Logistic function
Time bar (total: 2.5s)
| 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)
| 522.0ms | 8 254× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
ival-div!: 136.0ms (42.8% of total)ival-neg: 91.0ms (28.6% of total)ival-exp: 67.0ms (21.1% of total)ival-add!: 21.0ms (6.6% of total)adjust: 2.0ms (0.6% of total)ival-<=: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-and: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 0 | 5 | (-5.165588371765107e-23 2.074394059787896e-25) | 0 | - | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 0 | 0 | - | 0 | - | (neg.f32 x) |
| 0 | 0 | - | 0 | - | (/.f32 (neg.f32 x) s) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 (neg.f32 x) s)) | sensitivity | 5 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 5 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 5 | 0 | 251 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 26.0ms | 512× | 0 | valid |
Compiled 73 to 28 computations (61.6% saved)
ival-div!: 5.0ms (37.8% of total)ival-exp: 4.0ms (30.2% of total)ival-neg: 3.0ms (22.7% of total)ival-add!: 1.0ms (7.6% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 50 |
| 1 | 59 | 50 |
| 2 | 118 | 50 |
| 3 | 335 | 50 |
| 4 | 1619 | 50 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.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 | |
|---|---|---|---|---|
| 9.0ms | 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 | @ | -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 | 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 | 188 | 698 |
| 1 | 1084 | 691 |
| 0 | 8359 | 664 |
| 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) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.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 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(-.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)) |
(/.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)))))) |
(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 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (*.f32 (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 #s(literal 1 binary32) (/.f32 (neg.f32 x) s)) |
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) (neg.f32 s))) |
(/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 x)) (*.f32 #s(literal 2 binary32) s)) |
(/.f32 (*.f32 x #s(literal 1 binary32)) (neg.f32 s)) |
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 x) s) |
(neg.f32 (*.f32 (/.f32 x s) #s(literal 1 binary32))) |
(neg.f32 (*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 x) s))) |
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 x s))) |
(neg.f32 (/.f32 x s)) |
(*.f32 #s(literal -1 binary32) x) |
(*.f32 x #s(literal -1 binary32)) |
(neg.f32 (*.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) (pow.f32 s #s(literal 3 binary32))) #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 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.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))) (fma.f32 #s(literal -1 binary32) (/.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 (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(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 (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#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 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #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 (neg.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) |
#s(approx (exp (/ (neg x) s)) (-.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #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 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 0 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
Compiled 1 372 to 355 computations (74.1% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 64 | 7 | 71 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 64 | 8 | 72 |
| Status | Accuracy | Program |
|---|---|---|
| 69.5% | (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) | |
| ▶ | 99.6% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| ▶ | 45.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
| ▶ | 99.8% | (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
| 13.5% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| ▶ | 33.3% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ▶ | 38.7% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 231 to 188 computations (18.6% saved)
| Inputs |
|---|
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
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))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) |
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(exp.f32 #s(literal -1 binary32)) |
| Outputs |
|---|
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2)) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx 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) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ x s) #s(hole binary32 (/ x 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 (+ (* -1 (/ x s)) 2) #s(hole binary32 2)) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 2)) |
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1)) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 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 (* 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 (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#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 (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s)))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 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 (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 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 (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (pow (exp -1) (/ 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 | |
|---|---|---|---|---|
| 76.0ms | x | @ | -inf | ((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) 2 (/ 1 (+ 1 (pow (exp -1) (/ x s)))) (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1)) |
| 33.0ms | x | @ | inf | ((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) 2 (/ 1 (+ 1 (pow (exp -1) (/ x s)))) (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1)) |
| 15.0ms | s | @ | 0 | ((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) 2 (/ 1 (+ 1 (pow (exp -1) (/ x s)))) (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1)) |
| 3.0ms | x | @ | 0 | ((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) 2 (/ 1 (+ 1 (pow (exp -1) (/ x s)))) (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1)) |
| 2.0ms | s | @ | inf | ((exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) 2 (/ 1 (+ 1 (pow (exp -1) (/ x s)))) (+ 1 (pow (exp -1) (/ x s))) (pow (exp -1) (/ x s)) (exp -1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 2745 |
| 0 | 403 | 2310 |
| 1 | 2127 | 2296 |
| 0 | 9612 | 2210 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
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))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32))) |
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(exp.f32 #s(literal -1 binary32)) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2)) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx 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) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ x s) #s(hole binary32 (/ x 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 (+ (* -1 (/ x s)) 2) #s(hole binary32 2)) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 2)) |
