
Time bar (total: 4.1s)
| 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)
| 579.0ms | 8 256× | 0 | valid |
ival-div: 129.0ms (32.5% of total)ival-neg: 111.0ms (28% of total)ival-exp: 95.0ms (23.9% of total)ival-add: 42.0ms (10.6% of total)const: 7.0ms (1.8% of total)exact: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.8% of total)adjust: 2.0ms (0.5% of total)ival-<=: 1.0ms (0.3% 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 | (-1.12209409053321e-5 5.246914369649858e-8) | 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 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 5 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 5 | 1 | 250 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 41.0ms | 512× | 0 | valid |
Compiled 73 to 28 computations (61.6% saved)
ival-div: 9.0ms (36.1% of total)ival-add: 6.0ms (24.1% of total)ival-exp: 5.0ms (20% of total)ival-neg: 3.0ms (12% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 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 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 21 | 9 |
| 2 | 43 | 9 |
| 3 | 118 | 9 |
| 4 | 427 | 9 |
| 5 | 4713 | 9 |
| 0 | 8515 | 9 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
Compiled 9 to 8 computations (11.1% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s) |
| 2.0ms | x | @ | 0 | ((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s) |
| 2.0ms | 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) |
| 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) |
| 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 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))))))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (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))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (*.f32 (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 1 453 to 357 computations (75.4% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 12 | 80 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 68 | 13 | 81 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) | |
| ▶ | 60.6% | (/.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)))) |
| 29.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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)))))))) | |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 56.7% | (/.f32 #s(literal 1 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)))) | |
| ▶ | 58.0% | (/.f32 #s(literal 1 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)))) |
| ▶ | 43.9% | (/.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)))) |
| 99.2% | (*.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))) | |
| ▶ | 99.8% | (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
| 11.2% | #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))) | |
| 18.4% | #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))) | |
| 30.7% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| ▶ | 34.1% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 533 to 360 computations (32.5% 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) |
(/.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)) |
(/.f32 x s) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 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 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(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)) |
(-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) |
(/.f32 x (*.f32 s s)) |
(*.f32 s s) |
(/.f32 #s(literal 1 binary32) 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)))) |
(/.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)) |
(expm1.f32 (/.f32 (neg.f32 x) s)) |
| 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 (+ 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 (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (* (/ x (* s s)) 1/2) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2)))) |
#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 (- (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 (* (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 (+ 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#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 (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (/ 1 s) #s(hole binary32 (/ 1 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) 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 (* (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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x 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)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | 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)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 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)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1)) |
| 21.0ms | 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)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1)) |
| 6.0ms | 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)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1)) |
| 6.0ms | 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)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* -1 (/ x s)) 2) (/ x s) 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (* (/ x (* s s)) 1/2) (/ x (* s s)) (* s s) (/ 1 s) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (- (exp (* (/ (neg x) s) 2)) 1) (* (/ (neg x) s) 2) (- (exp (/ (neg x) s)) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 696 | 4284 |
| 0 | 732 | 3816 |
| 1 | 4399 | 3812 |
| 0 | 8328 | 3668 |
| 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) |
(/.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)) |
(/.f32 x s) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 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 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(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)) |
(-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) |
(/.f32 x (*.f32 s s)) |
(*.f32 s s) |
(/.f32 #s(literal 1 binary32) 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)))) |
(/.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)) |
(expm1.f32 (/.f32 (neg.f32 x) s)) |
#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 (+ 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 (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (* (/ x (* s s)) 1/2) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2)))) |
#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 (- (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 (* (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 (+ 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#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 (+ (* -1 (/ x s)) 2) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (+ (* -1 (/ x s)) 2) #s(hole binary32 (/ (+ (* -1 x) (* 2 s)) s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (/ 1 s) #s(hole binary32 (/ 1 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) 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 (* (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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x 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 (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) (+.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)))) |
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(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) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (log1p.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (log1p.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(*.f32 (/.f32 x s) #s(literal -1 binary32)) |
(*.f32 #s(literal -1 binary32) (/.f32 x s)) |
(/.f32 (neg.f32 (neg.f32 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)) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) (*.f32 x x)) (fma.f32 #s(literal -2 binary32) x (neg.f32 x))) |
(/.f32 (-.f32 (*.f32 #s(literal -8 binary32) (pow.f32 x #s(literal 3 binary32))) (pow.f32 (neg.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal -2 binary32) x) #s(literal 2 binary32)) (fma.f32 x x (*.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x))))) |
(-.f32 (*.f32 #s(literal -2 binary32) x) (neg.f32 x)) |
(fma.f32 #s(literal -2 binary32) x (*.f32 #s(literal 1 binary32) x)) |
(fma.f32 x #s(literal -2 binary32) (*.f32 #s(literal 1 binary32) x)) |
(+.f32 (*.f32 #s(literal -2 binary32) x) (*.f32 #s(literal 1 binary32) x)) |
(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) |
(/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))) #s(literal -2 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) (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) (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 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 8 binary32)) (+.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (-.f32 #s(literal 4 binary32) (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)))) |
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s))) |
(fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) |
(fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)) |
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) (neg.f32 s)) |
(/.f32 x s) |
#s(literal 2 binary32) |
(/.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))))) |
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) #s(literal -1 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32))) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 (pow.f32 (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)) (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32))))) |
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 x) (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)))) |
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(fma.f32 x (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) #s(literal 2 binary32)) |
(+.f32 (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 s #s(literal -2 binary32))) (fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 s #s(literal -3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (+.f32 (pow.f32 s #s(literal -2 binary32)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))))) |
(-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x s) s)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) |
(/.f32 (neg.f32 x) (neg.f32 (*.f32 s s))) |
(/.f32 (/.f32 x s) s) |
(/.f32 x (*.f32 s s)) |
(*.f32 (neg.f32 (neg.f32 s)) (neg.f32 (neg.f32 s))) |
(*.f32 (neg.f32 (fabs.f32 s)) (neg.f32 (fabs.f32 s))) |
(*.f32 (fabs.f32 (fabs.f32 s)) (fabs.f32 (fabs.f32 s))) |
(*.f32 (exp.f32 (log.f32 s)) (exp.f32 (log.f32 s))) |
