pow 2 -1/2) 2)))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* x (+ (* 1/2 (/ (pow (pow 2 -1/2) 2) s)) (* x (+ (* -1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (+ (* 1/16 (/ (pow (pow 2 -1/2) 2) (pow s 2))) (* x (+ (* -5/192 (/ (pow (pow 2 -1/2) 2) (pow s 3))) (* -1/64 (/ (pow (pow 2 -1/2) 2) (pow s 3)))))))))) (pow (pow 2 -1/2) 2)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow 2 -1/2))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (pow 2 -1/2)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* -1/32 (/ (* x (pow 2 -1/2)) (pow s 2))) (* 1/4 (/ (pow 2 -1/2) s)))) (pow 2 -1/2)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* x (+ (* 1/4 (/ (pow 2 -1/2) s)) (* x (+ (* -1/32 (/ (pow 2 -1/2) (pow s 2))) (* -5/384 (/ (* x (pow 2 -1/2)) (pow s 3))))))) (pow 2 -1/2)))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2)) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 1/4)) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))) |
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ -1/48 (pow s 3)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3)))))) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 -1/48)) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48))) |
#s(approx (* (/ (* x x) (* s s)) 1/480) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 2))))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (pow (pow (+ 1 (exp (* -1 (/ x s)))) -1/2) 2))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (pow (+ 1 (exp (* -1 (/ x s)))) -1/2))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3))))) |
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2))))))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* 1/480 (/ (pow x 2) (pow s 5))))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (* (pow x 2) (- (* 1/480 (/ 1 (pow s 2))) (* 1/48 (/ 1 (pow x 2))))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4))))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s))) |
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5)))) |
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 5)))) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(hole binary32 (/ (+ (* -1/48 (pow s 2)) (* 1/480 (pow x 2))) (pow s 2)))) |
#s(approx (* (* s s) s) #s(hole binary32 (pow s 3))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (pow (pow 2 -1/2) 2)))))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* 1/16 (/ (* (pow x 2) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 1/2 (/ (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))) (pow s 3))) (+ (* 1/2 (/ (* x (pow (pow 2 -1/2) 2)) s)) (+ (* 2 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)) (pow s 2))) (+ (* 2 (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow (pow 2 -1/2) 2)) (pow s 3))) (pow (pow 2 -1/2) 2)))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (pow 2 -1/2))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* 1/4 (/ (* x (pow 2 -1/2)) s)) (+ (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) (pow s 2)) (+ (/ (* (+ (* -1/12 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (+ (* -1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/384 (pow x 3)))) (pow 2 -1/2)) (pow s 3)) (pow 2 -1/2)))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s)))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (/ (- (* 1/480 (/ (pow x 2) (pow s 2))) 1/48) (pow s 3)))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2)))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2)))) (* 2 (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow (pow 2 -1/2) 2)))) s)) (+ (* 1/16 (* (pow x 2) (pow (pow 2 -1/2) 2))) (* 2 (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow (pow 2 -1/2) 2))))) s)) (* -1/2 (* x (pow (pow 2 -1/2) 2)))) s)) (pow (pow 2 -1/2) 2)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2)) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ (* -1/12 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/384 (pow x 3)) (* 1/16 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) (pow 2 -1/2)) s)) (* (+ (* -1/4 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/32 (pow x 2))) (pow 2 -1/2))) s)) (* -1/4 (* x (pow 2 -1/2)))) s)) (pow 2 -1/2)))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) #s(hole binary32 (* -1 (/ (+ 1/48 (* -1/480 (/ (pow x 2) (pow s 2)))) (pow s 3))))) |
| Outputs |
|---|
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) (neg.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))) |
(*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) |
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(pow.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32)) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(fabs.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32) (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32))) |
(*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)))) |
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) |
(pow.f32 (exp.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/4 binary32)) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)))) |
(fabs.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) |
(fabs.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32))) |
(/.f32 (neg.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (neg.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(/.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
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#s(approx (- (exp (/ (neg x) s)) -1) #s(literal 2 binary32)) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s)) |
#s(approx (neg x) (neg.f32 x)) |
#s(approx x x) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (*.f32 x x) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (* (/ x s) 1/4) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
#s(approx (/ x s) (/.f32 x s)) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) x)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (fma.f32 (*.f32 x x) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) #s(literal 1/4 binary32)) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) #s(literal 1/4 binary32))) |
#s(approx (/ (* x x) (* s s)) (*.f32 x (/.f32 x (*.f32 s s)))) |
#s(approx (* x x) (*.f32 x x)) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 #s(literal -1/48 binary32) (*.f32 (*.f32 s s) s))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s)))) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) #s(literal -1/48 binary32)) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/480 binary32)) #s(literal 1/48 binary32))) |
