
Time bar (total: 6.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 4 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 5 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 6 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 7 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 8 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 9 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 10 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 11 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 886.0ms | 8 256× | 0 | valid |
const: 192.0ms (31.1% of total)ival-div: 141.0ms (22.9% of total)ival-<=: 74.0ms (12% of total)ival-add: 72.0ms (11.7% of total)ival-exp: 63.0ms (10.2% of total)ival-neg: 47.0ms (7.6% of total)ival-and: 11.0ms (1.8% of total)exact: 11.0ms (1.8% of total)ival-assert: 3.0ms (0.5% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 2 | (-5.303518965549009e-24 4.563921487086725e-26) | 1 | (-1.6494515064026464e-28 4.2542043335920016e-30) | (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 | - | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 0 | 0 | - | 0 | - | (neg.f32 x) |
| 0 | 0 | - | 0 | - | (/.f32 (neg.f32 x) s) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 (neg.f32 x) s)) | sensitivity | 2 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 2 | 254 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 2 | 1 | 253 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 35.0ms | 512× | 0 | valid |
Compiled 73 to 28 computations (61.6% saved)
ival-div: 11.0ms (51.2% of total)ival-exp: 4.0ms (18.6% of total)ival-neg: 3.0ms (14% of total)ival-add: 2.0ms (9.3% 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 |
|---|---|---|
| ▶ | 99.8% | (/.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)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (neg.f32 x) s) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 0 | 13 | 30 |
| 1 | 21 | 30 |
| 2 | 43 | 30 |
| 3 | 118 | 30 |
| 4 | 427 | 30 |
| 5 | 4713 | 30 |
| 0 | 8515 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
| 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))) |
#s(literal 1 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)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f32 x) | |
| accuracy | 0.01953125 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) | |
| accuracy | 0.0390625 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| accuracy | 0.04999719383407002 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 16.0ms | 256× | 0 | valid |
Compiled 32 to 10 computations (68.8% saved)
ival-div: 4.0ms (40.7% of total)ival-exp: 2.0ms (20.3% of total)ival-neg: 2.0ms (20.3% of total)ival-add: 1.0ms (10.2% 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)| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(+.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) |
| 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 (/ 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 (/ 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 | @ | 0 | ((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x)) |
| 2.0ms | x | @ | 0 | ((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x)) |
| 2.0ms | x | @ | inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x)) |
| 2.0ms | s | @ | inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x)) |
| 1.0ms | x | @ | -inf | ((/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (exp (/ (neg x) s)) (/ (neg x) s) (neg x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 174 | 601 |
| 1 | 477 | 569 |
| 2 | 1836 | 565 |
| 0 | 8805 | 541 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (/ 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 (/ 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 |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#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)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))) |
#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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 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))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#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 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 1)) |
#s(approx (exp (/ (neg x) s)) #s(literal 1 binary32)) |
#s(approx (exp (/ (neg x) s)) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 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)) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#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 (exp (/ (neg x) s)) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (/ (neg x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (/ (neg x) s) (/.f32 (neg.f32 x) s)) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx (neg x) (neg.f32 x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#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)) #s(hole binary32 (exp (* -1 (/ x s))))) |
#s(approx (exp (/ (neg x) s)) (exp.f32 (/.f32 (neg.f32 x) s))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))) |
#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))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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))) |
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))) |
#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 (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.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))) |
#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)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)))) |
#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))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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))) |
#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)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) 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 (exp (/ (neg x) s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 x (/.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 27 |
| 0 | 13 | 27 |
| 1 | 43 | 27 |
| 0 | 254 | 27 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(+.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) |
| Outputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (-.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) (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 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))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 (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 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(/.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 (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) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (+.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+.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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 (*.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) (neg.f32 (neg.f32 s))) |
(/.f32 (neg.f32 x) s) |
(/.f32 x (neg.f32 s)) |
(neg.f32 (/.f32 x s)) |
(neg.f32 x) |
Compiled 1 145 to 260 computations (77.3% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 10 | 67 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 57 | 11 | 68 |
| Status | Accuracy | Program |
|---|---|---|
| 64.6% | (/.f32 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) | |
| ▶ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 54.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) | |
| ▶ | 53.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| 53.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) | |
| ▶ | 42.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 99.2% | (*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) | |
| ▶ | 43.8% | (*.f32 (/.f32 #s(literal 1 binary32) (-.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)))) |
| 30.0% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| ▶ | 36.6% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 371 to 278 computations (25.1% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) | |
| cost-diff | 1 | (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) | |
| cost-diff | 2 | (*.f32 (/.f32 #s(literal 1 binary32) (-.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)))) | |
| cost-diff | 0 | (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) | |
| cost-diff | 0 | (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) | |
| cost-diff | 0 | (/.f32 x s) | |
| cost-diff | 0 | (-.f32 #s(literal 2 binary32) (/.f32 x s)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | (exp.f32 (/.f32 x s)) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) | |
| cost-diff | 1 | (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 254 |
| 0 | 60 | 251 |
| 1 | 97 | 249 |
| 2 | 223 | 244 |
| 3 | 743 | 244 |
| 4 | 3938 | 244 |
| 0 | 8899 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(exp.f32 (/.f32 x s)) |
(/.f32 x s) |
x |
s |
#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))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
#s(literal 2 binary32) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.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 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(/.f32 #s(literal 1/2 binary32) (*.f32 s s)) |
#s(literal 1/2 binary32) |
(*.f32 s s) |
s |
x |
(/.f32 #s(literal 1 binary32) s) |
#s(literal 2 binary32) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(exp.f32 (/.f32 x s)) |
(/.f32 x s) |
x |
s |
#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))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
#s(literal 2 binary32) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.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 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(/.f32 #s(literal 1/2 binary32) (*.f32 s s)) |
#s(literal 1/2 binary32) |
(*.f32 s s) |
s |
x |
(/.f32 #s(literal 1 binary32) s) |
#s(literal 2 binary32) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)))) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s))) |
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
(pow.f32 (exp.f32 x) (/.f32 #s(literal -2 binary32) s)) |
(*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(*.f32 #s(literal -2 binary32) (/.f32 x s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal 2 binary32) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0854306888280613 | (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) | |
| accuracy | 1.0607906185687779 | (*.f32 (/.f32 #s(literal 1 binary32) (-.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)))) | |
| accuracy | 6.1726826793563445 | (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) | |
| accuracy | 6.223630077188822 | (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) | |
| accuracy | 0.10384750976844201 | (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) | |
| accuracy | 0.6854958125590739 | (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) | |
| accuracy | 3.1666220613541336 | (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) | |
| accuracy | 12.656777515119273 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) | |
| accuracy | 0.0 | (/.f32 x s) | |
| accuracy | 0.010097509768442016 | (-.f32 #s(literal 2 binary32) (/.f32 x s)) | |
| accuracy | 0.0390625 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| accuracy | 13.568555948599387 | #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) | |
| accuracy | 10.680810635233911 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) | |
| accuracy | 0.01953125 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) | |
| accuracy | 0.03515625 | (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) | |
| accuracy | 0.0390625 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) | |
| accuracy | 0.06258737426964239 | (exp.f32 (/.f32 x s)) |
| 52.0ms | 174× | 0 | valid |
| 17.0ms | 82× | 0 | exit |
Compiled 213 to 33 computations (84.5% saved)
