
Time bar (total: 4.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 4 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 5 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 6 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 7 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 8 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 9 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 10 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 11 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 722.0ms | 8 256× | 0 | valid |
ival-div: 184.0ms (40.4% of total)ival-exp: 140.0ms (30.7% of total)ival-neg: 61.0ms (13.4% of total)ival-add: 53.0ms (11.6% of total)exact: 6.0ms (1.3% of total)const: 4.0ms (0.9% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.4% of total)ival-and: 1.0ms (0.2% of total)ival-<=: 1.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 1 | 3 | (1.0924021793338651e-16 1.5520497108318149e-19) | 1 | (-1.4542250028171111e-5 3.5930546005147335e-7) | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 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 | 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 | 3 | 2 |
/.f32 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | n/o | 1 | 0 |
| ↳ | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) | overflow | 92 | |
| ↳ | (/.f32 (neg.f32 x) s) | overflow | 67 | |
| ↳ | (exp.f32 (/.f32 (neg.f32 x) s)) | overflow | 92 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 1 |
| - | 3 | 251 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 1 | 0 |
| - | 3 | 0 | 251 |
| number | freq |
|---|---|
| 0 | 252 |
| 1 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 77.0ms | 512× | 0 | valid |
Compiled 73 to 28 computations (61.6% saved)
ival-neg: 49.0ms (76.6% of total)ival-div: 7.0ms (10.9% of total)ival-exp: 4.0ms (6.3% of total)ival-add: 3.0ms (4.7% 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 | |
|---|---|---|---|---|
| 3.0ms | 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) |
| 2.0ms | x | @ | 0 | ((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s) |
| 2.0ms | x | @ | inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s) |
| 1.0ms | 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 698 |
| 1 | 1071 | 691 |
| 0 | 8341 | 664 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (exp (/ (neg x) s)))) |
1 |
(+ 1 (exp (/ (neg x) s))) |
(exp (/ (neg x) s)) |
(/ (neg x) s) |
(neg 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 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32))) 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 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/2 binary32) (*.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32))) 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 359 computations (75.3% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 70 | 10 | 80 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 70 | 11 | 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))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) | |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 54.6% | (/.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)))) | |
| ▶ | 56.4% | (/.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)))) |
| ▶ | 41.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(literal -1 binary32) (/.f32 x s) #s(literal 2 binary32)))) |
| ▶ | 99.8% | (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
| ▶ | 21.4% | #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))) |
| 31.1% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| ▶ | 35.8% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 337 to 266 computations (21.1% 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) |
#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))) |
(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(literal 1/4 binary32) |
| Outputs |
|---|
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 1/2)) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* 1/2 (/ x s))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) #s(hole binary32 (+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ 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 (+ (* (+ (* (/ (* 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 (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 (+ (* (+ (* (/ (* 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 (/ 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 (+ (* (+ (* (/ (* 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 (+ (* -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 (+ (* (+ (* (/ (* 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 (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 (+ (* (+ (* (/ (* 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 (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 (+ (* (+ (* (/ (* 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 | |
|---|---|---|---|---|
| 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* 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) 1/4) |
| 34.0ms | 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* 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) 1/4) |
| 32.0ms | 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* 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) 1/4) |
| 8.0ms | 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* 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) 1/4) |
| 5.0ms | 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* 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) 1/4) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 469 | 2956 |
| 1 | 2724 | 2944 |
| 0 | 8452 | 2742 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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 |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
1/2 |
(/ 1 #s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ (* -1 (/ x s)) 2)))) |
1 |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ (* -1 (/ x s)) 2))) |
(+ (* -1 (/ x s)) 2) |
(/ x s) |
2 |
(/ 1 #s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2))) |
(+ (* (- (* (/ 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) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2))) |
(+ (* (+ (* (/ (* 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) |
1/4 |
#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 (+ (* (+ (* (/ (* 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 (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 (+ (* (+ (* (/ (* 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 (/ 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 (+ (* (+ (* (/ (* 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 (+ (* -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 (+ (* (+ (* (/ (* 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 (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 (+ (* (+ (* (/ (* 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 (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 (+ (* (+ (* (/ (* 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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(-.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 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (log1p.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (log1p.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 #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 (neg.f32 x))) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 (/.f32 x s)) |
(*.f32 #s(literal -1 binary32) x) |
(*.f32 x #s(literal -1 binary32)) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(/.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))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)))) |
(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 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 8 binary32))) (neg.f32 (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) |
(/.f32 (fma.f32 #s(literal 4 binary32) (neg.f32 s) (*.f32 #s(literal 2 binary32) (neg.f32 (neg.f32 x)))) (*.f32 #s(literal 2 binary32) (neg.f32 s))) |
(/.f32 (fma.f32 #s(literal 4 binary32) s (*.f32 #s(literal 2 binary32) (neg.f32 x))) (*.f32 #s(literal 2 binary32) s)) |
(/.f32 (fma.f32 (neg.f32 (neg.f32 x)) #s(literal 2 binary32) (*.f32 (neg.f32 s) #s(literal 4 binary32))) (*.f32 (neg.f32 s) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (neg.f32 x) #s(literal 2 binary32) (*.f32 s #s(literal 4 binary32))) (*.f32 #s(literal 2 binary32) s)) |
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 8 binary32)) (fma.f32 (/.f32 x s) (/.f32 x s) (-.f32 #s(literal 4 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
(-.f32 (/.f32 #s(literal 4 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s))) (/.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (-.f32 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)))) |
(-.f32 (/.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 1 binary32) (/.f32 x s))) |
(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 #s(literal 2 binary32) (/.f32 (neg.f32 x) s)) |
(+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(/.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 x) (neg.f32 s)) |
(/.f32 x s) |
#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))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (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)))))) |
(/.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)))) |