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1)) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 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 (* 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 (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (/ 1 (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#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 (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s)))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 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 (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (* (log (+ 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 (exp (* (log (+ 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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 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 (/ 1 (+ 1 (pow (exp -1) (/ 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 (pow (exp -1) (/ 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 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (pow (exp -1) (/ x s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
| Outputs |
|---|
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (*.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))) |
(/.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))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (log1p.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (log1p.f32 (-.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)))))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(*.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) |
(*.f32 (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) |
(*.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 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (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 (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) (/.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))) |
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (neg.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) |
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))) |
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.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)) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+.f32 (/.f32 #s(literal 1/8 binary32) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))))) (/.f32 (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))))))) |
(+.f32 (/.f32 (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))))) (/.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (/.f32 x s) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)))))) |
(+.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 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))))) |
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)))) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))) |
(-.f32 (/.f32 #s(literal 4 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) (/.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) |
(-.f32 (/.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (-.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))) |
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 8 binary32))) (neg.f32 (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) |
(/.f32 (fma.f32 (neg.f32 (neg.f32 x)) #s(literal 2 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) (*.f32 (neg.f32 s) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (neg.f32 x) #s(literal 2 binary32) (*.f32 s #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) 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(literal 2 binary32) s)) |
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 8 binary32)) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
(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 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))) (/.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))))) |
(+.f32 (/.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (/.f32 #s(literal 8 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) |
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)) |
#s(literal 2 binary32) |
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (*.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))) |
(/.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))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
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(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
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(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) |
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#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
Compiled 3 857 to 815 computations (78.9% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 162 | 5 | 167 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 165 | 10 | 175 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 69.5% | (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) | |
| ✓ | 99.6% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| ▶ | 20.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
| ▶ | 99.7% | (exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) #s(literal -1 binary32))) |
| ▶ | 99.8% | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
| ✓ | 33.3% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ▶ | 7.1% | #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)))) |
| ✓ | 38.7% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 220 to 186 computations (15.5% saved)
| Inputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log1p.f32 (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(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 (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))) |
#s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) #s(literal -1 binary32))) |
(*.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) #s(literal -1 binary32)) |
(log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 x s)) |
| Outputs |
|---|
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (exp (neg (log 2))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx 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) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x 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 (+ 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 (+ (* -1 (/ x s)) 2) #s(hole binary32 2)) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 1/2)) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (pow (exp -1) (log (+ 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 (pow (exp -1) (log (+ 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 (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 1/2)) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 1)) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 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 (* 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 (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (* -1 (log (+ 1 (/ 1 (exp (/ x s)))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (log (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#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 (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3))))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))))))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3)))))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))) (* 1/2 (/ x s)))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2)))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s))))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) s))) s))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/6 (/ (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) s))) s)) (* -1/2 x)) s))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 109.0ms | x | @ | inf | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 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))) (+ (* -1 (/ x s)) 2) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (exp -1) -1 (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (log (+ 1 (pow (exp (/ x s)) -1))) (pow (exp (/ x s)) -1) (exp (/ x s))) |