(*.f32 (neg.f32 s) (neg.f32 s)) |
(*.f32 (fabs.f32 s) (fabs.f32 s)) |
(*.f32 s s) |
(/.f32 #s(literal 1 binary32) (pow.f32 s #s(literal -2 binary32))) |
(pow.f32 (exp.f32 (log.f32 s)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 s) #s(literal 2 binary32)) |
(pow.f32 (fabs.f32 s) #s(literal 2 binary32)) |
(pow.f32 (*.f32 s s) #s(literal 1 binary32)) |
(pow.f32 s #s(literal 2 binary32)) |
(fabs.f32 (*.f32 s s)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 s) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 s) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log.f32 s) #s(literal 2 binary32))) |
(/.f32 (pow.f32 s #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 #s(literal 1 binary32) s) |
(/.f32 #s(literal -1 binary32) (neg.f32 s)) |
(pow.f32 s #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 s) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 (pow.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))) |
(pow.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s)))) #s(literal -1 binary32))) |
(/.f32 (neg.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (neg.f32 (expm1.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) |
(-.f32 (/.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
(expm1.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) (/.f32 (neg.f32 x) s))) |
(expm1.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) |
(expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) |
(/.f32 (expm1.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 2 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32) #s(literal 0 binary32)))))) |
(-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)) |
(/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) |
(expm1.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1 binary32))) (/.f32 x s))) |
(expm1.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) (+.f32 #s(literal 1 binary32) (exp.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 0 binary32)))))) |
(/.f32 (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
#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 (* (log (+ 1 (exp (/ (neg x) s)))) -1) (log.f32 #s(literal 1/2 binary32))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (fma.f32 (/.f32 (/.f32 x s) s) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.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 1/2 binary32)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (log.f32 #s(literal 2 binary32))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/192 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 4 binary32))) (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/8 binary32))) x) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))) |
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
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#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s)) |
#s(approx (neg x) (neg.f32 x)) |
#s(approx x x) |
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#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32)) |
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#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
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#s(approx (+ (* -1 (/ x s)) 2) #s(literal 2 binary32)) |
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#s(approx (/ x s) (/.f32 x s)) |
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#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) |
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#s(approx (* (/ x (* s s)) 1/2) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) |
#s(approx (/ x (* s s)) (/.f32 (/.f32 x s) s)) |
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#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) #s(literal 2 binary32)) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))) |
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#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (*.f32 #s(literal -2 binary32) (/.f32 x s))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) s)) x)) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal -4/3 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 2 binary32))) x) (/.f32 #s(literal 2 binary32) s)) x)) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (*.f32 (-.f32 (*.f32 (fma.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 4 binary32))) #s(literal 2/3 binary32) (*.f32 #s(literal -4/3 binary32) (pow.f32 s #s(literal -3 binary32)))) x (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 2 binary32))) x) (/.f32 #s(literal 2 binary32) s)) x)) |
#s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s))) |
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (neg.f32 x) s)) |
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#s(approx (- (exp (/ (neg x) s)) 1) (*.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32))) x) (/.f32 #s(literal 1 binary32) s)) x)) |
#s(approx (- (exp (/ (neg x) s)) 1) (*.f32 (-.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 x (pow.f32 s #s(literal 4 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 s #s(literal -3 binary32)))) x (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32))) x) (/.f32 #s(literal 1 binary32) s)) x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)) |
#s(approx (+ (* -1 (/ x s)) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) x) (/.f32 #s(literal 1 binary32) s)) x)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (-.f32 (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x)) |
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#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (/.f32 (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s))) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (expm1.f32 (*.f32 #s(literal -2 binary32) (/.f32 x s)))) |
#s(approx (- (exp (/ (neg x) s)) 1) (expm1.f32 (/.f32 (neg.f32 x) s))) |
#s(approx (+ (* -1 (/ x s)) 2) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x))) (*.f32 x x))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (*.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32))))) |
#s(approx s s) |
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#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) |
#s(approx (* s s) (*.f32 s s)) |
#s(approx (/ 1 s) (/.f32 #s(literal 1 binary32) s)) |
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#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal -1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (*.f32 (/.f32 x s) #s(literal 1/2 binary32)))) (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) (*.f32 s s)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) (pow.f32 s #s(literal 3 binary32))) #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32)) (*.f32 s s)))) (log.f32 #s(literal 2 binary32)))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) (*.f32 s s)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
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#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) |
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#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32)))) (/.f32 (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s))) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x x)) (pow.f32 s #s(literal 3 binary32))) #s(literal 2/3 binary32) (/.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 s s)))))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (neg.f32 x) s))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (-.f32 (-.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (/.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (*.f32 s s))) (/.f32 (neg.f32 x) s)) (fma.f32 (/.f32 (*.f32 (neg.f32 x) x) (*.f32 s s)) #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 s s))))) |
#s(approx (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1)) (-.f32 (-.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (/.f32 x s) #s(literal 2 binary32)) (fma.f32 #s(literal -2/3 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (/.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (*.f32 s s)))) (/.f32 (neg.f32 x) s)) (fma.f32 (/.f32 (*.f32 (neg.f32 x) x) (*.f32 s s)) #s(literal -1/2 binary32) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 x x)) (fma.f32 (*.f32 (neg.f32 x) x) #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 x x)))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/12 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 s s)))))))) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (/.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) (/.f32 (fma.f32 #s(literal -2 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal -4/3 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32)))) s)) |
#s(approx (- (exp (* (/ (neg x) s) 2)) 1) (/.f32 (fma.f32 #s(literal -2 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal -4/3 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 s #s(literal 3 binary32))) #s(literal 2/3 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 2 binary32))))) s)) |
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)) |
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (+.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))) (neg.f32 x)) s)) |
#s(approx (- (exp (/ (neg x) s)) 1) (/.f32 (fma.f32 #s(literal -1 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (pow.f32 s #s(literal 3 binary32))) #s(literal 1/24 binary32) (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32))))) s)) |
#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 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #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 (/ 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 (-.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) s) #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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (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 (- (* (/ x (* s s)) 1/2) (/ 1 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))) |
#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 8 019 to 1 441 computations (82% saved)
24 alts after pruning (22 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 296 | 21 | 317 |
| Fresh | 6 | 1 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 306 | 24 | 330 |
| Status | Accuracy | Program |
|---|---|---|
| 60.5% | (/.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)))))) | |
| ▶ | 99.7% | (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
| 60.2% | (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 2 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) | |