(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 (neg.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)))) (neg.f32 (-.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 (neg.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))) (neg.f32 (-.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 (neg.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)))) (neg.f32 (+.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)))))) |
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(-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (pow.f32 s #s(literal 3 binary32))) (*.f32 #s(literal -1/4 binary32) (/.f32 #s(literal 1 binary32) s))) |
(fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (pow.f32 s #s(literal 3 binary32)))) |
(fma.f32 #s(literal -1/48 binary32) (*.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) (/.f32 #s(literal 1/4 binary32) s)) |
(fma.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (pow.f32 s #s(literal 3 binary32)))) |
(+.f32 (/.f32 #s(literal 1/4 binary32) s) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (pow.f32 s #s(literal 3 binary32)))) |
(+.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal -1/48 binary32)) (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/4 binary32) s)) |
(*.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 x x))) (neg.f32 (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) |
(/.f32 (neg.f32 (*.f32 x x)) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) |
(/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) |
(exp.f32 (-.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)) (*.f32 (log.f32 s) #s(literal 3 binary32)))) |
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x))) |
(*.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x))) |
(*.f32 (exp.f32 (log.f32 x)) (exp.f32 (log.f32 x))) |
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x))) |
(*.f32 (fabs.f32 x) (fabs.f32 x)) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 x x) |
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 2 binary32)) |
(pow.f32 (fabs.f32 x) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1 binary32)) |
(pow.f32 (neg.f32 x) #s(literal 2 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(fabs.f32 (*.f32 x x)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
(*.f32 (neg.f32 (pow.f32 s #s(literal 3/2 binary32))) (neg.f32 (pow.f32 s #s(literal 3/2 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 s #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 s #s(literal 3/2 binary32)))) |
(*.f32 (pow.f32 s #s(literal 3/2 binary32)) (pow.f32 s #s(literal 3/2 binary32))) |
(*.f32 (*.f32 s s) s) |
(*.f32 s (*.f32 s s)) |
(pow.f32 (exp.f32 (log.f32 s)) #s(literal 3 binary32)) |
(pow.f32 (pow.f32 s #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 s s) #s(literal 3/2 binary32)) |
(pow.f32 s #s(literal 3 binary32)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 s) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 s) #s(literal 3 binary32)))) |
(exp.f32 (*.f32 (log.f32 s) #s(literal 3 binary32))) |
#s(literal 3 binary32) |
#s(literal -1/48 binary32) |
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) |
(/.f32 #s(literal -1/4 binary32) (neg.f32 s)) |
(/.f32 #s(literal 1/4 binary32) (neg.f32 (neg.f32 s))) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
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#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)))) |
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#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 (pow.f32 s #s(literal -2 binary32)) #s(literal 1/8 binary32) (/.f32 (*.f32 #s(literal -1/192 binary32) (*.f32 x x)) (pow.f32 s #s(literal 4 binary32)))) x) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32)))) |
#s(approx (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))) |
#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) |
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#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (*.f32 x (/.f32 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 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 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))) |
#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 (+ (* -1 (/ x s)) 2) #s(literal 2 binary32)) |
#s(approx (+ (* -1 (/ x s)) 2) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (/ x s) (/.f32 x s)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(literal 2 binary32)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#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)) |
#s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))) |
#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)) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) #s(literal 1/2 binary32)) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (fma.f32 (fma.f32 (*.f32 x (/.f32 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 (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s))) |
#s(approx (/ (* x x) (pow s 3)) (*.f32 x (/.f32 x (pow.f32 s #s(literal 3 binary32))))) |
#s(approx (* x x) (*.f32 x 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 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
#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))) |
#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 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) 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 (/ 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 #s(literal 1/2 binary32) (*.f32 s 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 (/ x s)) 2) (/.f32 (fma.f32 #s(literal 2 binary32) s (neg.f32 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))) |
#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)) |
#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 1/4 binary32) x (*.f32 #s(literal 1/2 binary32) s)) (*.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 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 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 (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 (* (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 #s(literal 1/6 binary32) (/.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))) (/.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 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 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 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) #s(literal 2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (+.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 (- (* (/ 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 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 #s(literal 1/4 binary32) (/.f32 x s))) #s(literal 1/2 binary32))) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal -1/48 binary32) #s(literal 1/4 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 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #s(literal -1/2 binary32))) (*.f32 (*.f32 x x) #s(literal 0 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/4 binary32) x)) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (* (log (+ 1 (exp (/ (neg x) s)))) -1) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) #s(literal -1/2 binary32) (*.f32 #s(literal 1/2 binary32) x)) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal 1/2 binary32))) s))) s) #s(literal -1 binary32) (log.f32 #s(literal 2 binary32)))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) #s(literal -1 binary32) x) s) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (/ 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 #s(literal -1/2 binary32) (/.f32 x s) #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 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s))) |
Compiled 9 241 to 1 492 computations (83.9% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 315 | 15 | 330 |
| Fresh | 1 | 4 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 320 | 21 | 341 |
| 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))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) | |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 54.6% | (/.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)))) | |
| ▶ | 57.2% | (/.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)))) |
| 56.3% | (/.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)))) | |
| 57.3% | (/.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)))) | |
| ▶ | 41.3% | (/.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)))) |
| 54.5% | (/.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 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) | |
| 41.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) | |
| ▶ | 32.3% | (/.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))))) |
| 32.8% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))) | |
| 41.3% | (/.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)))) | |
| 18.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) | |
| ▶ | 99.8% | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
| 21.4% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 31.1% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| 29.5% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) | |
| ▶ | 31.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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))) |
| ✓ | 35.8% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 974 to 728 computations (25.3% saved)
| Inputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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))) |
(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 (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