#s(approx (* (/ (* x x) (* s s)) 1/480) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/480 binary32))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)) |
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) |
#s(approx (- (/ 2 x) (/ 1 s)) (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (*.f32 (exp.f32 (-.f32 (*.f32 (log.f32 x) #s(literal 5 binary32)) (*.f32 (log.f32 s) #s(literal 5 binary32)))) #s(literal 1/480 binary32))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (pow.f32 x #s(literal 5 binary32)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (fma.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (pow.f32 x #s(literal 5 binary32)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -5 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (pow.f32 x #s(literal 5 binary32)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (*.f32 (-.f32 (fma.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (*.f32 (*.f32 x x) (*.f32 x x)))) |
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (*.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32))) |
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/48 binary32) (*.f32 s s))) (*.f32 x x))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (*.f32 (-.f32 (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (*.f32 x x))) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) (*.f32 (-.f32 (/.f32 #s(literal 1/480 binary32) (*.f32 s s)) (/.f32 #s(literal 1/48 binary32) (*.f32 x x))) (*.f32 x x))) |
#s(approx (+ (/ (neg x) s) 2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))) (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32))) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))) (fma.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s)))) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (neg.f32 (*.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) (*.f32 (*.f32 x x) (*.f32 x x)))) (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))) (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32)))) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx s s) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)) |
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (-.f32 (/.f32 (+.f32 s s) x) #s(literal 1 binary32)) s)) |
#s(approx (/ 1 s) (/.f32 #s(literal 1 binary32) s)) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (*.f32 (*.f32 s s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) x) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 s s) x) #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32))) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32) (*.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s))) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (*.f32 s s) #s(literal -1/48 binary32)) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal -1/48 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 s s) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (/ (+ (* (/ (* x x) (* s s)) -1/48) 1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/48 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))) |
#s(approx (+ (* (/ (* x x) (* s s)) -1/48) 1/4) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/48 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 s s))) |
#s(approx (* s s) (*.f32 s s)) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/480 binary32) (*.f32 (*.f32 s s) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (- (* (/ (* x x) (* s s)) 1/480) 1/48) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/480 binary32) (*.f32 (*.f32 s s) #s(literal -1/48 binary32))) (*.f32 s s))) |
#s(approx (* (* s s) s) (*.f32 (*.f32 s s) s)) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (fma.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal 2 binary32) #s(literal 1/2 binary32))))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (fma.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32)) #s(literal 1/16 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) x) (*.f32 (*.f32 s s) s)) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) (*.f32 s s)) #s(literal 2 binary32) (fma.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal -1/16 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 s s) s))) #s(literal 2 binary32) #s(literal 1/2 binary32))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (*.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) x) s) #s(literal 1/4 binary32) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (*.f32 s s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (fma.f32 (/.f32 (*.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) x) s) #s(literal 1/4 binary32) (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (*.f32 s s)) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/2 binary32))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal -1/16 binary32)))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (*.f32 (*.f32 s s) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)))))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s)))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 0 binary32)))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) #s(literal 1/2 binary32))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (fma.f32 (exp.f32 (-.f32 (*.f32 (log.f32 x) #s(literal 5 binary32)) (*.f32 (log.f32 s) #s(literal 5 binary32)))) #s(literal 1/480 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/480 binary32) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal -1/48 binary32)))) s)) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/16 binary32))) s))) s)))) |
#s(approx (* (pow (- (exp (/ (neg x) s)) -1) -1/2) (pow (- (exp (/ (neg x) s)) -1) -1/2)) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/16 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32))) s)) (fma.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) #s(literal 1/2 binary32)) #s(literal 2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 1/16 binary32)))) s))) s)) #s(literal 1/2 binary32))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) x) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (*.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) s)))) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) -1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) x) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/32 binary32) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/4 binary32))) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) (neg.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (*.f32 (*.f32 x x) x) (*.f32 #s(literal 3/4 binary32) (*.f32 (*.f32 x x) x))) #s(literal -1/12 binary32) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/384 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/16 binary32)))) (/.f32 (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)) s)))) s))) s)) (pow.f32 #s(literal 4 binary32) #s(literal -1/4 binary32)))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s)))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (fma.f32 #s(literal -1/480 binary32) (/.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (*.f32 s s) (*.f32 s s))) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32)))) s)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/480 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) (-.f32 (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/48 binary32)) #s(literal 1/4 binary32))) s))) |