| 43.8% | (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 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)))) |
| 41.1% | (/.f32 #s(literal 1 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)))) | |
| 56.7% | (/.f32 #s(literal 1 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)))) | |
| 58.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| ▶ | 59.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))) |
| 43.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| 56.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) | |
| 43.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) | |
| 55.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) | |
| 35.8% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) | |
| 36.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) | |
| 43.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))) | |
| 22.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) | |
| 60.6% | (*.f32 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (expm1.f32 (/.f32 (neg.f32 x) s))) | |
| ▶ | 18.4% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (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))) |
| ▶ | 30.7% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| 60.7% | #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))))) | |
| ▶ | 29.6% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
| 23.2% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) | |
| ✓ | 34.1% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 1 354 to 944 computations (30.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 (/.f32 x s) #s(literal 2 binary32)) |
(/.f32 x s) |
x |
s |
#s(literal 2 binary32) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (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)) |
#s(literal 1/4 binary32) |
#s(literal 1/2 binary32) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) |
(fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/4 binary32) |
(*.f32 #s(literal -1/2 binary32) (/.f32 x s)) |
#s(literal -1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) |
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) |
(-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
(*.f32 (/.f32 x s) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (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))) |
(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)) |
(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)) |
(/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) |
(*.f32 x x) |
(pow.f32 s #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(literal -1/48 binary32) |
(/.f32 #s(literal 1/4 binary32) s) |
| Outputs |
|---|
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2)) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 1)) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx x #s(hole binary32 x)) |
#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 (+ (* (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 1/2)) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* -1/4 (/ x s))))) |
#s(approx (* -1/2 (/ x s)) #s(hole binary32 (* -1/2 (/ 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 -1)) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (- (* 1/2 (/ x s)) 1))) |
#s(approx (* (/ x s) 1/2) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (/ (* x x) (pow s 3)) #s(hole binary32 (/ (pow x 2) (pow s 3)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ 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 (+ (* (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* -1/4 (/ x s)))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/4 (/ 1 s)))))) |
#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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3))))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2))))))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3)))))))) |
#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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (* -1/4 x) (* -1/2 x)) s))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (+ (* -1/4 x) (* 1/2 s)) (* -1/2 x)) s))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* -1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) s))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3)))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3)))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)))) |
#s(approx (pow s 3) #s(hole binary32 (pow s 3))) |
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (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))) (* -1/2 (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s)))))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) 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 (/ (- (* 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | x | @ | -inf | ((/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (+ (* -1/4 (/ x s)) 1/2) -1/4 (* -1/2 (/ x s)) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ (* x x) (pow s 3)) (* x x) (pow s 3) 3 -1/48 (/ 1/4 s)) |
| 19.0ms | s | @ | -inf | ((/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (+ (* -1/4 (/ x s)) 1/2) -1/4 (* -1/2 (/ x s)) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ (* x x) (pow s 3)) (* x x) (pow s 3) 3 -1/48 (/ 1/4 s)) |
| 6.0ms | x | @ | 0 | ((/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (+ (* -1/4 (/ x s)) 1/2) -1/4 (* -1/2 (/ x s)) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ (* x x) (pow s 3)) (* x x) (pow s 3) 3 -1/48 (/ 1/4 s)) |
| 6.0ms | x | @ | inf | ((/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (+ (* -1/4 (/ x s)) 1/2) -1/4 (* -1/2 (/ x s)) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ (* x x) (pow s 3)) (* x x) (pow s 3) 3 -1/48 (/ 1/4 s)) |
| 5.0ms | s | @ | 0 | ((/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (exp -1) (/ (/ x s) 2)) (exp -1) -1 (/ (/ x s) 2) (/ x s) x s 2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (+ (* -1/4 (/ x s)) 1/2) -1/4 (* -1/2 (/ x s)) -1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ (* x x) (pow s 3)) (* x x) (pow s 3) 3 -1/48 (/ 1/4 s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 589 | 4311 |
| 0 | 630 | 3773 |
| 1 | 3530 | 3719 |
| 0 | 8167 | 3567 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 (/.f32 x s) #s(literal 2 binary32)) |
(/.f32 x s) |
x |
s |
#s(literal 2 binary32) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (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)) |
#s(literal 1/4 binary32) |
#s(literal 1/2 binary32) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) |
(fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/4 binary32) |
(*.f32 #s(literal -1/2 binary32) (/.f32 x s)) |
#s(literal -1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) |
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) |
(-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
(*.f32 (/.f32 x s) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (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))) |
(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)) |
(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)) |
(/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) |
(*.f32 x x) |
(pow.f32 s #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(literal -1/48 binary32) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2)) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 1)) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx x #s(hole binary32 x)) |
#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 (+ (* (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 1/2)) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* -1/4 (/ x s))))) |
#s(approx (* -1/2 (/ x s)) #s(hole binary32 (* -1/2 (/ 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 -1)) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (- (* 1/2 (/ x s)) 1))) |
#s(approx (* (/ x s) 1/2) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
#s(approx (/ (* x x) (pow s 3)) #s(hole binary32 (/ (pow x 2) (pow s 3)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (pow (exp (* -1/2 (/ x s))) 2))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (pow (exp (* -1/2 (/ x s))) 2)))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ 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 (+ (* (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* -1/4 (/ x s)))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/4 (/ 1 s)))))) |
#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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1/48 (/ (pow x 2) (pow s 3))))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* (pow x 2) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2))))))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3)))))))) |
#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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (* -1/4 x) (* -1/2 x)) s))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (+ (* -1/4 x) (* 1/2 s)) (* -1/2 x)) s))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* -1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) s))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3)))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3)))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ (* -1/48 (pow x 2)) (* 1/4 (pow s 2))) (pow s 3)))) |
#s(approx (pow s 3) #s(hole binary32 (pow s 3))) |
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* 1/16 (pow x 3)) (+ (* 1/4 (+ (* -1/8 (pow x 3)) (* -1/24 (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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/8 (/ (pow x 3) (pow s 3))) (+ (* -1/24 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (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))) (* -1/2 (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s)))))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* -1/48 (/ (pow x 2) (pow s 2)))) s))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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)) (* 1/4 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1 (/ (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3))) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) 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 (/ (- (* 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (* -1 (/ (- (* 1/48 (/ (pow x 2) (pow s 2))) 1/4) s)))) |
| Outputs |
|---|
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(pow.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32)) (expm1.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)))) |
(/.f32 (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))))) |
(fma.f32 (neg.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) #s(literal 1 binary32)) |
(fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(fma.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)))) #s(literal 1 binary32)) |
(fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) |
(*.f32 (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))) (neg.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32))))) |
(*.f32 (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))) (fabs.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32))))) |
(*.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.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)) #s(literal 2 binary32)))) |
(sqrt.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) |
(pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)) |
(pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (+.f32 (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 2 binary32)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) |
(fabs.f32 (neg.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 (cosh.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (sinh.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))))) |
(exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 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))) |
(+.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal -1 binary32))) |
(exp.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(/.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) |
(/.f32 (/.f32 x s) #s(literal 2 binary32)) |
(/.f32 x (*.f32 #s(literal 2 binary32) s)) |
(/.f32 (neg.f32 x) (neg.f32 s)) |
(/.f32 x s) |
x |
s |
#s(literal 2 binary32) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
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#s(approx (- (* (/ x s) 1/2) 1) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) x)) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s))) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (pow.f32 s #s(literal 3 binary32)))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s)) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (*.f32 x x))) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 #s(literal 1/2 binary32) x)))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (fma.f32 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) x))) (*.f32 x x))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) (*.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) s) x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))))) |
#s(approx (- (* (/ x s) 1/2) 1) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 x x) s))))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (fma.f32 (pow.f32 s #s(literal -3 binary32)) #s(literal 1/48 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) (*.f32 x x)))))) |
#s(approx s s) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s)) |
#s(approx (+ (* -1/4 (/ x s)) 1/2) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) s)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) |
#s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (*.f32 (*.f32 s s) x) #s(literal 1/4 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (*.f32 s s) #s(literal 1/4 binary32) (*.f32 (*.f32 x x) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32)))) |
#s(approx (pow s 3) (pow.f32 s #s(literal 3 binary32))) |
#s(approx (/ 1/4 s) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) (*.f32 s s)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) #s(literal 1/4 binary32)))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal -1/24 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s)))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) (*.f32 s s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/12 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32)))) (/.f32 (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s))) (fma.f32 (*.f32 x (/.f32 (-.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (fma.f32 #s(literal 1/3 binary32) (*.f32 x x) (*.f32 (neg.f32 x) (*.f32 #s(literal 1/4 binary32) x)))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -1 binary32) (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) (*.f32 x x)) (pow.f32 s #s(literal 3 binary32))) #s(literal 2/3 binary32) (/.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 x x)) (*.f32 s s)))))))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ 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)))) (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) (*.f32 s s)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/4 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/24 binary32) (pow.f32 x #s(literal 3 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 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 0 binary32) (*.f32 (/.f32 x s) #s(literal -1/4 binary32))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (+.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 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 (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) s) #s(literal 1/4 binary32) (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/16 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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32))) s))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/8 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) s))) 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 (/.f32 x s) #s(literal -1/4 binary32)) #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 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal -1 binary32) #s(literal 1/2 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 (-.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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (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 (- (* (/ x (* s s)) 1/2) (/ 1 s)) (neg.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) s))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) (neg.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) s))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (*.f32 s s)) #s(literal 1/48 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (neg.f32 (/.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/48 binary32) (*.f32 x x)) (*.f32 s s)) #s(literal 1/4 binary32)) s))) |
Compiled 13 269 to 1 448 computations (89.1% saved)
31 alts after pruning (27 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 358 | 17 | 375 |
| Fresh | 7 | 10 | 17 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 368 | 31 | 399 |
| Status | Accuracy | Program |
|---|---|---|
| 60.5% | (/.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)))))) | |
| ▶ | 99.7% | (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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))) |
| 99.7% | (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32))) | |
| 43.8% | (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) | |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 41.1% | (/.f32 #s(literal 1 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)))) | |
| 56.7% | (/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (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)))) | |
| 58.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| ✓ | 59.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))) |
| 59.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) s)) x #s(literal 2 binary32)))) | |
| ▶ | 56.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32)))) |
| 43.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) | |
| 43.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) | |
| 35.8% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) | |
| 36.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) | |
| 35.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))) | |
| 43.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))) | |
| 22.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) | |
| 24.0% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) | |
| 30.7% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 60.7% | #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))))) | |
| ✓ | 29.6% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
| ▶ | 23.2% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))) |
| 30.7% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) | |
| 30.7% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s))) | |
| ▶ | 7.2% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
| ▶ | 30.6% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
| 17.2% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32))))) | |
| 28.1% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32)))) | |
| ✓ | 34.1% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 2 026 to 1 391 computations (31.3% saved)
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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))) |
#s(literal 1 binary32) |
(fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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)) |
(pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) |
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) |
(cosh.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(sinh.f32 #s(literal 1 binary32)) |
(/.f32 (/.f32 x s) #s(literal 2 binary32)) |
(/.f32 x s) |
x |
s |
#s(literal 2 binary32) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) |
(exp.f32 #s(literal -1 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) |
(*.f32 (/.f32 x s) #s(literal 1/4 binary32)) |
#s(literal 1/4 binary32) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)) |
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x) |
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32)) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) |
(/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s) |
#s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 x s) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))) |
(-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))) |
(+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) |
(fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) |
#s(literal -1/4 binary32) |
(/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s)) |
(*.f32 #s(literal 1/12 binary32) (*.f32 x x)) |
#s(literal 1/12 binary32) |
(*.f32 x x) |
(*.f32 s s) |
(fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) |
(*.f32 (*.f32 #s(literal 1/4 binary32) x) x) |
(*.f32 #s(literal 1/4 binary32) x) |
(fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) |
#s(literal 1/3 binary32) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(*.f32 (/.f32 x s) #s(literal -1/2 binary32)) |
#s(literal -1/2 binary32) |