ival-mult: 19.0ms (35.3% of total)ival-div: 16.0ms (29.7% of total)ival-exp: 6.0ms (11.1% of total)ival-expm1: 4.0ms (7.4% of total)ival-add: 3.0ms (5.6% of total)ival-neg: 3.0ms (5.6% of total)ival-sub: 2.0ms (3.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(exp.f32 (/.f32 x s)) |
#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)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 (neg.f32 x) s) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (-.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 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(/.f32 #s(literal 1/2 binary32) (*.f32 s s)) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
| Outputs |
|---|
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (/ 1 (exp (/ 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 (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ 1 (+ 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 (- 2 (/ x s)) #s(hole binary32 2)) |
#s(approx (- 2 (/ x s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 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) 2)))) (- 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 (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s)))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* 1/2 (/ s x)))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* 1/2 x)) x))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* x (+ 1/2 (* 1/6 (/ x s))))) x))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* x (+ 1/2 (* x (+ (* -1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s))))))) x))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* 2 (/ x s)))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s)))))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))) |
#s(approx (* (/ 1/2 (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ x s))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 1)) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -2 (/ x s))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ 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 (- 2 (/ x s)) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ 1 (- 1 (exp (* -2 (/ x s))))))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (- 1 (exp (* -2 (/ x s)))))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (- 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (exp (* -2 (/ x s))))) |
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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 (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (/ 1/2 (* s s)) #s(hole binary32 (/ 1/2 (pow s 2)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3))))))))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (+ (* -1 (/ (+ (* -1/2 x) (* 1/3 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x))))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (- (+ (* -1 (/ (+ (* -1/6 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (+ (* -1/2 x) (* 1/3 x))))) (pow s 3))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))) (+ (* -1/2 (/ x (pow s 2))) (* 1/3 (/ x (pow s 2)))))))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ 1/2 (+ (* -1/3 (/ x s)) (* 1/2 (/ x s)))) s)) (* 1/2 (/ 1 x))))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) s)) (+ (* -1/6 (/ (pow x 2) s)) (* 1/3 (/ (pow x 2) s)))) (+ (* -1/3 x) (* 1/2 x))) s))) s)) (* 1/2 (/ 1 x))))))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s)))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s)))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s)))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s)))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | s | @ | 0 | ((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (* (/ (neg x) s) 2) (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (* (/ (neg x) s) 2))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (- 1 (exp (/ (neg x) s))) (exp (* (/ (neg x) s) 2))) |
| 6.0ms | x | @ | 0 | ((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (* (/ (neg x) s) 2) (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (* (/ (neg x) s) 2))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (- 1 (exp (/ (neg x) s))) (exp (* (/ (neg x) s) 2))) |
| 6.0ms | s | @ | inf | ((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (* (/ (neg x) s) 2) (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (* (/ (neg x) s) 2))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (- 1 (exp (/ (neg x) s))) (exp (* (/ (neg x) s) 2))) |
| 5.0ms | x | @ | inf | ((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (* (/ (neg x) s) 2) (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (* (/ (neg x) s) 2))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (- 1 (exp (/ (neg x) s))) (exp (* (/ (neg x) s) 2))) |
| 5.0ms | x | @ | -inf | ((/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (* (/ (neg x) s) 2) (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (* (/ (neg x) s) 2))) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (- 1 (exp (/ (neg x) s))) (exp (* (/ (neg x) s) 2))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 741 | 3672 |
| 1 | 2278 | 3332 |
| 0 | 8713 | 3191 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (/ 1 (exp (/ 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 (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ 1 (+ 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 (- 2 (/ x s)) #s(hole binary32 2)) |
#s(approx (- 2 (/ x s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 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) 2)))) (- 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 (* (/ (neg x) s) 2) #s(hole binary32 (* -2 (/ x s)))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* 1/2 (/ s x)))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* 1/2 x)) x))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* x (+ 1/2 (* 1/6 (/ x s))))) x))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ (+ (* 1/2 s) (* x (+ 1/2 (* x (+ (* -1/90 (/ (pow x 2) (pow s 3))) (* 1/6 (/ 1 s))))))) x))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* 2 (/ x s)))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* -2 (/ x (pow s 2))) (* 2 (/ 1 s)))))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* x (- (* 4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -2/3 (/ x (pow s 4))) (* 4/3 (/ 1 (pow s 3))))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s)))))) |
#s(approx (* (/ 1/2 (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ x s))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* x (+ (* x (- (* x (+ (* -1/24 (/ x (pow s 4))) (* 1/6 (/ 1 (pow s 3))))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 1)) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -2 (/ x s))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* 2 (/ x (pow s 2))) (* 2 (/ 1 s))))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -4/3 (/ x (pow s 3))) (* 2 (/ 1 (pow s 2))))) (* 2 (/ 1 s))))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ 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 (- 2 (/ x s)) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (- 2 (/ x s)) #s(hole binary32 (* x (- (* 2 (/ 1 x)) (/ 1 s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ (- 1 (exp (* -1 (/ x s)))) (- 1 (exp (* -2 (/ x s))))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (/ 1 (- 1 (exp (* -2 (/ x s))))))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (- 1 (exp (* -2 (/ x s)))))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (- 1 (exp (* -1 (/ x s)))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (exp (* -2 (/ x s))))) |
#s(approx (- 2 (/ x s)) #s(hole binary32 (* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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 (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (- 2 (/ x s)) #s(hole binary32 (/ (- (* 2 s) x) s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (/ 1/2 (* s s)) #s(hole binary32 (/ 1/2 (pow s 2)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1/4 (/ x s))) (* -1/2 (/ x s))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (* 1/12 (/ (pow x 2) (pow s 2))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1/2 (/ x s)) (* 1/3 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (+ (* -1/4 (/ x s)) (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/12 (/ (pow x 2) (pow s 2)))))) (+ (* -1 (/ (* x (- (* -1/4 x) (* -1/2 x))) (pow s 2))) (+ (* -1 (/ (* x (- (* 1/12 (pow x 2)) (+ (* -1 (* x (- (* -1/4 x) (* -1/2 x)))) (* 1/3 (pow x 2))))) (pow s 3))) (+ (* -1/2 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 2) (pow s 2))) (* 2/3 (/ (* (pow x 2) (- (* -1/4 x) (* -1/2 x))) (pow s 3))))))))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (+ (* -1 (/ (+ (* -1/2 x) (* 1/3 x)) (pow s 2))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x))))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* s (- (+ (* -1 (/ (+ (* -1/6 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (+ (* -1/2 x) (* 1/3 x))))) (pow s 3))) (+ (* 1/2 (/ 1 s)) (* 1/2 (/ 1 x)))) (+ (* -1/2 (/ x (pow s 2))) (* 1/3 (/ x (pow s 2)))))))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* -2 (/ (pow x 2) s)) (* -2 x)) s))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* 4/3 (/ (pow x 3) (pow s 2))) (+ (* -2 x) (* 2 (/ (pow x 2) s)))) s))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (/ (- (* -2/3 (/ (pow x 4) (pow s 3))) (+ (* -2 x) (+ (* -4/3 (/ (pow x 3) (pow s 2))) (* 2 (/ (pow x 2) s))))) s))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* 1/6 (/ (pow x 3) (pow s 2))) (+ (* -1 x) (* 1/2 (/ (pow x 2) s)))) s))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (/ (- (* -1/24 (/ (pow x 4) (pow s 3))) (+ (* -1 x) (+ (* -1/6 (/ (pow x 3) (pow s 2))) (* 1/2 (/ (pow x 2) s))))) s))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (+ (* -2 (/ x s)) (+ (* -4/3 (/ (pow x 3) (pow s 3))) (* 2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* 1/4 x) (* 1/2 x)) s))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s))))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/48 (pow x 3)) (+ (* 1/6 (pow x 3)) (+ (* 2/3 (* (pow x 2) (- (* 1/4 x) (* 1/2 x)))) (* x (- (* 1/12 (pow x 2)) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))))))) s)) (* 1/12 (pow x 2))) (+ (* 1/3 (pow x 2)) (* x (- (* 1/4 x) (* 1/2 x))))) s)) (* 1/4 x)) (* 1/2 x)) s))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ 1/2 (+ (* -1/3 (/ x s)) (* 1/2 (/ x s)))) s)) (* 1/2 (/ 1 x))))))) |
#s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) #s(hole binary32 (* -1 (* s (- (* -1 (/ (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1/3 x) (* 1/2 x))) s)) (+ (* -1/6 (/ (pow x 2) s)) (* 1/3 (/ (pow x 2) s)))) (+ (* -1/3 x) (* 1/2 x))) s))) s)) (* 1/2 (/ 1 x))))))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* 2 (/ (pow x 2) s)) (* 2 x)) s)))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))) |
#s(approx (- 1 (exp (* (/ (neg x) s) 2))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2/3 (/ (pow x 4) s)) (* 4/3 (pow x 3))) s)) (* 2 (pow x 2))) s)) (* 2 x)) s)))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ (pow x 2) s)) x) s)))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s)) x) s)))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s)))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))) |
| Outputs |
|---|
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(literal 1 binary32)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ 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 (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ 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 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(literal 2 binary32)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) (fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(literal 1 binary32)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x (pow.f32 s #s(literal 3 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