| 37.0ms | x | @ | -inf | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 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))) (+ (* -1 (/ x s)) 2) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (exp -1) -1 (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (log (+ 1 (pow (exp (/ x s)) -1))) (pow (exp (/ x s)) -1) (exp (/ x s))) |
| 32.0ms | s | @ | 0 | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 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))) (+ (* -1 (/ x s)) 2) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (exp -1) -1 (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (log (+ 1 (pow (exp (/ x s)) -1))) (pow (exp (/ x s)) -1) (exp (/ x s))) |
| 5.0ms | s | @ | inf | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 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))) (+ (* -1 (/ x s)) 2) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (exp -1) -1 (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (log (+ 1 (pow (exp (/ x s)) -1))) (pow (exp (/ x s)) -1) (exp (/ x s))) |
| 4.0ms | s | @ | -inf | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 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))) (+ (* -1 (/ x s)) 2) (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (exp -1) -1 (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (log (+ 1 (pow (exp (/ x s)) -1))) (pow (exp (/ x s)) -1) (exp (/ x s))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 677 | 4279 |
| 0 | 704 | 3543 |
| 1 | 4478 | 3481 |
| 0 | 8546 | 3304 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log1p.f32 (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(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 (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))) |
#s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) #s(literal -1 binary32))) |
(*.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) #s(literal -1 binary32)) |
(log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 x s)) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (exp (neg (log 2))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx 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) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x 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 (+ 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 (+ (* -1 (/ x s)) 2) #s(hole binary32 2)) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 1/2)) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (pow (exp -1) (log (+ 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 (pow (exp -1) (log (+ 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 (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 1/2)) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 1)) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 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 (* 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 (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (* -1 (log (+ 1 (/ 1 (exp (/ x s)))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (log (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#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 (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3))))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))))))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (+ (* 1/4 (/ x s)) (+ (* 1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) (pow s 2))) (* 1/2 (/ (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3)))) (pow s 3)))))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))) (* 1/2 (/ x s)))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2)))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 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 (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/2 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))) s)) (* -1/4 x)) s))))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/4 x)) s))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (exp (* (log (+ 1 (pow (exp (/ x s)) -1))) -1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) s))) s))))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/6 (/ (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) s))) s)) (* -1/2 x)) s))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
| Outputs |
|---|
(*.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))) |
(*.f32 (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))) |
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal -1 binary32) (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 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 (log.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) (log.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (log1p.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (neg.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))) |
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))) |
(*.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(pow.f32 (*.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 x s))) #s(literal -1/2 binary32)) |
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) |
(exp.f32 (/.f32 (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 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(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(*.f32 (/.f32 x s) #s(literal 1/4 binary32)) |
(/.f32 (*.f32 #s(literal 1/4 binary32) x) s) |
(log.f32 (exp.f32 (/.f32 x 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))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))) |
#s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)) |
(*.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))) |
(*.f32 (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))) |
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal -1 binary32) (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 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 #s(literal 1 binary32))) |
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32))) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))) |
(*.f32 (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))) |
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal -1 binary32) (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 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 (log.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)))) (log.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (log1p.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(*.f32 (neg.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (neg.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))) |
(*.f32 (fabs.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (fabs.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))) |
(*.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(pow.f32 (*.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 x s))) #s(literal -1/2 binary32)) |
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(exp.f32 (/.f32 x s)) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(literal 1/2 binary32)) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/24 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (pow.f32 s #s(literal 5 binary32)))) #s(literal 1/240 binary32) (/.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (log.f32 #s(literal 1/2 binary32))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) (log.f32 #s(literal 2 binary32)))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (-.f32 (*.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (-.f32 (*.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 4 binary32))) #s(literal 1/192 binary32) (*.f32 #s(literal -1/8 binary32) (pow.f32 s #s(literal -2 binary32)))) x (/.f32 #s(literal 1/2 binary32) s)) x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) (log.f32 #s(literal 2 binary32))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) (fma.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 x (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) (fma.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/192 binary32) (*.f32 x x)) (pow.f32 s #s(literal 4 binary32)))) x) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))) |