#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 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
#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))) |
(fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.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)) |
(/.f32 #s(literal -1 binary32) 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 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
#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)))) |
#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 (fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)) |
(fma.f32 (neg.f32 s) x (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) |
(neg.f32 s) |
(*.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(*.f32 x x) |
(*.f32 s s) |
(/.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)))) |
#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))) |
(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 (/.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 (/.f32 x s) s) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) s) |
| Outputs |
|---|
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (exp (neg (log 2))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (* -1 (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* 1/2 (/ x s)) (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log 2))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1/2 (/ x s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ (* (+ (* (/ (* x 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 (+ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s x)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x))))) |
#s(approx (* (* x x) 1/2) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#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 (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (exp (neg (log (+ 1 (exp (* -1 (/ x s))))))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (* -1 (log (+ 1 (exp (* -1 (/ x s)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (log (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (* (+ (* (/ (* x 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 (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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x)))))) |
#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 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 (+ (* (- (* (/ 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) 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 (+ (* (+ (* (/ (* 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 (/ 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 (/ -1 s) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) |
#s(approx (neg s) #s(hole binary32 (* -1 s))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#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 (/ 1 s) #s(hole binary32 (/ 1 s))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3))))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (+ (* (/ (* 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 (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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))))) |
#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 (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ (* (+ (* (/ (* 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)))) |
#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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) 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)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | x | @ | inf | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ 1/4 s) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ -1 s) -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (neg s) (* (* x x) 1/2) (* x x) (* s 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) s) 1/2) (/ (/ x s) s) (/ x s) (/ 1 s)) |
| 16.0ms | x | @ | -inf | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ 1/4 s) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ -1 s) -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (neg s) (* (* x x) 1/2) (* x x) (* s 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) s) 1/2) (/ (/ x s) s) (/ x s) (/ 1 s)) |
| 11.0ms | s | @ | 0 | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ 1/4 s) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ -1 s) -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (neg s) (* (* x x) 1/2) (* x x) (* s 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) s) 1/2) (/ (/ x s) s) (/ x s) (/ 1 s)) |
| 7.0ms | s | @ | inf | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ 1/4 s) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ -1 s) -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (neg s) (* (* x x) 1/2) (* x x) (* s 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) s) 1/2) (/ (/ x s) s) (/ x s) (/ 1 s)) |
| 5.0ms | x | @ | 0 | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x) x s (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) x) 1/2) (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/ 1/4 s) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) 1 (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/ -1 s) -1 2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (neg s) (* (* x x) 1/2) (* x x) (* s 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) s) 1/2) (/ (/ x s) s) (/ x s) (/ 1 s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 578 | 3870 |
| 1 | 3374 | 3787 |
| 0 | 8915 | 3529 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (neg (log (+ 1 (exp (/ (neg x) s)))))) |
(neg (log (+ 1 (exp (/ (neg x) s))))) |
(log (+ 1 (exp (/ (neg x) s)))) |
(exp (/ (neg x) s)) |
(/ (neg x) s) |
(neg x) |
x |
s |
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(+ (* #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) x) 1/2) |
#s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) #s(hole binary32 (/ 1/4 s))) |
(/ 1/4 s) |
1/4 |
1/2 |
(/ 1 #s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ (* #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s))) x) 2)))) |
1 |
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(+ (* #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) #s(hole binary32 (/ -1 s))) x) 2) |
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(/ -1 s) |
-1 |
2 |
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(* x x) |
(* s s) |
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(* (/ (/ x s) s) 1/2) |
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(/ x s) |
(/ 1 s) |
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#s(approx (- (* (/ (/ x s) s) 1/2) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (/ 1 s) #s(hole binary32 (/ 1 s))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3))))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (+ (* (/ (* 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 (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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))))) |
#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 (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (exp (neg (log (+ 1 (exp (/ (neg x) s)))))) #s(hole binary32 (+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) #s(hole binary32 (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2)))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))))) |
#s(approx (log (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ (* (+ (* (/ (* 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)))) |
#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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) 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)))) |
| Outputs |
|---|
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (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 (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 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))))) |
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log.f32 (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (log1p.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (log1p.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)))))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 #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)) |
(neg.f32 x) |
x |
s |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (-.f32 (pow.f32 (*.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (*.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 (+.f32 (pow.f32 (*.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 (pow.f32 (*.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.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))))) |
(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)) |
(fma.f32 x #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) #s(literal 1/2 binary32)) |
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) x)) |
(+.f32 (*.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 (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 #s(literal 1/4 binary32) s)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) #s(literal 1/2 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 1/4 binary32)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) s)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 #s(literal -1/4 binary32) (neg.f32 s)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 s) #s(literal 2 binary32))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 2 binary32) (neg.f32 s))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) s)) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal -1 binary32) (neg.f32 #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) (pow.f32 #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))) #s(literal 1 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)))) |