#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 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(literal 2 binary32)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 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 (/ 1 (exp (/ 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))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ 1 (/ 1 (exp (/ 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 (- 2 (/ x s)) #s(hole binary32 2)) |
#s(approx (- 2 (/ x s)) #s(literal 2 binary32)) |
#s(approx (- 2 (/ x s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- 2 (/ x s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (/ x s) (/.f32 x s)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(literal 2 binary32)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (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))) |
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#s(approx (- 1 (exp (/ (neg x) s))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 s)) x) (neg.f32 s))) |
#s(approx (- 1 (exp (/ (neg x) s))) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow x 4) s)) (* 1/6 (pow x 3))) s)) (* 1/2 (pow x 2))) s)) x) s)))) |
#s(approx (- 1 (exp (/ (neg x) s))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) s) #s(literal 1/24 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) s) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 s)) x) (neg.f32 s))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -2 (/ (pow x 2) s)) (* 2 x)) s))))) |
#s(approx (exp (* (/ (neg x) s) 2)) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -2 binary32) (-.f32 (/.f32 (*.f32 x x) s) x)) s))) |
#s(approx (exp (* (/ (neg x) s) 2)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -4/3 (/ (pow x 3) s)) (* 2 (pow x 2))) s)) (* 2 x)) s))))) |
#s(approx (exp (* (/ (neg x) s) 2)) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) x (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) x (*.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -4/3 binary32))) (neg.f32 s))) s))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 217 |
| 0 | 60 | 204 |
| 1 | 202 | 201 |
| 0 | 1271 | 201 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(exp.f32 (/.f32 x s)) |
#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)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 (neg.f32 x) s) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (-.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 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(/.f32 #s(literal 1/2 binary32) (*.f32 s s)) |
(-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
| Outputs |
|---|
(*.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32))) |
(*.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 (-.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) (neg.f32 (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(-.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(+.f32 (*.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s))) |
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s))) |
(exp.f32 (*.f32 (/.f32 x s) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 x s))) #s(literal -1 binary32))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(neg.f32 (/.f32 #s(literal -1 binary32) (exp.f32 (/.f32 x s)))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (/.f32 x s))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32)))) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32)))) (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) #s(literal -1 binary32)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal -1 binary32)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) #s(literal 1 binary32)) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))))) |
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 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))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)))) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 4 binary32))) (*.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 6 binary32))) (*.f32 (fma.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (+.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) #s(literal 1 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.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) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (pow.f32 (exp.f32 (/.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 (/.f32 x s)) #s(literal -1/2 binary32)) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) |
(fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (/.f32 (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -3 binary32)) (fma.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+.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 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))) (exp.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))))) |
(+.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(exp.f32 (/.f32 x s)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
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(+.f32 (*.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(+.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.f32 x s))) (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 (*.f32 #s(literal 1 binary32) (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 #s(literal 1 binary32) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
(+.f32 (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(+.f32 (cosh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (sinh.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) |
Compiled 10 105 to 1 648 computations (83.7% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 347 | 20 | 367 |
| Fresh | 3 | 2 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 351 | 27 | 378 |
| Status | Accuracy | Program |
|---|---|---|
| 43.8% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| 60.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| ▶ | 64.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) |
| 63.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 48.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) | |
| 53.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.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 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| ✓ | 53.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| 56.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) | |
| 53.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| ▶ | 56.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
| 42.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| ▶ | 52.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
| 53.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) | |
| ✓ | 42.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 42.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) | |
| 19.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) | |
| 32.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s))))) | |
| 34.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) | |
| 43.9% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| 43.8% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| 9.9% | (*.f32 #s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (*.f32 #s(literal 1/2 binary32) s)) x)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| ▶ | 30.0% | #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
| ✓ | 36.6% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
| 43.8% | #s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) |
Compiled 1 239 to 901 computations (27.3% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) | |
| cost-diff | 1 | (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) | |
| cost-diff | 0 | (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) | |
| cost-diff | 1 | (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) | |
| cost-diff | 0 | #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) | |
| cost-diff | 0 | (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) | |
| cost-diff | 0 | (/.f32 x s) | |
| cost-diff | 0 | (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) | |
| cost-diff | 1 | (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 571 |
| 0 | 94 | 570 |
| 1 | 159 | 570 |
| 2 | 372 | 570 |
| 3 | 1097 | 570 |
| 4 | 3921 | 554 |
| 0 | 8080 | 529 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))) |
#s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s) |
(-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) |
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) |
(/.f32 (*.f32 x x) s) |
(*.f32 x x) |
x |
s |
#s(literal -1/2 binary32) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal 1/4 binary32) |
(/.f32 x s) |
x |
s |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) |
(/.f32 x (*.f32 s s)) |
x |
(*.f32 s s) |
s |
#s(literal 1/2 binary32) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
#s(literal -1/2 binary32) |
(/.f32 x s) |
x |
s |
(neg.f32 s) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.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 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) |
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) |
#s(literal 1/2 binary32) |
(/.f32 (*.f32 #s(literal -1/6 binary32) x) s) |
(*.f32 #s(literal -1/6 binary32) x) |
#s(literal -1/6 binary32) |
x |
s |
(*.f32 s s) |
(/.f32 #s(literal 1 binary32) s) |
#s(literal 2 binary32) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x x) s) #s(literal 1 binary32)))) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))) |
(-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x x) s) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x x) s) #s(literal 1 binary32)))) |
#s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))) |
#s(approx (exp (/ x s)) (+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x x) s) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)) |
(+.f32 (/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) x x) s) #s(literal 1 binary32)) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s) |
(/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) |
(-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) |
(*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) |
(*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) |
(/.f32 (*.f32 x x) s) |
(*.f32 x x) |
x |
s |
#s(literal -1/2 binary32) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
#s(literal 1/4 binary32) |
(/.f32 x s) |
x |
s |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) |
(*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) |
(/.f32 x (*.f32 s s)) |
(/.f32 (/.f32 x s) s) |
x |
(*.f32 s s) |
s |
#s(literal 1/2 binary32) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #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 (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) |
#s(literal -1/2 binary32) |
(/.f32 x s) |
x |
s |
(neg.f32 s) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x 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 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) |
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) |
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) |
(/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) |
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(/.f32 (*.f32 #s(literal -1/6 binary32) x) s) |
(*.f32 #s(literal -1/6 binary32) (/.f32 x s)) |
(*.f32 #s(literal -1/6 binary32) x) |
#s(literal -1/6 binary32) |
x |
s |
(*.f32 s s) |
(/.f32 #s(literal 1 binary32) s) |
#s(literal 2 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1953125 | (*.f32 #s(literal -1/6 binary32) x) | |
| accuracy | 0.6636682310734308 | (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) | |
| accuracy | 2.815916562328791 | (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) | |
| accuracy | 13.392124181701176 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) | |
| accuracy | 0.046875 | (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) | |
| accuracy | 0.17861789579652726 | (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) | |