#s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (neg.f32 (/.f32 (fma.f32 #s(literal -1/480 binary32) (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s)))) |
Compiled 19 059 to 2 150 computations (88.7% saved)
15 alts after pruning (7 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 357 | 7 | 364 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 358 | 15 | 373 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) | |
| 99.3% | (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32)) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
| ✓ | 38.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
| ▶ | 35.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))) |
| ✓ | 38.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))) |
| ▶ | 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) |
| ▶ | 18.8% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))) |
| ▶ | 99.3% | (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) |
| ✓ | 16.5% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
| ✓ | 26.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ✓ | 20.8% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
| ▶ | 24.0% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
| ✓ | 7.3% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
| ✓ | 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 581 to 405 computations (30.3% saved)
| Inputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) |
#s(literal 1 binary32) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))) |
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)) |
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) |
(/.f32 #s(literal -1 binary32) s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x))) |
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)) |
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) |
(/.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))) |
#s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)) |
(*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x) |
(/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) |
(-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) |
(+.f32 s s) |
(*.f32 x #s(literal 1 binary32)) |
(*.f32 x s) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
(fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s) |
(fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) |
(*.f32 (/.f32 x s) (/.f32 x s)) |
(/.f32 x s) |
#s(literal -1/48 binary32) |
#s(literal 1/4 binary32) |
| Outputs |
|---|
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (/ 1 (pow (sqrt 2) 2)))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (/ 1 (pow (sqrt 2) 2)) (/ x (* s (pow (sqrt 2) 4)))))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* x (+ (* x (- (/ 1 (* (pow s 2) (pow (sqrt 2) 6))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4)))))) (/ 1 (* s (pow (sqrt 2) 4))))) (/ 1 (pow (sqrt 2) 2))))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* x (+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3)))) (pow (sqrt 2) 4))) (+ (* -1 (/ (- (/ 1 (* (pow s 2) (pow (sqrt 2) 6))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 6)))) (* 1/2 (/ 1 (* (pow s 3) (pow (sqrt 2) 6))))))))) (/ 1 (* (pow s 2) (pow (sqrt 2) 6)))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4)))))) (/ 1 (* s (pow (sqrt 2) 4))))) (/ 1 (pow (sqrt 2) 2))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (/ 1 (sqrt 2)))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* 1/2 (/ x (* s (pow (sqrt 2) 3)))) (/ 1 (sqrt 2))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* x (+ (* x (- (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (* s (pow (sqrt 2) 3)))))) (/ 1 (sqrt 2))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* x (+ (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3)))) (pow (sqrt 2) 3))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3)))) (* s (pow (sqrt 2) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 5)))))))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5))))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (* s (pow (sqrt 2) 3)))))) (/ 1 (sqrt 2))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (sqrt 2))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1/2 (/ x (* s (sqrt 2))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* x (- (* 1/2 (/ (* x (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ 1 (* s (sqrt 2))))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* x (- (* x (+ (* -1/2 (/ (* x (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3))))) (sqrt 2))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (sqrt 2))))) (* 1/2 (/ 1 (* s (sqrt 2))))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2)) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* 2 s))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (+ (* -1 x) (* 2 s)))) |
#s(approx (* x s) #s(hole binary32 (* s x))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 1/4)) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))) |
#s(approx (* (/ x s) (/ x s)) #s(hole binary32 (/ (pow x 2) (pow s 2)))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (/ 1 (pow (sqrt (+ 1 (exp (* -1 (/ x s))))) 2)))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (/ 1 (sqrt (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (sqrt (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s)))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3))))) |
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2))))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4))))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (- (* 2 s) x))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5)))) |