(pow.f32 #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))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 #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)))) #s(literal -1 binary32))) |
#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 (-.f32 (pow.f32 (*.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 (pow.f32 (*.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32)) (-.f32 #s(literal 4 binary32) (*.f32 (*.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x) #s(literal 2 binary32))))) |
(fma.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)) |
(fma.f32 x #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (*.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x)) |
(+.f32 (*.f32 #s(approx (- (* (/ x (* s s)) 1/2) (/ 1 s)) (/.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)) |
(/.f32 #s(literal -1 binary32) s) |
(/.f32 #s(literal 1 binary32) (neg.f32 s)) |
(pow.f32 (neg.f32 s) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(literal 2 binary32) |
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))) #s(literal 1 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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s))))) |
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s))))) #s(literal -1 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)))) |
#s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 s) x) (*.f32 s s) (*.f32 (*.f32 s s) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (pow.f32 s #s(literal 4 binary32))) |
(/.f32 (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s) s) |
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x)) (neg.f32 (*.f32 s s))) |
(/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s)) |
(+.f32 (/.f32 (*.f32 (neg.f32 s) x) (*.f32 s s)) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) |
(*.f32 x (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (neg.f32 s) x) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (-.f32 (*.f32 (neg.f32 s) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) |
(/.f32 (fma.f32 (pow.f32 (*.f32 s x) #s(literal 3 binary32)) #s(literal -1 binary32) (pow.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 s x) (*.f32 s x) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 s) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))))) |
(-.f32 (*.f32 (neg.f32 s) x) (*.f32 (neg.f32 (*.f32 x x)) #s(literal 1/2 binary32))) |
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#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 x (/.f32 x (pow.f32 s #s(literal 3 binary32)))) #s(literal -1/48 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 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
#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))) |
#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 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x)) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 s x) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 x x))) |
#s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
#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))) |
#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 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x)) |
#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 (+ (* (- (* (/ (/ 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) 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 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 (/ 1/4 s) (/.f32 #s(literal 1/4 binary32) s)) |
#s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.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 (/ -1 s) (/.f32 #s(literal -1 binary32) s)) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x)) |
#s(approx (neg s) (neg.f32 s)) |
#s(approx (* s s) (*.f32 s s)) |
#s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.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 (/ 1 s) (/.f32 #s(literal 1 binary32) s)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) #s(literal 1/2 binary32)) (*.f32 s s))) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (+.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 s s)) (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal -1/4 binary32) (fma.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))) #s(literal -1/6 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)))) #s(literal 1/2 binary32)) (pow.f32 s #s(literal 3 binary32)))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32)) (*.f32 s s)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) (-.f32 (-.f32 (/.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))) #s(literal -1/6 binary32)) (pow.f32 s #s(literal 3 binary32))) (log.f32 #s(literal 2 binary32))) (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))))) |
#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 #s(literal 1/6 binary32) (/.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))) (/.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 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (exp (/ (neg x) s)) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) (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(literal 1 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/24 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x) #s(literal 1/2 binary32) (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 3 binary32))))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 #s(literal -1/4 binary32) (/.f32 x s) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32))))) |
#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 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (fma.f32 (/.f32 x s) #s(literal -1 binary32) (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(literal 2 binary32))) |
#s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (+.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 (- (* (/ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)) |
#s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (+.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 (- (* (/ 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 (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) #s(literal 1/2 binary32)) s))) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) #s(literal 1/2 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32) (*.f32 #s(literal 1/8 binary32) (*.f32 x x))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) x) #s(literal 1/4 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32)))) #s(literal 1/2 binary32)) s))) s))) s) #s(literal -1 binary32) #s(literal 1/2 binary32))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) s) x)) s)) (log.f32 #s(literal 2 binary32)))) |
#s(approx (neg (log (+ 1 (exp (/ (neg x) s))))) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -3/4 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal 3/4 binary32) (pow.f32 x #s(literal 3 binary32)))) s) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/4 binary32)) #s(literal -1/2 binary32))) s)) (*.f32 #s(literal 1/2 binary32) x)) s)) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ 1 (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 x (*.f32 (/.f32 (*.f32 x x) s) #s(literal 0 binary32))) #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 (+ (* (+ (* (/ (* 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 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/48 binary32)) #s(literal 1/4 binary32)) s))) |
#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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (neg.f32 (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x))) |
#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))) |
Compiled 10 762 to 1 579 computations (85.3% saved)
28 alts after pruning (21 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 327 | 10 | 337 |
| Fresh | 3 | 11 | 14 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 330 | 28 | 358 |
| 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))) |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) | |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 54.6% | (/.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)))) | |
| 57.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) | |
| 56.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| ✓ | 57.2% | (/.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)))) |
| 56.3% | (/.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)))) | |
| ✓ | 41.3% | (/.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)))) |
| 54.5% | (/.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 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) | |
| 41.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) | |
| 32.3% | (/.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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s))))) | |
| ▶ | 32.8% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))))) |
| ✓ | 32.3% | (/.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))))) |
| 32.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)) (*.f32 s s))))) | |
| ▶ | 33.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
| 23.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))) | |
| ▶ | 30.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))))) |
| 18.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.f32 x) s))))) | |