| accuracy | 0.6854958125590739 | (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) | |
| accuracy | 12.656777515119273 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) | |
| accuracy | 0.6854958125590739 | (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) | |
| accuracy | 2.703664370058948 | (/.f32 x (*.f32 s s)) | |
| accuracy | 8.74046980684206 | #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) | |
| accuracy | 12.656777515119273 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) | |
| accuracy | 0.0 | (/.f32 x s) | |
| accuracy | 0.1953807182068752 | (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) | |
| accuracy | 12.523086620175805 | #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) | |
| accuracy | 0.0390625 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) | |
| accuracy | 0.0703125 | (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s) | |
| accuracy | 2.708747130515046 | (/.f32 (*.f32 x x) s) | |
| accuracy | 4.94726034889757 | #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))) |
| 68.0ms | 174× | 0 | valid |
| 50.0ms | 82× | 0 | exit |
Compiled 342 to 49 computations (85.7% saved)
ival-div: 48.0ms (48.7% of total)ival-mult: 27.0ms (27.4% of total)ival-add: 8.0ms (8.1% of total)ival-sub: 5.0ms (5.1% of total)ival-exp: 4.0ms (4.1% of total)const: 4.0ms (4.1% of total)ival-neg: 2.0ms (2% of total)exact: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) |
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
#s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))) |
(/.f32 (*.f32 x x) s) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s) |
(/.f32 x (*.f32 s s)) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
(*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) |
(*.f32 #s(literal -1/6 binary32) x) |
| Outputs |
|---|
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1)) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (/ 1 (exp (/ 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 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ x s) #s(hole binary32 (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 1/2)) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (+ 1/2 (* -1/6 (/ x s))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* x (- (* -1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2)))) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 1)) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (+ 1 (* -1/2 (/ x s))))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (* -1/6 x) #s(hole binary32 (* -1/6 x))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* -1/6 (/ x s)))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1/6 (/ (pow x 3) (pow s 3))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* -1/2 (/ x s)))) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* -1/6 (/ (pow x 2) (pow s 3))))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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 (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))))) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s x) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s (+ s x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (/ (+ (* -1/6 x) (* 1/2 s)) s))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (/ (+ s (* -1/2 x)) s))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #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 (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) x) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ x (* 1/2 (/ (pow x 2) s))) s)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | s | @ | -inf | ((- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (exp (/ x s)) (/ (* x x) s) (/ (- (* (/ (* x x) s) -1/2) x) s) (/ x (* s s)) (+ (* -1/2 (/ x s)) 1) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x)) |
| 10.0ms | s | @ | 0 | ((- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (exp (/ x s)) (/ (* x x) s) (/ (- (* (/ (* x x) s) -1/2) x) s) (/ x (* s s)) (+ (* -1/2 (/ x s)) 1) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x)) |
| 9.0ms | x | @ | -inf | ((- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (exp (/ x s)) (/ (* x x) s) (/ (- (* (/ (* x x) s) -1/2) x) s) (/ x (* s s)) (+ (* -1/2 (/ x s)) 1) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x)) |
| 7.0ms | x | @ | 0 | ((- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (exp (/ x s)) (/ (* x x) s) (/ (- (* (/ (* x x) s) -1/2) x) s) (/ x (* s s)) (+ (* -1/2 (/ x s)) 1) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x)) |
| 6.0ms | x | @ | inf | ((- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ 1/2 (/ (* -1/6 x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (exp (/ x s)) (/ (* x x) s) (/ (- (* (/ (* x x) s) -1/2) x) s) (/ x (* s s)) (+ (* -1/2 (/ x s)) 1) (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (* -1/6 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 568 | 3668 |
| 1 | 1604 | 3355 |
| 2 | 6680 | 3337 |
| 0 | 8864 | 3139 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1)) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (/ 1 (exp (/ 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 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ x s) #s(hole binary32 (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 1/2)) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (+ 1/2 (* -1/6 (/ x s))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* x (- (* -1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2)))) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 1)) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (+ 1 (* -1/2 (/ x s))))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (* -1/6 x) #s(hole binary32 (* -1/6 x))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* -1/6 (/ x s)))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1/6 (/ (pow x 3) (pow s 3))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* -1/2 (/ x s)))) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* x (- (/ 1 x) (* 1/2 (/ 1 s)))))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* -1/6 (/ (pow x 2) (pow s 3))))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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 (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))))) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s x) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s (+ s x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (/ (+ (* -1/6 x) (* 1/2 s)) s))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (/ (+ s (* -1/2 x)) s))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #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 (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) (pow s 2)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) x) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ x (* 1/2 (/ (pow x 2) s))) s)))) |
| Outputs |
|---|
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1)) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(literal 1 binary32)) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 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)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (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 (/ 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 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(literal 1 binary32)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(literal 1/2 binary32)) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (/ x s) (/.f32 x s)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))) |
#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 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 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)))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 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))) (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 (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 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(literal 2 binary32)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (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 (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 #s(literal -1 binary32) s)) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 1/2)) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(literal 1/2 binary32)) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (+ 1/2 (* -1/6 (/ x s))))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(literal 2 binary32)) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (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 (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(literal 1 binary32)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s))) |
#s(approx (/ (* x x) s) (*.f32 (/.f32 x s) x)) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ x s)))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) (/.f32 (neg.f32 x) s)) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* x (- (* -1/2 (/ x (pow s 2))) (/ 1 s))))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) (*.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x)) |
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (pow s 2)))) |
#s(approx (/ x (* s s)) (/.f32 (/.f32 x s) s)) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 1)) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(literal 1 binary32)) |
#s(approx (+ (* -1/2 (/ x s)) 1) #s(hole binary32 (+ 1 (* -1/2 (/ x s))))) |
#s(approx (+ (* -1/2 (/ x s)) 1) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) #s(hole binary32 (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) (/.f32 x s))) |
#s(approx (* -1/6 x) #s(hole binary32 (* -1/6 x))) |
#s(approx (* -1/6 x) (*.f32 #s(literal -1/6 binary32) x)) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) s) (*.f32 x x))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) s)) (*.f32 x x))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) (exp.f32 (/.f32 (neg.f32 x) s))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) x) 2) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) (*.f32 x x))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x)) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x)) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* -1/6 (/ x s)))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))))) |
#s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal 1/6 binary32) s)) x)) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* -1/6 (/ (pow x 3) (pow s 3))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) s) x)) x) (/.f32 #s(literal 1/6 binary32) (pow.f32 s #s(literal 3 binary32)))) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
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#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)) (fma.f32 #s(literal 0 binary32) x (*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) #s(literal -1/4 binary32)))) s) #s(literal 0 binary32)) (neg.f32 s))) s))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) #s(literal -1 binary32) x) s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) #s(literal -1 binary32) 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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
#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 (+ 1 (/ 1 (exp (/ x s))))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) 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))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) s))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ (* (- (* (/ (+ 1/2 (/ (* -1/6 x) s)) (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ x s)) (/.f32 (fma.f32 #s(literal 1 binary32) (+.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) x) s) s)) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ x (* 1/2 (/ (pow x 2) s))) s)))) |
#s(approx (/ (- (* (/ (* x x) s) -1/2) x) s) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x s) x) (neg.f32 s))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 453 |