| Outputs |
|---|
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (* x (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s)))))))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* -1 (* x (+ (* -1/8 (pow (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))))) (* 1/4 (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))))))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (+ (* -1/8 (pow (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))) (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))) (+ (* -1/8 (* (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))) (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))) (* 1/4 (- (+ (* -1/16 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 3))) (+ (* 1/48 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3) (pow s 3))) (* 1/16 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 3))))) (* 1/48 (/ 1 (pow s 3))))))))) (+ (* -1/8 (pow (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))) 2)) (* 1/4 (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))))) (* 1/4 (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2)) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))) (* 1/2 (/ 1 s))))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (+ (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))) (* x (- (+ (* -1/16 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 3))) (+ (* 1/48 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3) (pow s 3))) (* 1/16 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 3))))) (* 1/48 (/ 1 (pow s 3)))))))))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 1)) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s))))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* 1/48 (/ (* x (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) (pow s 3))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2)))))))))) |
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 1)) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 1/2)) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2)) |
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x))) |
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x))) |
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 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 (+ 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 -1)) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (- (* 1/2 (/ x s)) 1))) |
#s(approx (* (/ x s) 1/2) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 1/2)) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 1/2)) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (* -1/4 (/ x s))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (* x (- (* 1/12 (/ x (pow s 2))) (* 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 (/ (* 1/12 (* x x)) (* s s)) #s(hole binary32 (* 1/12 (/ (pow x 2) (pow s 2))))) |
#s(approx (* 1/12 (* x x)) #s(hole binary32 (* 1/12 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* -1/2 (/ x s)))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* x (- (* 1/12 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))) |
#s(approx (/ (* (* 1/4 x) x) (* s s)) #s(hole binary32 (* 1/4 (/ (pow x 2) (pow s 2))))) |
#s(approx (* (* 1/4 x) x) #s(hole binary32 (* 1/4 (pow x 2)))) |
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* -1/2 (/ x s)))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* x (- (* 1/3 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))) |
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2)))) |
#s(approx (* (/ x s) -1/2) #s(hole binary32 (* -1/2 (/ x s)))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (* 1/12 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (* (pow x 2) (- (* 1/12 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* s x))))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/2 (pow x 2)) (* 1/12 (/ 1 (pow s 2)))) (/ 1/4 (* s x)))))) |
#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 (- (* 1/2 (/ 1 x)) (* 1/4 (/ 1 s)))))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* 1/12 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* (pow x 2) (- (* 1/12 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* 1/3 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* (pow x 2) (- (* 1/3 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) x)) (* 1/12 (/ 1 (pow s 2))))))) |
#s(approx (+ (* (/ x s) -1/4) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (* -1/4 x) (* -1/2 x)) s))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (+ (* -1/4 x) (* 1/2 s)) (* -1/2 x)) s))) |
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s))) |
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) s))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (/ (- (* 1/12 (pow x 2)) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) (pow s 2)))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (/ (- (+ (* 1/12 (pow x 2)) (* s (- (* -1/4 x) (* -1/2 x)))) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) (pow s 2)))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (/ (- (+ (* 1/12 (pow x 2)) (* s (- (+ (* -1/4 x) (* 1/2 s)) (* -1/2 x)))) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) (pow s 2)))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (/ (+ (* -1/4 (* s x)) (* 1/12 (pow x 2))) (pow s 2)))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (/ (+ (* 1/12 (pow x 2)) (* s (+ (* -1/4 x) (* 1/2 s)))) (pow s 2)))) |
#s(approx (+ (* (/ x s) -1/4) 1/2) #s(hole binary32 (/ (+ (* -1/4 x) (* 1/2 s)) s))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (/ (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (/ (+ (* -1/2 (* s x)) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) (pow s 2)))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (/ (+ (* -1/2 (* s x)) (* 1/3 (pow x 2))) (pow s 2)))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (/ (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s))))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))))) (pow s 2)))) (* 1/4 (/ (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s))))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) (+ (* -1/8 (pow (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))))))) (+ (* -1/8 (* (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))))) (* 1/4 (+ (* -1/16 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (+ (* -1/48 (pow x 3)) (+ (* 1/48 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3))) (* 1/16 (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) 2) (pow s 2))) (+ (* 1/4 (/ (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s)) (* 1/4 (/ (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))) (pow s 2)))))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | s | @ | 0 | ((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (/ x s) 1/4) 1/4 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ x s) -1/4) 1/2) -1/4 (/ (* 1/12 (* x x)) (* s s)) (* 1/12 (* x x)) 1/12 (* x x) (* s s) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/ (* (* 1/4 x) x) (* s s)) (* (* 1/4 x) x) (* 1/4 x) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) 1/3 (/ (* x x) (* s s)) (* (/ x s) -1/2) -1/2) |
| 19.0ms | x | @ | 0 | ((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (/ x s) 1/4) 1/4 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ x s) -1/4) 1/2) -1/4 (/ (* 1/12 (* x x)) (* s s)) (* 1/12 (* x x)) 1/12 (* x x) (* s s) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/ (* (* 1/4 x) x) (* s s)) (* (* 1/4 x) x) (* 1/4 x) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) 1/3 (/ (* x x) (* s s)) (* (/ x s) -1/2) -1/2) |
| 16.0ms | s | @ | -inf | ((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (/ x s) 1/4) 1/4 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ x s) -1/4) 1/2) -1/4 (/ (* 1/12 (* x x)) (* s s)) (* 1/12 (* x x)) 1/12 (* x x) (* s s) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/ (* (* 1/4 x) x) (* s s)) (* (* 1/4 x) x) (* 1/4 x) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) 1/3 (/ (* x x) (* s s)) (* (/ x s) -1/2) -1/2) |
| 8.0ms | x | @ | inf | ((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (/ x s) 1/4) 1/4 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ x s) -1/4) 1/2) -1/4 (/ (* 1/12 (* x x)) (* s s)) (* 1/12 (* x x)) 1/12 (* x x) (* s s) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/ (* (* 1/4 x) x) (* s s)) (* (* 1/4 x) x) (* 1/4 x) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) 1/3 (/ (* x x) (* s s)) (* (/ x s) -1/2) -1/2) |
| 8.0ms | x | @ | -inf | ((/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (- (cosh -1) (sinh 1)) (cosh -1) -1 (sinh 1) (/ (/ x s) 2) (/ x s) x s 2 (pow (exp -1) (/ (/ x s) 2)) (exp -1) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (/ x s) 1/4) 1/4 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (* (+ (/ 1/2 x) (/ 1/4 s)) x) (+ (/ 1/2 x) (/ 1/4 s)) (/ 1/2 x) 1/2 (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ (- (* (/ x s) 1/2) 1) s) (- (* (/ x s) 1/2) 1) (* (/ x s) 1/2) (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ x s) -1/4) 1/2) -1/4 (/ (* 1/12 (* x x)) (* s s)) (* 1/12 (* x x)) 1/12 (* x x) (* s s) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/ (* (* 1/4 x) x) (* s s)) (* (* 1/4 x) x) (* 1/4 x) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) 1/3 (/ (* x x) (* s s)) (* (/ x s) -1/2) -1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 908 | 9100 |
| 0 | 968 | 7571 |
| 1 | 5812 | 7213 |
| 0 | 8028 | 6913 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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))) |
#s(literal 1 binary32) |
(fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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)) |
(pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) |
(-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) |
(cosh.f32 #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(sinh.f32 #s(literal 1 binary32)) |
(/.f32 (/.f32 x s) #s(literal 2 binary32)) |
(/.f32 x s) |
x |
s |
#s(literal 2 binary32) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) |
(exp.f32 #s(literal -1 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) |
(*.f32 (/.f32 x s) #s(literal 1/4 binary32)) |
#s(literal 1/4 binary32) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
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(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x) |
(+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) |
(/.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1/4 binary32) s) |
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#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32)) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) |