| 33.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x))))) | |
| 41.3% | (/.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)))) | |
| ✓ | 99.8% | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
| 21.4% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| ▶ | 31.1% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| 29.5% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) | |
| ✓ | 31.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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))) |
| ✓ | 35.8% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 1 491 to 1 053 computations (29.4% 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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
#s(literal 1/4 binary32) |
#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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))) |
(/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(*.f32 x x) |
(*.f32 s s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s) |
(fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) |
(/.f32 (*.f32 x x) s) |
(neg.f32 x) |
(/.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))))) |
#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)))) |
#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 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x)) |
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 s s)) |
(/.f32 (/.f32 #s(literal 1 binary32) s) x) |
(/.f32 #s(literal 1 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 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s x)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x))))) |
#s(approx (* (* x x) 1/2) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (* -1 x))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (* x (- (* 1/2 (/ x s)) 1)))) |
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (/ -1 (* s x)))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) x))) |
#s(approx (/ (/ 1 s) x) #s(hole binary32 (/ 1 (* s x)))) |
#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 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* (- (* (/ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x)))))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (* 1/2 (/ (pow x 2) s)))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x))))) |
#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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (/ 1/2 (pow s 2)))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (- (* 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 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#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 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 (+ (* (- (* (/ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) 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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (/ (+ 1/2 (* -1 (/ s x))) (pow s 2)))) |
#s(approx (/ 1/2 (* s s)) #s(hole binary32 (/ 1/2 (pow s 2)))) |
#s(approx (/ 1 s) #s(hole binary32 (/ 1 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 (+ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (- (* 1/2 (/ (pow x 2) s)) x))) |
#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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) s))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (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 (+ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s))))))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (* -1 (/ (+ x (* -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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) s)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (* (* x x) 1/2) (* x x) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) (+ (* (/ (* x x) s) 1/2) (neg x)) (/ (* x x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/ 1/2 (* s s)) (/ (/ 1 s) x) (/ 1 s)) |
| 27.0ms | 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (* (* x x) 1/2) (* x x) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) (+ (* (/ (* x x) s) 1/2) (neg x)) (/ (* x x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/ 1/2 (* s s)) (/ (/ 1 s) x) (/ 1 s)) |
| 7.0ms | 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (* (* x x) 1/2) (* x x) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) (+ (* (/ (* x x) s) 1/2) (neg x)) (/ (* x x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/ 1/2 (* s s)) (/ (/ 1 s) x) (/ 1 s)) |
| 6.0ms | 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (* (* x x) 1/2) (* x x) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) (+ (* (/ (* x x) s) 1/2) (neg x)) (/ (* x x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/ 1/2 (* s s)) (/ (/ 1 s) x) (/ 1 s)) |
| 5.0ms | 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 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) 1/4 1/2 (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (+ (* (neg s) x) (* (* x x) 1/2)) (* (* x x) 1/2) (* x x) (* s s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) (+ (* (/ (* x x) s) 1/2) (neg x)) (/ (* x x) s) (neg x) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/ 1/2 (* s s)) (/ (/ 1 s) x) (/ 1 s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 440 | 3569 |
| 1 | 2483 | 3412 |
| 0 | 8147 | 3258 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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 |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ (* (/ x s) 1/4) 1/2))) |
(+ (* (/ x s) 1/4) 1/2) |
1/4 |
1/2 |
(/ 1 #s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (* x x) 1/2))) (* s s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (* x x) 1/2))) (* s s)))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (/ #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (* x x) 1/2))) (* s s)))) |
(/ #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (* x x) 1/2))) (* s s)) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (* x x) 1/2))) |
(* (* x x) 1/2) |
(* x x) |
(* s s) |
(/ 1 #s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s))))))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(hole binary32 #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s))))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s))) |
(/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) |
(+ (* (/ (* x x) s) 1/2) (neg x)) |
(/ (* x x) s) |
(neg x) |
(/ 1 #s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)))))) |
#s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(hole binary32 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)))) |
(* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) |
(- (/ 1/2 (* s s)) (/ (/ 1 s) x)) |
(/ 1/2 (* s s)) |
(/ (/ 1 s) x) |
(/ 1 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 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s x)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* x (+ (* -1 s) (* 1/2 x))))) |
#s(approx (* (* x x) 1/2) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (* -1 x))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (* x (- (* 1/2 (/ x s)) 1)))) |
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (/ -1 (* s x)))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (/ (- (* 1/2 (/ x (pow s 2))) (/ 1 s)) x))) |
#s(approx (/ (/ 1 s) x) #s(hole binary32 (/ 1 (* s x)))) |
#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 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* (- (* (/ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1 (/ s x)))))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (* 1/2 (/ (pow x 2) s)))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 s)) (/ 1 x))))) |
#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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (/ 1/2 (pow s 2)))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (- (* 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 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#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 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 (+ (* (- (* (/ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) |
#s(approx (* s s) #s(hole binary32 (pow s 2))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) 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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (/ (+ 1/2 (* -1 (/ s x))) (pow s 2)))) |
#s(approx (/ 1/2 (* s s)) #s(hole binary32 (/ 1/2 (pow s 2)))) |
#s(approx (/ 1 s) #s(hole binary32 (/ 1 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 (+ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* s (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) #s(hole binary32 (- (* 1/2 (/ (pow x 2) s)) x))) |
#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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (/ (- (* 1/2 (/ 1 s)) (/ 1 x)) s))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (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 (+ 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) #s(hole binary32 (* -1 (* s (+ x (* -1/2 (/ (pow x 2) s))))))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) #s(hole binary32 (* -1 (/ (+ x (* -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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) #s(hole binary32 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s)))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) #s(hole binary32 (* -1 (/ (- (/ 1 x) (* 1/2 (/ 1 s))) 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) (neg.f32 (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 (neg.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))) (neg.f32 (expm1.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32))))) |