| 0 | 94 | 452 |
| 1 | 353 | 452 |
| 0 | 2514 | 447 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) |
(+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
#s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s))) |
(/.f32 (*.f32 x x) s) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s) |
(/.f32 x (*.f32 s s)) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
(*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) |
(*.f32 #s(literal -1/6 binary32) x) |
| Outputs |
|---|
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32))) (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 2 binary32)) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 3 binary32)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)) |
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) s)) (/.f32 x s)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -3 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))))) |
(*.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)))) |
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32))) |
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s))))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) s)) x) s)))) #s(literal -1 binary32)))) |
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(/.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) x) s) |
(/.f32 (*.f32 (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32))) x) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 x (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s)) s) |
(/.f32 (*.f32 x (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (*.f32 (neg.f32 s) s)) |
(/.f32 (neg.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x)) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s)) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s)) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(fma.f32 (/.f32 x (fabs.f32 s)) (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 (/.f32 x (fabs.f32 s)) (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(fma.f32 (/.f32 (neg.f32 x) s) (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 (/.f32 (neg.f32 x) s) (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x s) s) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x s) s) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 x s) (neg.f32 s)) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 x s) (neg.f32 s)) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(fma.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(fma.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (*.f32 (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)) x)) |
(+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (*.f32 x (*.f32 (/.f32 #s(literal -1/6 binary32) s) (/.f32 (/.f32 x s) s)))) |
(*.f32 #s(literal -1/6 binary32) x) |
(*.f32 x #s(literal -1/6 binary32)) |
Compiled 14 674 to 2 042 computations (86.1% saved)
37 alts after pruning (29 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 371 | 15 | 386 |
| Fresh | 3 | 14 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 376 | 37 | 413 |
| Status | Accuracy | Program |
|---|---|---|
| 43.8% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| 61.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| 60.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| ▶ | 64.5% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
| 63.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) | |
| 41.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x)))))) | |
| ▶ | 42.0% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 48.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) | |
| 54.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) | |
| ▶ | 58.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) 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 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.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 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| 55.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) | |
| ✓ | 53.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| 53.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 56.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) | |
| 56.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) | |
| 53.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| 42.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| ✓ | 52.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
| 55.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))) | |
| ✓ | 42.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 42.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) | |
| 19.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) | |
| 30.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s)))) | |
| 32.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s))))) | |
| 34.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) | |
| ▶ | 34.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
| 43.9% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| 43.8% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| 9.9% | (*.f32 #s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (*.f32 #s(literal 1/2 binary32) s)) x)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| ✓ | 30.0% | #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
| ▶ | 7.3% | #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
| ✓ | 36.6% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
| 43.8% | #s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) |
Compiled 1 852 to 1 319 computations (28.8% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) | |
| cost-diff | 0 | (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) | |
| cost-diff | 0 | #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) | |
| cost-diff | 0 | (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) | |
| cost-diff | 0 | (/.f32 x s) | |
| cost-diff | 0 | (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) | |
| cost-diff | 0 | #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) | |
| cost-diff | 0 | #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 578 |
| 0 | 89 | 577 |
| 1 | 153 | 577 |
| 2 | 333 | 577 |
| 3 | 1118 | 567 |
| 4 | 4196 | 567 |
| 0 | 8598 | 562 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
s |
x |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
#s(literal 1/4 binary32) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)) |
(*.f32 x (/.f32 (/.f32 x s) s)) |
x |
(/.f32 (/.f32 x s) s) |
(/.f32 x s) |
s |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)) |
(*.f32 x (/.f32 (/.f32 x s) s)) |
x |
(/.f32 (/.f32 x s) s) |
(/.f32 x s) |
s |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) 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 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/6 binary32) |
(/.f32 x s) |
x |
s |
#s(literal 1/2 binary32) |
(/.f32 (/.f32 x s) s) |
(/.f32 #s(literal 1 binary32) s) |
#s(literal 2 binary32) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) |
(-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
s |
x |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(*.f32 (/.f32 x s) #s(literal 1/4 binary32)) |
#s(literal 1/4 binary32) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) |
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x) |
(*.f32 x (/.f32 (/.f32 x s) s)) |
(*.f32 (/.f32 (/.f32 x s) s) x) |
x |
(/.f32 (/.f32 x s) s) |
(/.f32 x s) |
s |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)))) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))) |
(-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)))) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)))) |
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) |
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x)) |
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x) |
(*.f32 x (/.f32 (/.f32 x s) s)) |
(*.f32 (/.f32 (/.f32 x s) s) x) |
x |
(/.f32 (/.f32 x s) s) |
(/.f32 x s) |
s |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x) (/.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 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) |
(-.f32 (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) |
(*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) s) s) x) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal -1/6 binary32) |
(/.f32 x s) |
x |
s |
#s(literal 1/2 binary32) |
(/.f32 (/.f32 x s) s) |
(/.f32 #s(literal 1 binary32) s) |
#s(literal 2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08984375 | (/.f32 (/.f32 x s) s) | |
| accuracy | 0.32428399199296976 | (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) | |
| accuracy | 0.6636682310734308 | (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) | |
| accuracy | 13.392124181701176 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) | |
| accuracy | 0.08984375 | (/.f32 (/.f32 x s) s) | |
| accuracy | 0.7386944158641007 | (*.f32 x (/.f32 (/.f32 x s) s)) | |
| accuracy | 4.94726034889757 | #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) | |
| accuracy | 8.589653398412942 | #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) | |
| accuracy | 0.08984375 | (/.f32 (/.f32 x s) s) | |
| accuracy | 0.7386944158641007 | (*.f32 x (/.f32 (/.f32 x s) s)) | |
| accuracy | 8.58294705930731 | #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) | |
| accuracy | 12.656777515119273 | #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) | |
| accuracy | 0.0 | (/.f32 x s) | |
| accuracy | 0.1836619682068752 | (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) | |
| accuracy | 8.646646246876829 | #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) | |
| accuracy | 12.523086620175805 | #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) | |
| accuracy | 0.04296875 | (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) | |
| accuracy | 0.09375 | (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) | |
| accuracy | 0.6933083124227578 | (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)) | |
| accuracy | 4.94726034889757 | #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
| 79.0ms | 174× | 0 | valid |
| 65.0ms | 82× | 0 | exit |
Compiled 313 to 50 computations (84% saved)
ival-div: 36.0ms (35.2% of total)ival-sub: 25.0ms (24.4% of total)ival-mult: 19.0ms (18.6% of total)ival-add: 12.0ms (11.7% of total)ival-exp: 4.0ms (3.9% of total)const: 4.0ms (3.9% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) |
(*.f32 x (/.f32 (/.f32 x s) s)) |
(/.f32 (/.f32 x s) s) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (/ 1 (exp (/ 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 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (* 1/4 (/ x s)) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (/ x s) #s(hole binary32 (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (* (* x (/ (/ x s) s)) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 1)) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 1)) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (+ 1 (* 1/2 (/ x s))))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (* x (/ (/ x s) s)) #s(hole binary32 (/ (pow x 2) (pow s 2)))) |
#s(approx (/ (/ x s) s) #s(hole binary32 (/ x (pow s 2)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1)) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* -1/6 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1/6 (/ (pow x 3) (pow s 3))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1/6 (/ (pow x 2) (pow s 3))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (* x (+ (* 1/2 (/ 1 s)) (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* x (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))))))) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* -1/6 (/ x s)))) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3)))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2)))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ s x))) (pow s 2)))) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (/ (+ s (* 1/2 x)) s))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ (+ s (* 1/2 x)) (pow s 2)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s x) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s (+ s x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* -1/6 x) (* 1/2 s)) s))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ (+ 1 (* 1/2 (/ x s))) s))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s)))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* -1 (/ (- (* -1/2 (/ x s)) 1) s)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) x) s))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | s | @ | 0 | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (* x (/ (/ x s) s)) (/ (/ x s) s) (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+ (* -1/6 (/ x s)) 1/2)) |