#s(approx (pow (exp (/ x s)) -1) #s(literal 1 binary32)) |
#s(approx (pow (exp (/ x s)) -1) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 1 binary32))) |
#s(approx (pow (exp (/ 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 1 binary32))) |
#s(approx (pow (exp (/ x s)) -1) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s)) |
#s(approx (neg x) (neg.f32 x)) |
#s(approx x x) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) #s(literal 1/2 binary32)) |
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#s(approx (exp (/ x s)) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 x s))) #s(literal 1 binary32))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) #s(literal 1/2 binary32)) s))) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/6 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/4 binary32)))) #s(literal 1/2 binary32)) s))) s))) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s)) (log.f32 #s(literal 2 binary32)))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s)) (*.f32 #s(literal 1/2 binary32) x)) s)) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) |
#s(approx (pow (exp (/ x s)) -1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (pow (exp (/ x s)) -1) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #s(literal -1/2 binary32) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s) #s(literal -1/2 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/6 binary32) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/4 binary32)))) s) #s(literal -1/2 binary32) (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) #s(literal 1/2 binary32))) s))) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/8 binary32))) (*.f32 #s(literal 1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (pow (exp -1) (log (+ 1 (exp (/ (neg x) s))))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) s) #s(literal -1/2 binary32) (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32))) #s(literal 1/8 binary32) (*.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32)))) s) #s(literal -1/4 binary32)))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal -1/8 binary32) (*.f32 x x)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (neg.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) s) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (* (log (+ 1 (pow (exp (/ x s)) -1))) -1) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32)))) #s(literal -3 binary32) (fma.f32 #s(literal 3/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)))) s) #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (neg.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) #s(literal -1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (neg.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32)))) #s(literal -3 binary32) (fma.f32 #s(literal 3/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)))) s) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (neg.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) #s(literal 1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) |
#s(approx (pow (exp (/ x s)) -1) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (pow (exp (/ x s)) -1) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/2 binary32) (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32))))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
Compiled 5 187 to 970 computations (81.3% saved)
10 alts after pruning (3 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 211 | 2 | 213 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 213 | 10 | 223 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
| ▶ | 69.5% | (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| ✓ | 20.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
| ▶ | 99.7% | (exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))))) |
| ▶ | 99.8% | (exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))) |
| ✓ | 99.8% | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
| ✓ | 33.3% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ✓ | 7.1% | #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)))) |
| ✓ | 38.7% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 131 to 113 computations (13.7% saved)
| Inputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))) |
(neg.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
(log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 x s) |
x |
s |
(exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))))) |
(neg.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 x s)) |
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) |
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
#s(literal 2 binary32) |
(expm1.f32 (/.f32 (neg.f32 x) s)) |
| Outputs |
|---|
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (exp (neg (log 2))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1)) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (exp (neg (log 2))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 1)) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2)) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (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) 2)) 1) #s(hole binary32 (* -2 (/ x s)))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))) |
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s)))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (exp (neg (log (+ 1 (/ 1 (exp (/ x s))))))))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (* -1 (log (+ 1 (/ 1 (exp (/ x s)))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (log (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1)))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1))) |
#s(approx s #s(hole binary32 s)) |
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#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))))) |
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#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))) |
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#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (exp -1) (/ 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)))))))) |
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#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2)))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s))))) |
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#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3))))))))))) |
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#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
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#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
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#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
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#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
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#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s))))) |
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#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | -inf | ((exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) (neg (log (+ 1 (pow (exp -1) (/ x s))))) (log (+ 1 (pow (exp -1) (/ x s)))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) (neg (log (+ 1 (pow (exp (/ x s)) -1)))) (log (+ 1 (pow (exp (/ x s)) -1))) (pow (exp (/ x s)) -1) (exp (/ x s)) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (- (exp (/ (neg x) s)) 1)) |