(/.f32 (neg.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))) (neg.f32 (+.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)))))) |
(/.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))))) |
(-.f32 (/.f32 (pow.f32 (exp.f32 #s(literal -2 binary32)) (*.f32 #s(literal 2 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32)))) (expm1.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (expm1.f32 (*.f32 (*.f32 #s(literal -1 binary32) (/.f32 (/.f32 x s) #s(literal 2 binary32))) #s(literal 2 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)) |
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#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x)) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) 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 (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) x)))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 s x)) (*.f32 x x))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) (*.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) x)))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) 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 (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
#s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) x)))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) 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)) 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 s s) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.f32 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))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.f32 x s))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x)) |
#s(approx (* s s) (*.f32 s s)) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.f32 x s))) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) s)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.f32 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))) |
#s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.f32 x s))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 s x)) (*.f32 s s))) |
#s(approx (/ 1/2 (* s s)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) |
#s(approx (/ 1 s) (/.f32 #s(literal 1 binary32) s)) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (-.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/16 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 (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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (+.f32 (/.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 s #s(literal 3 binary32))) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32))))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/8 binary32)))) |
#s(approx (pow (exp -1) (/ (/ x s) 2)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/8 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 (fma.f32 (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal -1 binary32) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 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 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/16 binary32)))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) #s(literal 1/2 binary32)) (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 0 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (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 (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)) |
#s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) (-.f32 (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32)) x)) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
#s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32) (neg.f32 x)) s)) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) |
#s(approx (/ 1 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1)) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 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 x (/.f32 x s)) #s(literal 0 binary32))) #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 3 binary32)))) s)) (*.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 x (/.f32 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 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 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 #s(literal -1/8 binary32) (*.f32 x (/.f32 x s)) (*.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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 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 (/.f32 (fma.f32 #s(literal -1/48 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 0 binary32)) x))) s) (*.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 x (/.f32 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 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x))) |
#s(approx (/ (+ (* (/ (* x x) s) 1/2) (neg x)) s) (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (fma.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32))) |
#s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (neg.f32 (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))) |
#s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) s))) |
Compiled 19 240 to 2 140 computations (88.9% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 463 | 14 | 477 |
| Fresh | 5 | 11 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 6 | 7 |
| Total | 473 | 32 | 505 |
| 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))) #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) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) | |
| 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) | |
| ✓ | 99.7% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 55.0% | (/.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 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) #s(literal -1 binary32) #s(literal 2 binary32)))) | |
| 57.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) | |
| 41.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| 54.6% | (/.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)))) | |
| 56.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) x #s(literal 2 binary32)))) | |
| 56.3% | (/.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)))) | |
| ✓ | 41.3% | (/.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)))) |
| 54.5% | (/.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 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) | |
| 32.3% | (/.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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s))))) | |
| 32.0% | (/.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 (*.f32 #s(literal 1/2 binary32) (*.f32 s x)) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (*.f32 s x))) (*.f32 x x))))) | |
| 33.1% | (/.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 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) x)) (*.f32 x x))))) | |
| 32.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (*.f32 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) (*.f32 x x))))) | |
| 34.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (*.f32 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x))))) | |
| 18.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) | |
| 30.8% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.f32 x s)))))) | |
| 33.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))))) | |
| ✓ | 32.3% | (/.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))))) |
| 23.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))) | |
| ✓ | 30.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s))))) |
| 31.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 #s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 binary32))) s))))) | |
| 41.3% | (/.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)))) | |
| ✓ | 99.8% | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
| 21.4% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) | |
| 29.5% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) | |
| ✓ | 31.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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))) |
| 30.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) | |
| 7.0% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) | |
| ✓ | 35.8% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 2 648 to 1 043 computations (60.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.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)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
(/.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s 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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s 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 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x))))) |
(/.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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 #s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 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 (/.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))) #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))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.f32 x 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 (-.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 (-.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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(/.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 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) x)) (*.f32 x x))))) |