| 4.0ms | x | @ | inf | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (* x (/ (/ x s) s)) (/ (/ x s) s) (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+ (* -1/6 (/ x s)) 1/2)) |
| 4.0ms | x | @ | -inf | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (* x (/ (/ x s) s)) (/ (/ x s) s) (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+ (* -1/6 (/ x s)) 1/2)) |
| 3.0ms | s | @ | -inf | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (* x (/ (/ x s) s)) (/ (/ x s) s) (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+ (* -1/6 (/ x s)) 1/2)) |
| 3.0ms | x | @ | 0 | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ (* 1/4 (/ x s)) 1/2) (* 1/4 (/ x s)) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (* x (/ (/ x s) s)) 1/2) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (* x (/ (/ x s) s)) (/ (/ x s) s) (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+ (* -1/6 (/ x s)) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 581 | 3833 |
| 1 | 1652 | 3534 |
| 2 | 6815 | 3520 |
| 0 | 8920 | 3283 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (/ 1 (exp (/ x s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (/ 1 (exp (/ 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 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (* 1/4 (/ x s)) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (/ x s) #s(hole binary32 (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (* (* x (/ (/ x s) s)) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 1)) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 1)) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (+ 1 (* 1/2 (/ x s))))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (* x (/ (/ x s) s)) #s(hole binary32 (/ (pow x 2) (pow s 2)))) |
#s(approx (/ (/ x s) s) #s(hole binary32 (/ x (pow s 2)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 1)) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* -1/6 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (/ 1 (+ 1 (/ 1 (exp (/ x s))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 1 (/ 1 (exp (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (/ 1 (exp (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (exp (/ x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1/6 (/ (pow x 3) (pow s 3))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/2 (* (pow s 2) x)) (* 2 (/ 1 (pow x 3)))) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1/6 (/ (pow x 2) (pow s 3))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (* (pow s 2) x))) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (/ 1/2 (* (pow s 2) x)) (+ (* 1/6 (/ 1 (pow s 3))) (/ 1 (* s (pow x 2)))))))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))))))) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (* 1/2 (/ x s)))) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (* x (+ (* 1/2 (/ 1 s)) (/ 1 x))))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* x (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (/ 1 (* s x)) (+ (* 1/2 (/ 1 (pow s 2))) (/ 1 (pow x 2))))))) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* -1/6 (/ x s)))) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* x (- (* 1/2 (/ 1 x)) (* 1/6 (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow s 3))) (* 1/2 (/ 1 (* (pow s 2) x)))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x))) x)) (* 1/6 (/ 1 (pow s 3)))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3)))))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* (pow x 2) (- (* -1 (/ (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))) x)) (* 1/6 (/ 1 (pow s 3))))))) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 s)) (* 1/2 (/ 1 x))))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* 1/2 (* s (pow x 2)))) (pow s 3)))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* -1 (* s x)) (* 1/2 (pow x 2))))) (pow s 3)))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (/ (+ (* -1/6 (pow x 3)) (* s (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))))) (pow s 3)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* 1/2 (* s x))) (pow s 3)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (+ (* -1/6 (pow x 2)) (* s (+ (* -1 s) (* 1/2 x)))) (pow s 3)))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s x)) (pow s 2)))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ s x))) (pow s 2)))) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (/ (+ s (* 1/2 x)) s))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ (+ s (* 1/2 x)) (pow s 2)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s x) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s (+ s x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* -1/6 (/ x s)) 1/2) #s(hole binary32 (/ (+ (* -1/6 x) (* 1/2 s)) s))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ (+ 1 (* 1/2 (/ x s))) s))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (* -1 (/ x s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (+ (* -1/16 (/ (pow x 3) s)) (* 1/24 (/ (pow x 3) s)))) (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s)))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* -1 (/ (- (* -1/2 (/ x s)) 1) s)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) x) s))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#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 (/ 1 (exp (/ 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)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ 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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32)) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (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 (/ 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 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 1)) |
#s(approx (/ 1 (exp (/ x s))) #s(literal 1 binary32)) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ x s))))) |
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 x s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (/ 1 (exp (/ x s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) #s(hole binary32 1)) |
#s(approx (exp (/ x s)) #s(literal 1 binary32)) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (exp (/ x s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(literal 1/2 binary32)) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (* 1/4 (/ x s)) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (* 1/4 (/ x s)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (/ x s) (/.f32 x s)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#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)))) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
#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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 x (/.f32 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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(literal 2 binary32)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 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))) (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 (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 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(literal 2 binary32)) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (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 (* (* x (/ (/ x s) s)) 1/2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (* (* x (/ (/ x s) s)) 1/2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(literal 2 binary32)) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (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 (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ -1 s))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 1)) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(literal 1 binary32)) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (/ x s)))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (+.f32 #s(literal 1 binary32) (/.f32 x s))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 1)) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (/ 1/2 s) x) 1) #s(hole binary32 (+ 1 (* 1/2 (/ x s))))) |
#s(approx (+ (* (/ 1/2 s) x) 1) (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ 1 s))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) (/.f32 #s(literal 1 binary32) s)) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)) |
#s(approx (* x (/ (/ x s) s)) #s(hole binary32 (/ (pow x 2) (pow s 2)))) |
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#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 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 (/ 1 (exp (/ x s))))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/4 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3))))) (+ (* -1/8 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* 1/2 (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* -1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal -1/2 binary32) (fma.f32 #s(literal 0 binary32) x (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/12 binary32) (neg.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 binary32))))))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (- (+ 2 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 s #s(literal 3 binary32)))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))) (/ x s)))) |
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))) (pow s 3)))) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (/ 1 (exp (/ x s))) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/3 binary32) (pow.f32 x #s(literal 3 binary32)))) (pow.f32 s #s(literal 3 binary32)))) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))))) |
#s(approx (exp (/ x s)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) |
#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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#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 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32))) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
#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))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 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)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (/ (- (+ (* -1/6 (/ (pow x 2) (pow s 2))) (* 1/2 (/ x s))) 1) s))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (-.f32 (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (/ (+ 1 (* 1/2 (/ x s))) s))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s)) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) (* -1 (/ x s))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (+ (* -1/4 (/ (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))) s)) (* -1/8 (/ (pow x 2) s))) (* 1/4 x)) s))))) |