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4)))) (pow s 2))) (/ 1 (pow (sqrt 2) 2))) (* -1 (/ x (* s (pow (sqrt 2) 4))))))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/6 (/ (pow x 3) (pow (sqrt 2) 4))) (+ (* 1/2 (/ (pow x 3) (pow (sqrt 2) 6))) (/ (* x (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) (pow (sqrt 2) 2)))) (pow s 3))) (/ 1 (pow (sqrt 2) 2))) (+ (* -1 (/ x (* s (pow (sqrt 2) 4)))) (+ (* -1 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 6)))) (* 1/2 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 4))))))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3)))) (pow s 2))) (/ 1 (sqrt 2))) (* -1/2 (/ x (* s (pow (sqrt 2) 3))))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (- (+ (* -1 (/ (+ (* 1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 5))) (+ (* 1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (pow (sqrt 2) 2))) (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (pow s 3))) (/ 1 (sqrt 2))) (+ (* -1/2 (/ x (* s (pow (sqrt 2) 3)))) (+ (* -1/4 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (pow (sqrt 2) 3))))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 2)))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* (pow s 3) (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 2))))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s)))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s)))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* s (pow (sqrt 2) 6)))) (* 1/2 (/ (pow x 2) (* s (pow (sqrt 2) 4))))) (/ x (pow (sqrt 2) 4))) s)) (/ 1 (pow (sqrt 2) 2))))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (pow x 3) (* s (pow (sqrt 2) 6)))) (* 1/6 (/ (pow x 3) (* s (pow (sqrt 2) 4)))))) (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) s)) (/ x (pow (sqrt 2) 4))) s)) (/ 1 (pow (sqrt 2) 2))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow x 2) (* s (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* s (pow (sqrt 2) 3))))) (* 1/2 (/ x (pow (sqrt 2) 3)))) s)) (/ 1 (sqrt 2))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* s (pow (sqrt 2) 3)))))) (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) s)) (* 1/2 (/ x (pow (sqrt 2) 3)))) s)) (/ 1 (sqrt 2))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ x (sqrt 2)))) s))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (sqrt 2)))) s)) (* 1/2 (/ x (sqrt 2)))) s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* s (- (/ x s) 2))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | s | @ | 0 | ((* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) 1 (pow (- (exp (/ (neg x) s)) -1) 1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/48 1/4) |
| 6.0ms | x | @ | 0 | ((* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) 1 (pow (- (exp (/ (neg x) s)) -1) 1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/48 1/4) |
| 6.0ms | s | @ | inf | ((* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) 1 (pow (- (exp (/ (neg x) s)) -1) 1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/48 1/4) |
| 6.0ms | x | @ | -inf | ((* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) 1 (pow (- (exp (/ (neg x) s)) -1) 1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/48 1/4) |
| 5.0ms | x | @ | inf | ((* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) 1 (pow (- (exp (/ (neg x) s)) -1) 1/2) (- (exp (/ (neg x) s)) -1) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s -1 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ -1 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (- (/ 2 x) (/ 1 s)) x) (- (/ 2 x) (/ 1 s)) (/ 2 x) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (/ (neg x) s) 2) (* (/ (- (+ s s) (* x 1)) (* x s)) x) (/ (- (+ s s) (* x 1)) (* x s)) (- (+ s s) (* x 1)) (+ s s) (* x 1) (* x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (* (/ x s) (/ x s)) (/ x s) -1/48 1/4) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 734 | 5163 |
| 0 | 767 | 4302 |
| 1 | 4583 | 4268 |
| 0 | 8335 | 4056 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) |
#s(literal 1 binary32) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x))) |
#s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)) |
(*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) |
(/.f32 #s(literal -1 binary32) s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) |
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#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) |
(/.f32 #s(literal 2 binary32) x) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x))) |
#s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)) |
(*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x) |
(/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) |
(-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) |
(+.f32 s s) |
(*.f32 x #s(literal 1 binary32)) |
(*.f32 x s) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
(fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) |
(/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s) |
(fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) |
(*.f32 (/.f32 x s) (/.f32 x s)) |
(/.f32 x s) |
#s(literal -1/48 binary32) |
#s(literal 1/4 binary32) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (/ 1 (pow (sqrt 2) 2)))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (/ 1 (pow (sqrt 2) 2)) (/ x (* s (pow (sqrt 2) 4)))))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* x (+ (* x (- (/ 1 (* (pow s 2) (pow (sqrt 2) 6))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4)))))) (/ 1 (* s (pow (sqrt 2) 4))))) (/ 1 (pow (sqrt 2) 2))))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* x (+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3)))) (pow (sqrt 2) 4))) (+ (* -1 (/ (- (/ 1 (* (pow s 2) (pow (sqrt 2) 6))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 6)))) (* 1/2 (/ 1 (* (pow s 3) (pow (sqrt 2) 6))))))))) (/ 1 (* (pow s 2) (pow (sqrt 2) 6)))) (* 1/2 (/ 1 (* (pow s 2) (pow (sqrt 2) 4)))))) (/ 1 (* s (pow (sqrt 2) 4))))) (/ 1 (pow (sqrt 2) 2))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (/ 1 (sqrt 2)))) |
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#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* x (+ (* x (- (+ (* -1 (* x (+ (* -1/2 (/ (+ (* -1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 2)))) (* 1/6 (/ 1 (pow s 3)))) (pow (sqrt 2) 3))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3)))) (* s (pow (sqrt 2) 2)))) (* 1/4 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 5)))))))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 5))))) (* 1/2 (/ (- (* 1/2 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* (pow s 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 3))))) (* 1/2 (/ 1 (* s (pow (sqrt 2) 3)))))) (/ 1 (sqrt 2))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (sqrt 2))) |