| 17.0ms | x | @ | inf | ((exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) (neg (log (+ 1 (pow (exp -1) (/ x s))))) (log (+ 1 (pow (exp -1) (/ x s)))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) (neg (log (+ 1 (pow (exp (/ x s)) -1)))) (log (+ 1 (pow (exp (/ x s)) -1))) (pow (exp (/ x s)) -1) (exp (/ x s)) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (- (exp (/ (neg x) s)) 1)) |
| 15.0ms | s | @ | 0 | ((exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) (neg (log (+ 1 (pow (exp -1) (/ x s))))) (log (+ 1 (pow (exp -1) (/ x s)))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) (neg (log (+ 1 (pow (exp (/ x s)) -1)))) (log (+ 1 (pow (exp (/ x s)) -1))) (pow (exp (/ x s)) -1) (exp (/ x s)) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (- (exp (/ (neg x) s)) 1)) |
| 8.0ms | s | @ | inf | ((exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) (neg (log (+ 1 (pow (exp -1) (/ x s))))) (log (+ 1 (pow (exp -1) (/ x s)))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) (neg (log (+ 1 (pow (exp (/ x s)) -1)))) (log (+ 1 (pow (exp (/ x s)) -1))) (pow (exp (/ x s)) -1) (exp (/ x s)) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (- (exp (/ (neg x) s)) 1)) |
| 4.0ms | s | @ | -inf | ((exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) (neg (log (+ 1 (pow (exp -1) (/ x s))))) (log (+ 1 (pow (exp -1) (/ x s)))) (pow (exp -1) (/ x s)) (exp -1) -1 (/ x s) x s (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) (neg (log (+ 1 (pow (exp (/ x s)) -1)))) (log (+ 1 (pow (exp (/ x s)) -1))) (pow (exp (/ x s)) -1) (exp (/ x s)) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (/ (neg x) s) (neg x) 2 (- (exp (/ (neg x) s)) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 821 | 5004 |
| 0 | 854 | 4266 |
| 1 | 5543 | 4158 |
| 0 | 8259 | 3948 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))) |
(neg.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
(log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 x s) |
x |
s |
(exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))))) |
(neg.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 x s)) |
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) |
(expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
#s(literal 2 binary32) |
(expm1.f32 (/.f32 (neg.f32 x) s)) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (exp (neg (log 2))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 1)) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (exp (neg (log 2))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 1)) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 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) 2)) 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) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 2)) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (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) 2)) 1) #s(hole binary32 (* -2 (/ x s)))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s)))))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))) |
#s(approx (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s)))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* x (- (* x (+ (* x (- (* 1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (exp (neg (log (+ 1 (/ 1 (exp (/ x s))))))))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (* -1 (log (+ 1 (/ 1 (exp (/ x s)))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (log (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (/ (- (exp (* -1 (/ x s))) 1) (- (exp (* -2 (/ x s))) 1)))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (/ (- (exp (* -2 (/ x s))) 1) (- (exp (* -1 (/ x s))) 1)))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (- (exp (* -2 (/ x s))) 1))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (- (exp (* -1 (/ x s))) 1))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3))))))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))))) (+ (* -1/6 (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3))))))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (- (* -1/6 (/ (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2)))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -3 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) (pow s 2)))))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
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#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3))))))))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (* -2 (/ x s))) (* -1 (/ x s))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (* 4/3 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (- (+ 2 (+ (* -2 (/ x s)) (+ (* -2/3 (/ (pow x 3) (pow s 3))) (* 4/3 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ x s)) (+ (* -1/2 (/ (* x (- (* -2 x) (* -1 x))) (pow s 2))) (+ (* -1/2 (/ (* x (- (* 4/3 (pow x 2)) (+ (* -1/2 (* x (- (* -2 x) (* -1 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/12 (/ (pow x 3) (pow s 3))) (+ (* 1/6 (/ (* (pow x 2) (- (* -2 x) (* -1 x))) (pow s 3))) (* 1/3 (/ (pow x 2) (pow s 2))))))))))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (* 2 (/ (pow x 2) s))) s))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s)))) s))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (/ (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (+ (* 2/3 (/ (pow x 4) (pow s 3))) (* 2 (/ (pow x 2) s))))) s))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s)))) s))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (/ (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (+ (* 1/24 (/ (pow x 4) (pow s 3))) (* 1/2 (/ (pow x 2) s))))) s))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp -1) (/ x s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (pow (exp -1) (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (exp (neg (log (+ 1 (pow (exp (/ x s)) -1))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (neg (log (+ 1 (pow (exp (/ x s)) -1)))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (pow (exp (/ x s)) -1))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (+ (* 1/4 (pow x 3)) (* 3/2 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) s)) (* 1/2 (+ (* -1 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/4 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (pow (exp (/ x s)) -1) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (* 2 x) x) s))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2/3 (pow x 3)) (+ (* 1/12 (pow x 3)) (+ (* 1/6 (* (pow x 2) (- (* 2 x) x))) (* 1/2 (* x (- (* 4/3 (pow x 2)) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x)))))))))) s)) (* 4/3 (pow x 2))) (+ (* 1/3 (pow x 2)) (* 1/2 (* x (- (* 2 x) x))))) s)) (* 2 x)) x) s))))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s)))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s)))) |
#s(approx (- (exp (/ (neg x) s)) 1) #s(hole binary32 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s)))) |
| Outputs |
|---|
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(/.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) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (log1p.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(log1p.f32 (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 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))) |
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) |
(pow.f32 (*.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 x s))) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s))) (sinh.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32))) (sinh.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(-.f32 (cosh.f32 #s(literal 1 binary32)) (sinh.f32 #s(literal 1 binary32))) |