(/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s) |
#s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 x s) #s(literal 1/2 binary32)) |
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(-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))))) |
(+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) |
(fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) |
#s(literal -1/4 binary32) |
(/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s)) |
(*.f32 #s(literal 1/12 binary32) (*.f32 x x)) |
#s(literal 1/12 binary32) |
(*.f32 x x) |
(*.f32 s s) |
(fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) |
(*.f32 (*.f32 #s(literal 1/4 binary32) x) x) |
(*.f32 #s(literal 1/4 binary32) x) |
(fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32))) |
#s(literal 1/3 binary32) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(*.f32 (/.f32 x s) #s(literal -1/2 binary32)) |
#s(literal -1/2 binary32) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 1/2)) |
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#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 2)) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* 1/2 (/ 1 s))))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))))))) (* 1/2 (/ 1 s))))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* x (- (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* -1/4 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 2))) (+ (* 1/8 (/ 1 (pow s 2))) (+ (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2))) (* x (- (+ (* -1/16 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 3))) (+ (* 1/48 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3) (pow s 3))) (* 1/16 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) (pow s 3))))) (* 1/48 (/ 1 (pow s 3)))))))))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 1)) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/8 (/ (* x (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s))))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) s)) (* x (+ (* 1/48 (/ (* x (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) (pow s 3))) (* 1/8 (/ (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2) (pow s 2)))))))))) |
#s(approx (/ (/ x s) 2) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 1)) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1/2 (/ x s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/48 (/ x (pow s 3))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 1/2)) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (* (/ x s) 1/4) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 1/2)) |
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/2 x))) |
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/2 (* 1/4 (/ x s))) x))) |
#s(approx (/ 1/2 x) #s(hole binary32 (/ 1/2 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 (+ 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 -1)) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (- (* 1/2 (/ x s)) 1))) |
#s(approx (* (/ x s) 1/2) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 1/2)) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 1/2)) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (* -1/4 (/ x s))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (* x (- (* 1/12 (/ x (pow s 2))) (* 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 (/ (* 1/12 (* x x)) (* s s)) #s(hole binary32 (* 1/12 (/ (pow x 2) (pow s 2))))) |
#s(approx (* 1/12 (* x x)) #s(hole binary32 (* 1/12 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* -1/2 (/ x s)))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* x (- (* 1/12 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))) |
#s(approx (/ (* (* 1/4 x) x) (* s s)) #s(hole binary32 (* 1/4 (/ (pow x 2) (pow s 2))))) |
#s(approx (* (* 1/4 x) x) #s(hole binary32 (* 1/4 (pow x 2)))) |
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* -1/2 (/ x s)))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* x (- (* 1/3 (/ x (pow s 2))) (* 1/2 (/ 1 s)))))) |
#s(approx (/ (* x x) (* s s)) #s(hole binary32 (/ (pow x 2) (pow s 2)))) |
#s(approx (* (/ x s) -1/2) #s(hole binary32 (* -1/2 (/ x s)))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (/ 1 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 1 (* (exp (* -1/2 (/ x s))) (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (exp (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (exp (* -1/2 (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* x (- (* 1/2 (/ 1 s)) (/ 1 x))))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (* 1/12 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (* (pow x 2) (- (* 1/12 (/ 1 (pow s 2))) (* 1/4 (/ 1 (* s x))))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (* (pow x 2) (- (+ (/ 1/2 (pow x 2)) (* 1/12 (/ 1 (pow s 2)))) (/ 1/4 (* s x)))))) |
#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 (- (* 1/2 (/ 1 x)) (* 1/4 (/ 1 s)))))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* 1/12 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* (pow x 2) (- (* 1/12 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* 1/3 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* (pow x 2) (- (* 1/3 (/ 1 (pow s 2))) (* 1/2 (/ 1 (* s x))))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) x)) (* 1/12 (/ 1 (pow s 2))))))) |
#s(approx (+ (* (/ x s) -1/4) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))))))) |
#s(approx s #s(hole binary32 s)) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (* -1/4 x) (* -1/2 x)) s))) |
#s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (/ (- (+ (* -1/4 x) (* 1/2 s)) (* -1/2 x)) s))) |
#s(approx (* (+ (/ 1/2 x) (/ 1/4 s)) x) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (/ 1/2 x) (/ 1/4 s)) #s(hole binary32 (/ (+ 1/4 (* 1/2 (/ s x))) s))) |
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (- (* (/ x s) 1/2) 1) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) s))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (/ (- (* 1/12 (pow x 2)) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) (pow s 2)))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (/ (- (+ (* 1/12 (pow x 2)) (* s (- (* -1/4 x) (* -1/2 x)))) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) (pow s 2)))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (/ (- (+ (* 1/12 (pow x 2)) (* s (- (+ (* -1/4 x) (* 1/2 s)) (* -1/2 x)))) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) (pow s 2)))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (/ (+ (* -1/4 (* s x)) (* 1/12 (pow x 2))) (pow s 2)))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (/ (+ (* 1/12 (pow x 2)) (* s (+ (* -1/4 x) (* 1/2 s)))) (pow s 2)))) |
#s(approx (+ (* (/ x s) -1/4) 1/2) #s(hole binary32 (/ (+ (* -1/4 x) (* 1/2 s)) s))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (/ (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (/ (+ (* -1/2 (* s x)) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) (pow s 2)))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (/ (+ (* -1/2 (* s x)) (* 1/3 (pow x 2))) (pow s 2)))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1/4 (/ (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s))))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))))) (pow s 2)))) (* 1/4 (/ (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s))))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/2 (* (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) (+ (* -1/8 (pow (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))))))) (+ (* -1/8 (* (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))))) (* 1/4 (+ (* -1/16 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (+ (* -1/48 (pow x 3)) (+ (* 1/48 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3))) (* 1/16 (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))))))))) (pow s 3)))) (+ (* -1/8 (/ (pow (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) 2) (pow s 2))) (+ (* 1/4 (/ (+ (* -1/2 x) (* 1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s)) (* 1/4 (/ (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))) (pow s 2)))))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (+ (* -1/4 (/ (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) (pow s 2))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (+ (* -1/2 (/ x s)) (+ (* -1/4 (/ (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) (pow s 2))) (+ (* -1/16 (/ (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 3))) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (+ (* 1/48 (/ (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) (pow s 3))) (+ (* 1/16 (/ (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (+ (* 1/8 (/ (pow x 2) (pow s 2))) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))))))))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s)))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* 1/48 (/ (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) (pow s 3))) (+ (* 1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) (pow s 2))) (* 1/2 (/ (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))) s))))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (* 1/8 (/ (pow x 2) (pow s 2))))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (+ (* -1/2 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/8 (/ (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))) (* -1/2 (/ 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s))))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1/2 (/ x s)) (+ (* -1/4 (/ (pow x 2) (pow s 2))) (* 1/3 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (/ (+ (* -1/2 x) (+ (* -1/4 (/ (pow x 2) s)) (* 1/3 (/ (pow x 2) s)))) s))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (/ (+ (* -1/2 x) (* 1/3 (/ (pow x 2) s))) s))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) s))))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) 2) s)) (* 1/4 (/ (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))) s))) (* 1/4 (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)))) s))))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) (+ (* -1/8 (pow (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))))) s)) (+ (* -1/8 (/ (* (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))) s)) (* 1/4 (/ (+ (* -1/16 (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* -1/48 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3))) (+ (* 1/48 (pow x 3)) (* 1/16 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))))) s)))) (+ (* -1/8 (pow (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) 2)) (* 1/4 (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))))) s)) (* 1/4 (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)))) s))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x)) s))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2)))) s)) (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x))) s))))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) #s(hole binary32 (+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (pow x 3) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* -1/48 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3))) (+ (* 1/48 (pow x 3)) (* 1/16 (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))))) s)) (+ (* -1/4 (* (pow x 2) (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (+ (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2))) (* 1/8 (pow x 2))))) s)) (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* 1/2 x))) s))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))))) (* -1/8 (/ (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)) s))) s))))) |