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#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 2)) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
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#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ 2 x))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (+ 2 (* -1 (/ x s))) x))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* 2 s))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (+ (* -1 x) (* 2 s)))) |
#s(approx (* x s) #s(hole binary32 (* s x))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 1/4)) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))))) |
#s(approx (* (/ x s) (/ x s)) #s(hole binary32 (/ (pow x 2) (pow s 2)))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (/ 1 (pow (sqrt (+ 1 (exp (* -1 (/ x s))))) 2)))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (/ 1 (sqrt (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (sqrt (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (- (* 2 (/ 1 x)) (/ 1 s)))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* x (- (* 2 (/ s x)) 1)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* 1/480 (/ (pow x 5) (pow s 5))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 5) (- (+ (* 1/4 (/ 1 (* s (pow x 4)))) (+ (* 1/480 (/ 1 (pow s 5))) (* 1/2 (/ 1 (pow x 5))))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* 1/480 (/ (pow x 4) (pow s 5))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (* 1/480 (/ 1 (pow s 5))) (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* (pow x 4) (- (+ (/ 1/4 (* s (pow x 4))) (* 1/480 (/ 1 (pow s 5)))) (/ 1/48 (* (pow s 3) (pow x 2))))))) |
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3))))) |
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) (* 1/48 (/ 1 (pow s 2))))))) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* x (+ 1 (* -2 (/ s x))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/48 (/ 1 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (/ 1/48 (* (pow s 3) (pow x 2))) (+ (* 1/480 (/ 1 (pow s 5))) (/ 1/4 (* s (pow x 4))))))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 5) (- (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 4))) (/ 1/48 (* (pow s 3) (pow x 2)))) (* 1/480 (/ 1 (pow s 5)))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (+ (/ (neg x) s) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (- (/ 2 x) (/ 1 s)) #s(hole binary32 (/ (- (* 2 (/ s x)) 1) s))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (- (* 2 s) x))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 3))) (* 1/480 (pow x 5))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))))) (pow s 5)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* 1/480 (pow x 5)) (* (pow s 2) (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (* (pow s 2) (pow x 2))) (* 1/480 (pow x 4))) (pow s 5)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ (* 1/480 (pow x 4)) (* (pow s 2) (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))))) (pow s 5)))) |
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 2)))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4)))) (pow s 2))) (/ 1 (pow (sqrt 2) 2))) (* -1 (/ x (* s (pow (sqrt 2) 4))))))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/6 (/ (pow x 3) (pow (sqrt 2) 4))) (+ (* 1/2 (/ (pow x 3) (pow (sqrt 2) 6))) (/ (* x (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) (pow (sqrt 2) 2)))) (pow s 3))) (/ 1 (pow (sqrt 2) 2))) (+ (* -1 (/ x (* s (pow (sqrt 2) 4)))) (+ (* -1 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 6)))) (* 1/2 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 4))))))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (- (+ (* -1 (/ (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3)))) (pow s 2))) (/ 1 (sqrt 2))) (* -1/2 (/ x (* s (pow (sqrt 2) 3))))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (- (+ (* -1 (/ (+ (* 1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 5))) (+ (* 1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (pow (sqrt 2) 2))) (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (pow s 3))) (/ 1 (sqrt 2))) (+ (* -1/2 (/ x (* s (pow (sqrt 2) 3)))) (+ (* -1/4 (/ (pow x 2) (* (pow s 2) (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (pow (sqrt 2) 3))))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 2)))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (+ (* -1/2 (/ x (* s (sqrt 2)))) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (* -1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* (pow s 3) (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* (pow s 2) (sqrt 2))))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* s (+ 2 (* -1 (/ x s)))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s)))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/480 (/ (pow x 5) (pow s 5))) (* 1/4 (/ x s))))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (+ (* -1/48 (/ (pow x 2) (pow s 2))) (* 1/480 (/ (pow x 4) (pow s 4))))) s))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* -1 (/ (- (+ (* -1 (/ (pow x 2) (* s (pow (sqrt 2) 6)))) (* 1/2 (/ (pow x 2) (* s (pow (sqrt 2) 4))))) (/ x (pow (sqrt 2) 4))) s)) (/ 1 (pow (sqrt 2) 2))))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/2 (/ (pow x 3) (* s (pow (sqrt 2) 6)))) (* 1/6 (/ (pow x 3) (* s (pow (sqrt 2) 4)))))) (+ (* -1 (/ (pow x 2) (pow (sqrt 2) 6))) (* 1/2 (/ (pow x 2) (pow (sqrt 2) 4))))) s)) (/ x (pow (sqrt 2) 4))) s)) (/ 1 (pow (sqrt 2) 2))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* -1 (/ (- (+ (* -1/4 (/ (pow x 2) (* s (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* s (pow (sqrt 2) 3))))) (* 1/2 (/ x (pow (sqrt 2) 3)))) s)) (/ 1 (sqrt 2))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) (* s (pow (sqrt 2) 2)))) (+ (* -1/4 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (* s (pow (sqrt 2) 5)))) (* 1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* s (pow (sqrt 2) 3)))))) (+ (* -1/4 (/ (pow x 2) (pow (sqrt 2) 5))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (pow (sqrt 2) 3))))) s)) (* 1/2 (/ x (pow (sqrt 2) 3)))) s)) (/ 1 (sqrt 2))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ x (sqrt 2)))) s))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) #s(hole binary32 (+ (sqrt 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (* 1/2 (/ (* x (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2))))) (pow (sqrt 2) 2)))) (* s (sqrt 2)))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (* 1/4 (/ (pow x 2) (pow (sqrt 2) 2)))) (sqrt 2)))) s)) (* 1/2 (/ x (sqrt 2)))) s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (- (+ s s) (* x 1)) #s(hole binary32 (* -1 (* s (- (/ x s) 2))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (+ (* -1/480 (/ (pow x 5) (pow s 4))) (* 1/48 (/ (pow x 3) (pow s 2))))) s))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (+ (* -1/480 (/ (pow x 4) (pow s 4))) (* 1/48 (/ (pow x 2) (pow s 2)))) 1/4) s)))) |