(/.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 x (/.f32 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))) (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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)) (*.f32 s 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 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) (*.f32 x x))))) |
(/.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) #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 (+ 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 (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s 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 (*.f32 #s(literal 1/2 binary32) (*.f32 s x)) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (*.f32 s x))) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (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 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (exp.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 (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))) |
| Outputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
7 calls:
| 16.0ms | (/.f32 (neg.f32 x) s) |
| 16.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 12.0ms | s |
| 12.0ms | x |
| 12.0ms | (neg.f32 x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (neg.f32 x) |
| 99.8% | 1 | (/.f32 (neg.f32 x) s) |
| 99.8% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 99.8% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 99.8% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | s |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.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)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
(/.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s 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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s 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 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x))))) |
(/.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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 #s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 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 (/.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))) #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))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.f32 x 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 (-.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 (-.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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(/.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 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) x)) (*.f32 x x))))) |
(/.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 x (/.f32 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))) (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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)) (*.f32 s 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 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) (*.f32 x x))))) |
(/.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) #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 (+ 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 (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s 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 (*.f32 #s(literal 1/2 binary32) (*.f32 s x)) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (*.f32 s x))) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (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 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
7 calls:
| 431.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 56.0ms | s |
| 23.0ms | (neg.f32 x) |
| 11.0ms | x |
| 10.0ms | (/.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 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.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)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
(/.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s 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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s 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 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x))))) |
(/.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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 #s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 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 (/.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))) #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))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.f32 x 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 (-.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 (-.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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(/.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 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) x)) (*.f32 x x))))) |
(/.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 x (/.f32 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))) (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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)) (*.f32 s 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 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) (*.f32 x x))))) |
(/.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) #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 (+ 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 (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s 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 (*.f32 #s(literal 1/2 binary32) (*.f32 s x)) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (*.f32 s x))) (*.f32 x x))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(approx (+ (* (/ (* x x) (pow s 3)) -1/48) (/ 1/4 s)) (/.f32 (fma.f32 (pow.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) #s(literal -1/48 binary32) #s(literal 1/4 binary32)) s)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (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:
| 36.0ms | (/.f32 (neg.f32 x) s) |
| 13.0ms | x |
| 11.0ms | s |
| 11.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 11.0ms | (neg.f32 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 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.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)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
(/.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s 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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s 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 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x))))) |
(/.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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 #s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 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 (/.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))) #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))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.f32 x 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 (-.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 (-.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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (fma.f32 (/.f32 (*.f32 x x) (*.f32 (*.f32 s s) s)) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32))) |
(/.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 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) x)) (*.f32 x x))))) |
(/.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 x (/.f32 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))) (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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.f32 x)) s)) (*.f32 s 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 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x)) s)) (*.f32 x x))))) |
(/.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) #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 (+ 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 (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s 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 (*.f32 #s(literal 1/2 binary32) (*.f32 s x)) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) (*.f32 s x))) (*.f32 x x))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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)))) |
7 calls:
| 58.0ms | s |
| 14.0ms | (/.f32 (neg.f32 x) s) |
| 14.0ms | x |
| 13.0ms | (neg.f32 x) |
| 10.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 2 | (neg.f32 x) |
| 64.3% | 2 | (/.f32 (neg.f32 x) s) |
| 64.3% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 64.3% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 64.3% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 64.0% | 2 | x |
| 57.3% | 1 | s |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.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)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
(/.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s 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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s 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 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x))))) |