#s(approx (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (* (pow x 3) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 3)) s)) (* 1/8 (* (pow x 2) (pow (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1)))))) 2)))) s)) (* -1/2 (* x (log (- (* 1/2 (+ (exp -1) (/ 1 (exp -1)))) (* 1/2 (- (exp 1) (/ 1 (exp 1))))))))) s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1/8 (/ (pow x 2) s)) (* 1/2 x)) s))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/48 (/ (pow x 3) s)) (* 1/8 (pow x 2))) 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 (/ (- (* 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) 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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s))))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2)))) s)) (* 1/4 x)) (* 1/2 x)) s))))) |
#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/12 (/ (pow x 2) s)) (* 1/4 x)) s))))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) #s(hole binary32 (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (pow x 2)) (* 1/3 (pow x 2))) s)) (* 1/2 x)) s)))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) #s(hole binary32 (* -1 (/ (+ (* -1/3 (/ (pow x 2) s)) (* 1/2 x)) s)))) |
| Outputs |
|---|
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(pow.f32 (+.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (pow.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
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#s(approx (* (/ x s) 1/2) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) |
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#s(approx (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) #s(literal 1/2 binary32)) |
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#s(approx (+ (* (/ x s) -1/4) 1/2) #s(literal 1/2 binary32)) |
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#s(approx (* x x) (*.f32 x x)) |
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#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)) |
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#s(approx s s) |
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#s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (/ 1/4 s) (/.f32 #s(literal 1/4 binary32) s)) |
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#s(approx (/ (- (* (/ x s) 1/2) 1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) |
#s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) |
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#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/4 binary32) x) s (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s))) |
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#s(approx (+ (* (/ x s) -1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) s)) |
#s(approx (* s s) (*.f32 s s)) |
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#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (/.f32 (fma.f32 (*.f32 s x) #s(literal -1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s))) |
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#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x)))) s) #s(literal 1/4 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) s) #s(literal -1/8 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 1/4 binary32))) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) (/.f32 (fma.f32 (pow.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal -1/8 binary32) (*.f32 (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x)))) #s(literal 1/4 binary32))) s)) #s(literal -1/2 binary32) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (fma.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/16 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))))) s) #s(literal 1/4 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) (/.f32 (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x)))) s)) #s(literal -1/8 binary32)))) (fma.f32 (pow.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) #s(literal 2 binary32)) #s(literal -1/8 binary32) (*.f32 (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x)))) #s(literal 1/4 binary32)))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)))) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x)))) s) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x))) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (+ (* (pow (- (cosh -1) (sinh 1)) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 3 binary32))) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (fma.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/16 binary32)) (pow.f32 (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) #s(literal 2 binary32)) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))))) s) #s(literal -1 binary32) (fma.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 x x))) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (+.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) (*.f32 x x))))) s) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (*.f32 #s(literal 1/2 binary32) x))) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) s) #s(literal -1/8 binary32) (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) (*.f32 #s(literal -1/2 binary32) x)))) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (log.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32)))))) (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 3 binary32)) s) #s(literal 1/48 binary32) (*.f32 (pow.f32 (log.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 #s(literal -1 binary32))) (*.f32 #s(literal 2 binary32) (sinh.f32 #s(literal 1 binary32))))) x)) #s(literal 2 binary32)) #s(literal 1/8 binary32))) s))) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/8 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))) s))) 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 (/.f32 x s) #s(literal -1/4 binary32)) #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 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 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) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/12 binary32) x) x (neg.f32 (/.f32 (-.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)) (fma.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/4 binary32) x) (*.f32 x x)) #s(literal 2/3 binary32) (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 binary32)))) x)))) s))) (fma.f32 (*.f32 #s(literal -1/4 binary32) x) x (*.f32 (*.f32 x x) #s(literal 1/3 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 (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal -1 binary32) #s(literal 1/2 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 (-.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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (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 (- (* (/ x (* s s)) 1/2) (/ 1 s)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))) |
#s(approx (/ (- (* (/ x s) 1/2) 1) s) (neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (fma.f32 (*.f32 (/.f32 x s) #s(literal -1/4 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 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 (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2))) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal 1/12 binary32)))) s))) |
#s(approx (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)) (neg.f32 (/.f32 (fma.f32 #s(literal -1/3 binary32) (/.f32 (*.f32 x x) s) (*.f32 #s(literal 1/2 binary32) x)) s))) |
Compiled 29 128 to 2 369 computations (91.9% saved)
30 alts after pruning (24 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 7 | 522 |
| Fresh | 5 | 17 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 523 | 30 | 553 |
| Status | Accuracy | Program |
|---|---|---|
| 60.5% | (/.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)))))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(approx (pow (exp -1) (/ (/ x s) 2)) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 1 binary32))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32))) | |
| 43.8% | (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) | |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 41.1% | (/.f32 #s(literal 1 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)))) | |
| 58.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| ✓ | 59.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))) |
| ✓ | 56.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32)))) |
| 43.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) | |
| 43.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) | |
| 36.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) | |
| 43.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))) | |
| 22.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) | |
| 24.0% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) | |
| 30.7% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 60.7% | #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))))) | |
| ✓ | 29.6% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
| 13.1% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s)))) | |
| 30.7% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) | |
| 30.7% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s))) | |
| 21.9% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x))) | |
| ✓ | 30.6% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
| 30.4% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x))) | |
| 34.0% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))) | |
| 7.2% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x))) | |
| 17.2% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32))))) | |
| 28.1% | #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) #s(literal 1/2 binary32)))) | |