| Outputs |
|---|
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) (neg.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))) |
(*.f32 (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) |
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -2 binary32))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fabs.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32)) |
(pow.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -2 binary32)) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(fabs.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(pow.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) |
(exp.f32 (neg.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/2 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1/2 binary32)) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32))) |
#s(literal 1 binary32) |
(*.f32 (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32)))) |
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/4 binary32))) |
(sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
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#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (fma.f32 (/.f32 x (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) s)) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (fma.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)) (*.f32 s s))) (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 1/4 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) x (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) s))) x (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))))) |
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#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (sqrt.f32 #s(literal 2 binary32))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32)))) |
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#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 x (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 1/4 binary32))) (+.f32 s s)) #s(literal -1/2 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 s s) s))) (sqrt.f32 #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) #s(literal 1/4 binary32))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32))) x) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) s))) x (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (- (exp (/ (neg x) s)) -1) #s(literal 2 binary32)) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s)) |
#s(approx (neg x) (neg.f32 x)) |
#s(approx x x) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (*.f32 x x) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/480 binary32) x) x) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) x)) |
#s(approx (- (+ s s) (* x 1)) (+.f32 s s)) |
#s(approx (- (+ s s) (* x 1)) (fma.f32 #s(literal 2 binary32) s (neg.f32 x))) |
#s(approx (* x s) (*.f32 s x)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (fma.f32 (*.f32 x x) (-.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/480 binary32) x) x) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) #s(literal 1/4 binary32)) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32))) |
#s(approx (* (/ x s) (/ x s)) (/.f32 (*.f32 x x) (*.f32 s s))) |
#s(approx (/ x s) (/.f32 x s)) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (sqrt.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
#s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) |
#s(approx (- (/ 2 x) (/ 1 s)) (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s))) |
#s(approx (- (+ s s) (* x 1)) (*.f32 (-.f32 (/.f32 (+.f32 s s) x) #s(literal 1 binary32)) x)) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (*.f32 (exp.f32 (-.f32 (*.f32 (log.f32 x) #s(literal 5 binary32)) (*.f32 (log.f32 s) #s(literal 5 binary32)))) #s(literal 1/480 binary32))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (pow.f32 x #s(literal 5 binary32)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (fma.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (pow.f32 x #s(literal 5 binary32)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -5 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (pow.f32 x #s(literal 5 binary32)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32)) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (-.f32 (*.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (*.f32 (-.f32 (fma.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)))) (*.f32 (*.f32 x x) (*.f32 x x)))) |
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (*.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32))) |
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (/.f32 #s(literal 1/48 binary32) (*.f32 s s))) (*.f32 x x))) |
#s(approx (+ (/ (neg x) s) 2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x))) |
#s(approx (- (+ s s) (* x 1)) (neg.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 s x) #s(literal 1 binary32)) x))) |
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#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 s s) s))) (fma.f32 (pow.f32 s #s(literal -5 binary32)) #s(literal 1/480 binary32) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) s)))) (pow.f32 x #s(literal 5 binary32))))) |
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#s(approx s s) |
#s(approx (+ (/ (neg x) s) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)) |
#s(approx (- (/ 2 x) (/ 1 s)) (/.f32 (-.f32 (/.f32 (+.f32 s s) x) #s(literal 1 binary32)) s)) |
#s(approx (- (+ s s) (* x 1)) (-.f32 (+.f32 s s) x)) |
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#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 s s) x) #s(literal 1/4 binary32) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32))) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s s) (*.f32 (*.f32 (*.f32 x x) x) #s(literal -1/48 binary32))) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 #s(literal -1/48 binary32) (*.f32 s s)) (*.f32 x x) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (fma.f32 (*.f32 x x) #s(literal -1/48 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 s s) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1/480 binary32))) (pow.f32 s #s(literal 5 binary32)))) |