(+.f32 (cosh.f32 #s(literal 1 binary32)) (sinh.f32 #s(literal -1 binary32))) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 (neg.f32 x) (neg.f32 s)) |
(/.f32 x s) |
x |
s |
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -2 binary32)) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(/.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) (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(pow.f32 (exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32)) |
(pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (log1p.f32 (-.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(log1p.f32 (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 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (exp.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (/.f32 x s)))) |
(pow.f32 (*.f32 (exp.f32 #s(literal -1 binary32)) (exp.f32 #s(literal -1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) |
(pow.f32 (*.f32 (exp.f32 (/.f32 x s)) (exp.f32 (/.f32 x s))) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s))) (sinh.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s)))) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32))) (sinh.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32)))) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
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#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (neg.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) s) x)) s)) (log.f32 #s(literal 2 binary32)))) |
#s(approx (neg (log (+ 1 (pow (exp -1) (/ x s))))) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32)))) #s(literal -3 binary32) (fma.f32 #s(literal 3/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)))) s) #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (neg.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) #s(literal -1/2 binary32))) s)) (*.f32 #s(literal 1/2 binary32) x)) s)) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (neg.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (pow (exp -1) (/ x s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32)))) #s(literal -3 binary32) (fma.f32 #s(literal 3/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)))) s) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1/4 binary32) (*.f32 x x) (neg.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)))) #s(literal 1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) |
#s(approx (pow (exp -1) (/ x s)) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (pow (exp -1) (/ x s)) (fma.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) x) s))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) (neg.f32 x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (*.f32 #s(literal -1/4 binary32) (/.f32 x s)) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) x) (*.f32 x x)) #s(literal 2/3 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) x)))) s))) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (*.f32 #s(literal -1/4 binary32) x) x))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal 4/3 binary32) (*.f32 x x) (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2/3 binary32)) (fma.f32 #s(literal 1/12 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (-.f32 (*.f32 #s(literal 2 binary32) x) x) (*.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))))))) s))) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) x) x) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) s))) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) x)) s))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -4/3 binary32) (*.f32 (*.f32 x x) #s(literal 2 binary32))) s))) s))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (neg.f32 (/.f32 (fma.f32 #s(literal 2 binary32) x (neg.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -2/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 4/3 binary32))) s))) s))) s))) |
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))) |
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s))) |
#s(approx (- (exp (/ (neg x) s)) 1) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal -1/24 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32))) s))) s) #s(literal -1 binary32) x) s))) |
Compiled 5 658 to 1 242 computations (78% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 201 | 1 | 202 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 7 | 7 |
| Total | 202 | 10 | 212 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.7% | (pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| ✓ | 20.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
| ✓ | 99.7% | (exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))))) |
| ✓ | 99.8% | (exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))) |
| ✓ | 99.8% | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
| 69.6% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))) | |
| ✓ | 33.3% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ✓ | 7.1% | #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)))) |
| ✓ | 38.7% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 390 to 214 computations (45.1% 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 (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
(exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))) |
(exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))))) |
(exp.f32 (*.f32 (log1p.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)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/.f32 (expm1.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 5 binary32))) #s(literal 1/480 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 s #s(literal -3 binary32)))) (*.f32 x x) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
| Outputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s))))) |
7 calls:
| 17.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 4.0ms | (neg.f32 x) |
| 4.0ms | x |
| 4.0ms | s |
| 4.0ms | (/.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 (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
| Outputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
7 calls:
| 2.0ms | s |
| 2.0ms | x |
| 2.0ms | (neg.f32 x) |
| 2.0ms | (/.f32 (neg.f32 x) s) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 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 (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
| 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 (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
7 calls:
| 13.0ms | s |
| 2.0ms | x |
| 2.0ms | (neg.f32 x) |
| 1.0ms | (/.f32 (neg.f32 x) s) |
| 1.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 2 | (neg.f32 x) |
| 52.3% | 2 | (/.f32 (neg.f32 x) s) |
| 52.3% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 52.3% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 52.3% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 52.2% | 2 | x |
| 38.7% | 1 | s |
Compiled 29 to 31 computations (-6.9% saved)
Total -10.1b remaining (-51.6%)
Threshold costs -10.1b (-51.6%)
| 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)) |
6 calls:
| 1.0ms | x |
| 1.0ms | (neg.f32 x) |
| 1.0ms | (/.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 |
|---|---|---|
| 38.7% | 1 | x |
| 38.7% | 1 | (neg.f32 x) |
| 38.7% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 38.7% | 1 | (/.f32 (neg.f32 x) s) |
| 38.7% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 38.7% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 28 to 29 computations (-3.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2778708934783936 | 31.309946060180664 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | fuel |
Compiled 71 to 36 computations (49.3% saved)
Compiled 160 to 88 computations (45% saved)
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