| ✓ | 34.1% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 3 024 to 1 132 computations (62.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) #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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (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))) |
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32))))) |
#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 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (expm1.f32 (/.f32 (neg.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))) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) (exp.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
(/.f32 #s(literal 1 binary32) (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 #s(literal 1 binary32) (/.f32 (/.f32 (expm1.f32 (*.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s) #s(literal 2 binary32))) (+.f32 (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (expm1.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) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.f32 #s(literal 1 binary32))) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(approx (pow (exp -1) (/ (/ x s) 2)) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (/.f32 x s))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (-.f32 (cosh.f32 #s(literal -1 binary32)) (sinh.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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)))))))) |
| Outputs |
|---|
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
7 calls:
| 16.0ms | (neg.f32 x) |
| 15.0ms | x |
| 14.0ms | s |
| 13.0ms | (/.f32 (neg.f32 x) s) |
| 12.0ms | (+.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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) #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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (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))) |
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (/.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) (*.f32 s s) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32))) (pow.f32 s #s(literal 3 binary32))))) |
#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 (/.f32 #s(literal 1 binary32) (expm1.f32 (/.f32 (*.f32 (neg.f32 x) #s(literal 2 binary32)) s))) (expm1.f32 (/.f32 (neg.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 |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
7 calls:
| 37.0ms | (/.f32 (neg.f32 x) s) |
| 18.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 15.0ms | s |
| 12.0ms | (neg.f32 x) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (neg.f32 x) |
| 99.7% | 1 | (/.f32 (neg.f32 x) s) |
| 99.7% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 99.7% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 99.7% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.7% | 1 | x |
| 99.7% | 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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) #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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (*.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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (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))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
7 calls:
| 43.0ms | (neg.f32 x) |
| 11.0ms | s |
| 10.0ms | x |
| 10.0ms | (/.f32 (neg.f32 x) s) |
| 9.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (neg.f32 x) |
| 99.7% | 1 | (/.f32 (neg.f32 x) s) |
| 99.7% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 99.7% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 99.7% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.7% | 1 | x |
| 99.7% | 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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (*.f32 (/.f32 x s) #s(literal 1/2 binary32))) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) #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 (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal -1/4 binary32) #s(literal 1/2 binary32)) (/.f32 (*.f32 #s(literal 1/12 binary32) (*.f32 x x)) (*.f32 s s))) (fma.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/4 binary32) x) x) (*.f32 s s)) #s(literal -1 binary32) (fma.f32 #s(literal 1/3 binary32) (/.f32 (*.f32 x x) (*.f32 s s)) (*.f32 (/.f32 x s) #s(literal -1/2 binary32)))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
7 calls:
| 12.0ms | x |
| 11.0ms | (neg.f32 x) |
| 10.0ms | s |
| 9.0ms | (/.f32 (neg.f32 x) s) |
| 7.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 2 | (neg.f32 x) |
| 65.9% | 2 | (/.f32 (neg.f32 x) s) |
| 65.9% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 65.9% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 65.9% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 65.9% | 2 | x |
| 59.5% | 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 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (+ (* (/ x s) -1/4) 1/2) (/ (* 1/12 (* x x)) (* s s))) (+ (* (/ (* (* 1/4 x) x) (* s s)) -1) (+ (* 1/3 (/ (* x x) (* s s))) (* (/ x s) -1/2)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/12 binary32)) (*.f32 (*.f32 x x) #s(literal 1/12 binary32))) (*.f32 s s)))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
6 calls:
| 6.0ms | (neg.f32 x) |
| 6.0ms | x |
| 6.0ms | (/.f32 (neg.f32 x) s) |
| 5.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 5.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 3 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 66.5% | 3 | (/.f32 (neg.f32 x) s) |
| 66.5% | 3 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 66.5% | 3 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 61.1% | 2 | x |
| 61.1% | 2 | (neg.f32 x) |
Compiled 28 to 29 computations (-3.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(approx (- (* (/ x s) 1/2) 1) #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal -1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal -1/4 binary32) x)) (*.f32 #s(literal -1/2 binary32) x)) s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 x)) s)))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 (/.f32 (fma.f32 #s(literal 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.f32 s x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 (fma.f32 (/.f32 s x) #s(literal 1/2 binary32) #s(literal 1/4 binary32)) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (-.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.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))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
7 calls:
| 5.0ms | (neg.f32 x) |
| 5.0ms | x |
| 5.0ms | s |
| 5.0ms | (/.f32 (neg.f32 x) s) |
| 4.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.6% | 2 | x |
| 50.6% | 2 | (neg.f32 x) |
| 43.9% | 1 | s |
| 51.3% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 51.3% | 2 | (/.f32 (neg.f32 x) s) |
| 51.3% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 51.3% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
(/.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)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #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)))) |
6 calls:
| 10.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | x |
| 3.0ms | (neg.f32 x) |
| 2.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 2 | x |
| 49.0% | 2 | (neg.f32 x) |
| 52.6% | 3 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 52.6% | 3 | (/.f32 (neg.f32 x) s) |
| 52.6% | 3 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 52.6% | 3 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 28 to 29 computations (-3.6% saved)
Total -8.6b remaining (-40.9%)
Threshold costs -8.6b (-40.9%)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.f32 #s(approx (+ (/ 1/2 x) (/ 1/4 s)) (/.f32 #s(literal 1/2 binary32) x)) x))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (*.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))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(approx (- (+ (* -1/4 (/ x s)) 1/2) (* -1/2 (/ x s))) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
7 calls:
| 3.0ms | x |
| 3.0ms | (neg.f32 x) |
| 3.0ms | s |
| 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 |
|---|---|---|
| 34.1% | 1 | s |
| 34.1% | 1 | x |
| 34.1% | 1 | (neg.f32 x) |
| 34.1% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 34.1% | 1 | (/.f32 (neg.f32 x) s) |
| 34.1% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 34.1% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 29 to 31 computations (-6.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2291823516590886e-31 | 1.778883124263213e-30 |
Compiled 12 to 13 computations (-8.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 59.09368896484375 | 500.6365966796875 |
| 0.0ms | 1.0000001192092896 | 1.0098538398742676 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0314247608184814 | 1.5201241970062256 |
Compiled 12 to 14 computations (-16.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0652356147766113 | 59.09368896484375 |
| 0.0ms | 1.0000001192092896 | 1.0098538398742676 |
Compiled 12 to 14 computations (-16.7% saved)
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 326 |
| 1 | 147 | 326 |
| 2 | 361 | 321 |
| 3 | 1601 | 305 |
| 4 | 7754 | 305 |
| 1× | node limit |
| Inputs |
|---|
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(if (<=.f32 (neg.f32 x) #s(literal 8507059/42535295865117307932921825928971026432 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #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)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
| Outputs |
|---|
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(if (<=.f32 (neg.f32 x) #s(literal 8507059/42535295865117307932921825928971026432 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))) |
(if (<=.f32 (neg.f32 x) #s(literal 8507059/42535295865117307932921825928971026432 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 100 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #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)))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 8430551/8388608 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32)) (if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x #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)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (/ (- (exp (* (/ (neg x) s) 2)) 1) (- (exp (/ (neg x) s)) 1))) #s(literal 1/2 binary32)) |
| 1× | fuel |
Compiled 377 to 96 computations (74.5% saved)
Compiled 772 to 208 computations (73.1% saved)
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