#s(approx (/ (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) s) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/48 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))) |
#s(approx (+ (* (* (/ x s) (/ x s)) -1/48) 1/4) (/.f32 (fma.f32 (*.f32 x x) #s(literal -1/48 binary32) (*.f32 (*.f32 s s) #s(literal 1/4 binary32))) (*.f32 s s))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 8 binary32)))) (*.f32 s s))) #s(literal 1/2 binary32)) (/.f32 (neg.f32 x) (*.f32 #s(literal 4 binary32) s)))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (-.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) #s(literal 4 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) #s(literal 8 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 8 binary32)))) x) #s(literal 2 binary32)))) (*.f32 (*.f32 s s) s))) #s(literal 1/2 binary32)) (/.f32 (neg.f32 x) (*.f32 #s(literal 4 binary32) s))) (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) #s(literal 4 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) (*.f32 #s(literal 8 binary32) (*.f32 s s))))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (-.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)))) (*.f32 s s))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 (/.f32 x (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) s)) #s(literal -1/2 binary32)))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)))) #s(literal 2 binary32)) (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (*.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (*.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)))) #s(literal 1/4 binary32))) (*.f32 (*.f32 s s) s))) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (/.f32 x (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) (*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)) (*.f32 s s))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 s s)))))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (+.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (*.f32 s s) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/2 binary32) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (+.f32 (fma.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (sqrt.f32 #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) (*.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (*.f32 (*.f32 s s) s))) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (*.f32 s s) (sqrt.f32 #s(literal 2 binary32)))))))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s)))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))) (/.f32 (neg.f32 x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (+.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32))) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (-.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) x) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/16 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32)))) (*.f32 (*.f32 s s) s))) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32)))))) |
#s(approx (- (+ s s) (* x 1)) (*.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) s)) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (fma.f32 (exp.f32 (-.f32 (*.f32 (log.f32 x) #s(literal 5 binary32)) (*.f32 (log.f32 s) #s(literal 5 binary32)))) #s(literal 1/480 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (+.f32 #s(literal 1/4 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) #s(literal 1/480 binary32) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32)))) s)) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 #s(literal 4 binary32) s)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) (*.f32 #s(literal 8 binary32) s)))) (/.f32 x #s(literal 4 binary32))) s)))) |
#s(approx (* (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2))) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (neg.f32 (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 8 binary32)))) x) (+.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 #s(literal 4 binary32) s)) #s(literal 1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 #s(literal 8 binary32) s)) #s(literal -1/2 binary32)))) (fma.f32 (/.f32 (*.f32 x x) #s(literal 4 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 x x) #s(literal 8 binary32))))) s)) (/.f32 x #s(literal 4 binary32))) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (+.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) s)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)) s))) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) s)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))))) |
#s(approx (/ 1 (pow (- (exp (/ (neg x) s)) -1) 1/2)) (+.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)))) (+.f32 s s))) #s(literal -1/2 binary32) (-.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (*.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)) s)) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) x)) (*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)) s))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 x x)) (pow.f32 #s(literal 2 binary32) #s(literal 5/2 binary32)))))) s)) (*.f32 (/.f32 x (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) s)) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 x (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32))) s)) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (pow (- (exp (/ (neg x) s)) -1) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 x (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) x) #s(literal 1/6 binary32) (*.f32 (*.f32 x (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) s)) #s(literal -1/2 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 x x) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32))) s))) s)) (sqrt.f32 #s(literal 2 binary32)))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 2 binary32))) |
#s(approx (- (exp (/ (neg x) s)) -1) (+.f32 #s(literal 2 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s)))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/6 binary32))) s)) x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) x) s) #s(literal -1/48 binary32)) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s)) (*.f32 #s(literal 1/4 binary32) x)) s)))) |
#s(approx (- (+ s s) (* x 1)) (neg.f32 (*.f32 (-.f32 (/.f32 x s) #s(literal 2 binary32)) s))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) x) 1/2) (+.f32 (neg.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (fma.f32 #s(literal -1/480 binary32) (/.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (*.f32 s s) (*.f32 s s))) (*.f32 (/.f32 (*.f32 (*.f32 x x) x) (*.f32 s s)) #s(literal 1/48 binary32)))) s)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s))) |