#s(approx (/ 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 (/ 1 (exp (/ x s))))) #s(hole binary32 (+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (+ (* -1/4 (/ (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) s)) (* 1/8 (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)))) (+ (* -1/4 (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) (* -1/8 (pow x 2)))) s)) (* 1/4 x)) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)) (*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) #s(literal -1/4 binary32)))) s) #s(literal 0 binary32)) (neg.f32 s))) s))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) #s(literal -1 binary32) x) s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) s)) (* 1/2 (/ (pow x 2) s))) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (/ 1 (exp (/ x s))) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (pow x 3) s)) (+ (* 1/2 (/ (pow x 3) s)) (/ (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s))) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))) s)) (* -1 x)) s))))) |
#s(approx (/ 1 (exp (/ x s))) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32))) s) (*.f32 (*.f32 x x) #s(literal -1/2 binary32))) s) #s(literal -1 binary32) x) s))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (exp (/ x s)) (/.f32 (fma.f32 #s(literal 1 binary32) (+.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) x) 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)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#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 (+ 1 (exp (/ (neg x) s)))) (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32))) (neg.f32 s))) 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))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ (* (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.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))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) #s(hole binary32 (* -1 (/ (+ 1 (* -1 (/ (+ (* -1/6 (/ (pow x 2) s)) (* 1/2 x)) s))) s)))) |
#s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/6 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) (neg.f32 s))) |
#s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) #s(hole binary32 (+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) #s(hole binary32 (* -1 (/ (- (* -1/2 (/ x s)) 1) s)))) |
#s(approx (/ (+ (* (/ 1/2 s) x) 1) s) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) (neg.f32 s))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 1 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) x) s))))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 504 |
| 0 | 89 | 503 |
| 1 | 356 | 495 |
| 0 | 2649 | 490 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
#s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) |
(fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) |
(*.f32 x (/.f32 (/.f32 x s) s)) |
(/.f32 (/.f32 x s) s) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
| Outputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -3 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(*.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)))) |
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32))) |
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) #s(literal -1 binary32)))) |
(/.f32 (-.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(/.f32 (+.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(/.f32 (+.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -3 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) (/.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(fma.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -1/2 binary32)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) (/.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -3 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(+.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) |
(*.f32 (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -1/2 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) |
(pow.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
#s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32)))) |
#s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 (/.f32 x s) #s(literal 1/4 binary32))) |
(*.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) |
(*.f32 (/.f32 x s) #s(literal 1/4 binary32)) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) |
(/.f32 (*.f32 (neg.f32 x) #s(literal 1/4 binary32)) (neg.f32 s)) |
(/.f32 (*.f32 #s(literal 1/4 binary32) (neg.f32 x)) (neg.f32 s)) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/4 binary32) x)) (neg.f32 s)) |
(/.f32 (*.f32 #s(literal 1/4 binary32) x) s) |
(/.f32 (neg.f32 x) (neg.f32 s)) |
(/.f32 x (neg.f32 (neg.f32 s))) |
(/.f32 x s) |
(neg.f32 (/.f32 (neg.f32 x) s)) |
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32))))) |
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32))))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (/.f32 x s) s)) |
(*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32)) |
(*.f32 (/.f32 (/.f32 x s) s) (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (/.f32 x s) s) x)) |
(*.f32 x (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)) |
(/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) x)) s) |
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(/.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)))) (neg.f32 (neg.f32 s))) |
(/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (neg.f32 s) (*.f32 s #s(literal -1 binary32))) (*.f32 (neg.f32 s) s)) |
(/.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) |
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s) (*.f32 (*.f32 s s) #s(literal -1 binary32))) (*.f32 (*.f32 s s) (neg.f32 s))) |
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) s (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) #s(literal 2 binary32)) (pow.f32 s #s(literal -2 binary32))) (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 3 binary32)) #s(literal -1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) x)) s)) |
(/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))) (neg.f32 s)) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) |
(fma.f32 (pow.f32 s #s(literal -1/2 binary32)) (pow.f32 s #s(literal -1/2 binary32)) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s) (/.f32 #s(literal 1 binary32) s)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s)) (/.f32 #s(literal 1 binary32) s)) |
(fma.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) s)) |
(fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal 1 binary32) s)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s) (/.f32 #s(literal 1 binary32) s)) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 x s) s) (/.f32 #s(literal 1 binary32) s)) |
(fma.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 #s(literal 1 binary32) s)) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)) |
(+.f32 (/.f32 #s(literal 1 binary32) s) (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x)) |
(+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32))) s)) |
(neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) (neg.f32 s))) |
(*.f32 (/.f32 (/.f32 x s) s) x) |
(*.f32 x (/.f32 (/.f32 x s) s)) |
(/.f32 (*.f32 (/.f32 (neg.f32 x) s) x) (neg.f32 s)) |
(/.f32 (*.f32 x (/.f32 (neg.f32 x) s)) (neg.f32 s)) |
(/.f32 (neg.f32 (*.f32 (/.f32 x s) x)) (neg.f32 s)) |
(/.f32 (*.f32 (neg.f32 x) x) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 (/.f32 x s) x) s) |
(/.f32 (*.f32 x x) (*.f32 s s)) |
(/.f32 (/.f32 x (fabs.f32 s)) (fabs.f32 s)) |
(/.f32 (/.f32 (neg.f32 x) s) (neg.f32 s)) |
(/.f32 (neg.f32 x) (*.f32 (neg.f32 s) s)) |
(/.f32 (/.f32 x s) (neg.f32 (neg.f32 s))) |
(/.f32 (/.f32 x s) s) |
(/.f32 x (*.f32 s s)) |
(neg.f32 (/.f32 (/.f32 (neg.f32 x) s) s)) |
(neg.f32 (/.f32 (/.f32 x s) (neg.f32 s))) |
#s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) x) #s(literal 1/2 binary32))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))) |
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))) |
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (/.f32 x s))) |
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal -1/6 binary32))) |
(fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(fma.f32 (/.f32 x s) #s(literal -1/6 binary32) #s(literal 1/2 binary32)) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32)))) (/.f32 #s(literal 1/8 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal -1/12 binary32))))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) |
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) |
Compiled 14 378 to 1 943 computations (86.5% saved)
35 alts after pruning (24 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 388 | 6 | 394 |
| Fresh | 6 | 18 | 24 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 8 | 8 |
| Total | 396 | 35 | 431 |
| Status | Accuracy | Program |
|---|---|---|
| 43.8% | (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| 61.1% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| ✓ | 64.5% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
| 63.2% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) | |
| 41.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x)))))) | |
| 42.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 58.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) | |
| 48.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) | |
| ✓ | 58.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) 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 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.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 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| ✓ | 53.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| 56.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) | |
| 53.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| 42.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| ✓ | 52.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
| 55.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))) | |
| 53.8% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) | |
| ✓ | 42.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 42.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) | |
| 19.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) | |
| 30.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s)))) | |
| 31.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) | |
| 32.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) | |
| 35.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) | |
| 34.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) | |
| 43.9% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| 43.8% | (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| 9.9% | (*.f32 #s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (*.f32 #s(literal 1/2 binary32) s)) x)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| ✓ | 30.0% | #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
| ✓ | 7.3% | #s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
| ✓ | 36.6% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
| 43.8% | #s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) |
Compiled 2 348 to 1 018 computations (56.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) |
(/.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))))) |
(*.f32 #s(approx (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (/.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x (*.f32 #s(literal 1/2 binary32) s)) x)) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 #s(approx (* (/ (neg x) s) 2) (*.f32 #s(literal -2 binary32) (/.f32 x s)))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.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 #s(literal 1 binary32) (/.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (expm1.f32 (/.f32 (neg.f32 x) s)))) |
#s(approx (* (/ 1 (- 1 (exp (* (/ (neg x) s) 2)))) (- 1 (exp (/ (neg x) s)))) (/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal -2 binary32)) (/.f32 x s))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 (/.f32 x s)) #s(literal -2 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (exp.f32 #s(literal 2 binary32)) (/.f32 (neg.f32 x) s)))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.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))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
7 calls:
| 15.0ms | x |
| 15.0ms | (neg.f32 x) |
| 13.0ms | s |
| 11.0ms | (/.f32 (neg.f32 x) s) |