(/.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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 #s(approx (+ (* (/ (* x x) s) 1/2) (neg x)) (*.f32 (*.f32 x (/.f32 x s)) #s(literal 1/2 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 (/.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))) #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))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (*.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal 1/2 binary32) (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) (/.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))) (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)))) |
6 calls:
| 12.0ms | x |
| 9.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 8.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 7.0ms | (neg.f32 x) |
| 6.0ms | (/.f32 (neg.f32 x) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.0% | 2 | x |
| 64.0% | 2 | (neg.f32 x) |
| 63.5% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 63.5% | 2 | (/.f32 (neg.f32 x) s) |
| 63.5% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 63.5% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 28 to 29 computations (-3.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.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)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
(/.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s 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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s 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 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x))))) |
(/.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 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) x) (*.f32 s s))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (*.f32 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x))))) |
6 calls:
| 6.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 5.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 5.0ms | (neg.f32 x) |
| 5.0ms | x |
| 4.0ms | (/.f32 (neg.f32 x) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 62.9% | 2 | (/.f32 (neg.f32 x) s) |
| 62.9% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 62.9% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 60.4% | 2 | x |
| 60.4% | 2 | (neg.f32 x) |
Compiled 28 to 29 computations (-3.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.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)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
(/.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s 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 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
4 calls:
| 4.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 3.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 3.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.8% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 61.8% | 2 | (/.f32 (neg.f32 x) s) |
| 61.8% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 61.8% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 25 to 24 computations (4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.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)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
(/.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)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s))))) |
7 calls:
| 9.0ms | (neg.f32 x) |
| 4.0ms | x |
| 4.0ms | s |
| 4.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.1% | 2 | x |
| 52.1% | 2 | (neg.f32 x) |
| 44.9% | 2 | s |
| 53.1% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 53.2% | 2 | (/.f32 (neg.f32 x) s) |
| 53.1% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 53.1% | 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 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.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)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/4 binary32) s)) x))) |
(/.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)))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
6 calls:
| 5.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 4.0ms | (neg.f32 x) |
| 4.0ms | x |
| 4.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.4% | 2 | x |
| 48.4% | 2 | (neg.f32 x) |
| 49.1% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 49.1% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 49.1% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 49.1% | 2 | (/.f32 (neg.f32 x) s) |
Compiled 28 to 29 computations (-3.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) #s(approx (/ (+ (* (neg s) x) (* (* x x) 1/2)) (* s s)) (/.f32 (neg.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) #s(approx (* (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (* x x)) (/.f32 (neg.f32 x) s))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s)))) |
6 calls:
| 59.0ms | x |
| 2.0ms | (neg.f32 x) |
| 2.0ms | (/.f32 (neg.f32 x) s) |
| 2.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 2.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.1% | 2 | x |
| 47.1% | 2 | (neg.f32 x) |
| 47.3% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 47.3% | 2 | (/.f32 (neg.f32 x) s) |
| 47.3% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 47.3% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 28 to 29 computations (-3.6% saved)
Total -9.2b remaining (-45%)
Threshold costs -9.2b (-45%)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
7 calls:
| 2.0ms | x |
| 2.0ms | (neg.f32 x) |
| 2.0ms | s |
| 2.0ms | (/.f32 (neg.f32 x) s) |
| 1.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.8% | 1 | s |
| 35.8% | 1 | x |
| 35.8% | 1 | (neg.f32 x) |
| 35.8% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 35.8% | 1 | (/.f32 (neg.f32 x) s) |
| 35.8% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 35.8% | 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 | 1.03745698928833 | 1.1808925867080688 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2898167578750118e-27 | 2.65988008318484e-27 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3056342016.0 | 377831468484788200.0 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3056342016.0 | 377831468484788200.0 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 195.7517852783203 | 604.4288940429688 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.3592627048492432 | 1.8304417133331299 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.4138944149017334 | 13.719319343566895 |
Compiled 12 to 14 computations (-16.7% saved)
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 424 |
| 1 | 182 | 420 |
| 2 | 356 | 417 |
| 3 | 833 | 412 |
| 4 | 3448 | 412 |
| 1× | node limit |
| Inputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 9227469/8388608 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 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))) |
(if (<=.f32 (neg.f32 x) #s(literal 5192297/2596148429267413814265248164610048 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 5000000000 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))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (*.f32 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x)))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5000000000 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))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200 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))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 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))) #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 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -1 binary32)) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 9227469/8388608 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 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s)) x #s(literal 2 binary32))))) |
(if (<=.f32 (neg.f32 x) #s(literal 5192297/2596148429267413814265248164610048 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 5000000000 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))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (*.f32 #s(approx (- (/ 1/2 (* s s)) (/ (/ 1 s) x)) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x)))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5000000000 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))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.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 5000000000 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))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s)))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200 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))) #s(approx (+ (* (- (* (/ x (* s s)) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.f32 s s)))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 200 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))) #s(approx (+ (* (- (* (/ (/ x s) s) 1/2) (/ 1 s)) x) 2) (/.f32 #s(approx (+ (* (neg s) x) (* (* x x) 1/2)) (*.f32 (neg.f32 s) x)) (*.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 (+ (* (pow (exp -1) (/ (/ x s) 2)) (pow (exp -1) (/ (/ x s) 2))) 1) (-.f32 #s(literal 2 binary32) (/.f32 x 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 #s(literal 2 binary32) (/.f32 x s))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 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))) #s(approx (+ (* -1 (/ x s)) 2) (/.f32 (neg.f32 x) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
| 1× | fuel |
Compiled 420 to 109 computations (74% saved)
Compiled 858 to 234 computations (72.7% saved)
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