#s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/480 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (*.f32 s s) (*.f32 s s))) (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32))) s))) |
Compiled 12 075 to 1 554 computations (87.1% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 240 | 5 | 245 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 6 | 8 |
| Total | 245 | 15 | 260 |
| Status | Accuracy | Program |
|---|---|---|
| 99.3% | (pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) | |
| 99.3% | (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32)) | |
| 99.8% | (pow.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -2 binary32)) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
| ✓ | 38.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
| 37.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x))))) | |
| 29.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x)))) | |
| ✓ | 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) |
| ✓ | 18.8% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))) |
| 33.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) x)))) | |
| ✓ | 26.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ✓ | 20.8% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
| ✓ | 24.0% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
| ✓ | 7.3% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
| ✓ | 33.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 939 to 418 computations (55.5% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))) |
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (* x x)) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 (/.f32 x s) (/.f32 x s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
(pow.f32 (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -2 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 #s(approx (- (/ (* 1/480 (* x x)) (pow s 5)) (/ 1/48 (* (* s s) s))) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/480 binary32)) #s(literal 1/48 binary32)) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(pow.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 2 binary32)) #s(literal -1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (*.f32 (*.f32 s s) s))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1/2 binary32)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
7 calls:
| 10.0ms | (/.f32 (neg.f32 x) s) |
| 6.0ms | s |
| 6.0ms | x |
| 6.0ms | (neg.f32 x) |
| 4.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (neg.f32 x) |
| 99.8% | 1 | (/.f32 (neg.f32 x) s) |
| 99.8% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 99.8% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 99.8% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | s |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 (-.f32 (+.f32 s s) (*.f32 x #s(literal 1 binary32))) (*.f32 x s)) x)))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (/.f32 (*.f32 (-.f32 (+.f32 s s) x) x) (*.f32 s x))))) |
7 calls:
| 8.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 3.0ms | s |
| 3.0ms | x |
| 3.0ms | (neg.f32 x) |
| 3.0ms | (/.f32 (neg.f32 x) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.8% | 2 | (neg.f32 x) |
| 52.7% | 2 | (/.f32 (neg.f32 x) s) |
| 52.7% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 52.7% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 52.7% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 52.8% | 2 | x |
| 42.0% | 2 | s |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (/.f32 #s(approx (- (+ s s) (* x 1)) (+.f32 s s)) (*.f32 x s)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
6 calls:
| 3.0ms | (neg.f32 x) |
| 3.0ms | x |
| 3.0ms | (/.f32 (neg.f32 x) s) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 2.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.3% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 47.3% | 2 | (/.f32 (neg.f32 x) s) |
| 47.3% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 47.3% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 46.7% | 2 | x |
| 46.7% | 2 | (neg.f32 x) |
Compiled 28 to 29 computations (-3.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
4 calls:
| 6.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 2.0ms | (/.f32 (neg.f32 x) s) |
| 2.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.3% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 47.3% | 2 | (/.f32 (neg.f32 x) s) |
| 47.3% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 47.3% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 25 to 24 computations (4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal 2 binary32) x)) x)))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (/ (neg x) s) 2) (*.f32 #s(approx (- (/ 2 x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)))) |
6 calls:
| 2.0ms | (neg.f32 x) |
| 2.0ms | x |
| 2.0ms | (/.f32 (neg.f32 x) s) |
| 1.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 1.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.0% | 2 | x |
| 46.0% | 2 | (neg.f32 x) |
| 46.1% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 46.1% | 2 | (/.f32 (neg.f32 x) s) |
| 46.1% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 46.1% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 28 to 29 computations (-3.6% saved)
Total -8.3b remaining (-38.8%)
Threshold costs -8.3b (-38.8%)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
7 calls:
| 21.0ms | x |
| 1.0ms | s |
| 1.0ms | (neg.f32 x) |
| 1.0ms | (/.f32 (neg.f32 x) s) |
| 1.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.2% | 1 | s |
| 33.2% | 1 | x |
| 33.2% | 1 | (neg.f32 x) |
| 33.2% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 33.2% | 1 | (/.f32 (neg.f32 x) s) |
| 33.2% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 33.2% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 29 to 31 computations (-6.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6199548595096146e-24 | 4.734694559304751e-23 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0021928548812866 | 1.812920331954956 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0021928548812866 | 1.812920331954956 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2870967388153076 | 6.112571201372136e+28 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | fuel |
Compiled 229 to 64 computations (72.1% saved)
Compiled 238 to 72 computations (69.7% saved)
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