| 11.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (neg.f32 x) |
| 99.8% | 1 | (/.f32 (neg.f32 x) s) |
| 99.8% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 99.8% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 99.8% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | s |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 (/.f32 x s) s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
7 calls:
| 18.0ms | x |
| 14.0ms | (/.f32 (neg.f32 x) s) |
| 11.0ms | s |
| 10.0ms | (neg.f32 x) |
| 8.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (neg.f32 x) |
| 94.4% | 2 | (/.f32 (neg.f32 x) s) |
| 94.4% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 94.4% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 94.4% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 94.1% | 2 | x |
| 64.5% | 1 | s |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) x) (*.f32 s s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
4 calls:
| 11.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 9.0ms | (/.f32 (neg.f32 x) s) |
| 7.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 7.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 2 | (/.f32 (neg.f32 x) s) |
| 94.4% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 94.4% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 94.4% | 2 | (/.f32 #s(literal 1 binary32) (+.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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x)))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32)) x) s)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(approx (+ 1/2 (/ (* -1/6 x) s)) (*.f32 #s(literal -1/6 binary32) (/.f32 x s))) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)))))) |
4 calls:
| 34.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 9.0ms | (/.f32 (neg.f32 x) s) |
| 7.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 7.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.4% | 2 | (/.f32 (neg.f32 x) s) |
| 94.4% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 94.4% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 94.4% | 2 | (/.f32 #s(literal 1 binary32) (+.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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x (/.f32 #s(literal -1 binary32) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x)))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) |
6 calls:
| 18.0ms | (neg.f32 x) |
| 8.0ms | x |
| 7.0ms | (/.f32 (neg.f32 x) s) |
| 6.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 6.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.5% | 2 | (neg.f32 x) |
| 92.5% | 2 | x |
| 93.1% | 2 | (/.f32 (neg.f32 x) s) |
| 93.1% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 93.1% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 93.1% | 2 | (/.f32 #s(literal 1 binary32) (+.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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
6 calls:
| 11.0ms | x |
| 6.0ms | (neg.f32 x) |
| 6.0ms | (/.f32 (neg.f32 x) s) |
| 5.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 5.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 2 | (neg.f32 x) |
| 90.9% | 2 | x |
| 91.3% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 91.3% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 91.3% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 91.3% | 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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 x) s)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32) (neg.f32 x)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x)))) |
4 calls:
| 10.0ms | (/.f32 (neg.f32 x) s) |
| 5.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 4.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 4.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 2 | (/.f32 (neg.f32 x) s) |
| 91.2% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 91.2% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 91.2% | 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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
6 calls:
| 4.0ms | (/.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 |
|---|---|---|
| 90.2% | 2 | x |
| 90.2% | 2 | (neg.f32 x) |
| 90.5% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 90.5% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 90.5% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 90.5% | 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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
4 calls:
| 53.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 3.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 3.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 2 | (/.f32 (neg.f32 x) s) |
| 90.5% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 90.5% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 90.5% | 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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
7 calls:
| 33.0ms | s |
| 3.0ms | (neg.f32 x) |
| 3.0ms | x |
| 3.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.4% | 1 | s |
| 63.5% | 2 | x |
| 63.5% | 2 | (neg.f32 x) |
| 63.9% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 63.9% | 2 | (/.f32 (neg.f32 x) s) |
| 63.9% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 63.9% | 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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) (*.f32 s s)) #s(literal 1/2 binary32))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x)))) |
4 calls:
| 3.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 2.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 63.9% | 2 | (/.f32 (neg.f32 x) s) |
| 63.9% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 63.9% | 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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) 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 (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
7 calls:
| 31.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | s |
| 3.0ms | (neg.f32 x) |
| 2.0ms | x |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.6% | 1 | s |
| 50.9% | 2 | x |
| 50.9% | 2 | (neg.f32 x) |
| 51.5% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 51.5% | 2 | (/.f32 (neg.f32 x) s) |
| 51.5% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 51.5% | 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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
4 calls:
| 2.0ms | (/.f32 (neg.f32 x) s) |
| 2.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 2.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.5% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 51.5% | 2 | (/.f32 (neg.f32 x) s) |
| 51.5% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 51.5% | 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 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.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 (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) |
6 calls:
| 4.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 2.0ms | 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 2 | x |
| 50.4% | 2 | (neg.f32 x) |
| 50.4% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 50.4% | 2 | (/.f32 (neg.f32 x) s) |
| 50.4% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 50.4% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 28 to 29 computations (-3.6% saved)
Total -9.4b remaining (-46.4%)
Threshold costs -9.4b (-46.4%)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(approx (+ (* 1/4 (/ x s)) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#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 (/ 1 (exp (/ x s))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #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) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.6% | 1 | s |
| 36.6% | 1 | x |
| 36.6% | 1 | (neg.f32 x) |
| 36.6% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 36.6% | 1 | (/.f32 (neg.f32 x) s) |
| 36.6% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 36.6% | 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 |
|---|---|---|
| 4.0ms | 0.49031779170036316 | 0.49519842863082886 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.49031779170036316 | 0.49519842863082886 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.4501692093555028e-17 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 38.77226638793945 | 116.20530700683594 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0704292058944702 | 1.9626045227050781 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 38.77226638793945 | 116.20530700683594 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.019392490386963 | 2.0394935607910156 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 68957473758773250.0 | +inf |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 68957473758773250.0 | +inf |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 68957473758773250.0 | +inf |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0704292058944702 | 1.9626045227050781 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0704292058944702 | 1.9626045227050781 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0394935607910156 | 18.838106155395508 |
Compiled 12 to 14 computations (-16.7% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 154 | 774 |
| 1 | 207 | 774 |
| 2 | 354 | 774 |
| 3 | 926 | 774 |
| 4 | 3249 | 774 |
| 1× | node limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4152361/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4152361/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4236247/2097152 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 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 99999998430674944 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 99999998430674944 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 (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 99999998430674944 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))) |
(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))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) 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 4 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 (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4152361/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) x) s)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 4152361/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x (/.f32 #s(literal -1/6 binary32) s) #s(literal 1/2 binary32)) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32))))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (+ (* -1/6 (/ x s)) 1/2) (/ (/ x s) s)) (/ 1 s)) (*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 s s)) x)) x #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (- 1 (/ (- (* (/ (* x x) s) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 x (*.f32 s s))) #s(literal 1/2 binary32))))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal 50 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) x))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 4236247/2097152 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 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 99999998430674944 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 99999998430674944 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 (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 99999998430674944 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 (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) x))))) |
(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))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) 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 4 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 (- 2 (/ x s)) (/.f32 (neg.f32 x) s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
| 1× | fuel |
Compiled 774 to 159 computations (79.5% saved)
Compiled 1 566 to 334 computations (78.7% saved)
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