
Time bar (total: 5.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 4 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 5 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 6 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 7 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 8 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 9 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 10 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 11 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 864.0ms | 8 256× | 0 | valid |
const: 195.0ms (30.7% of total)ival-div: 174.0ms (27.4% of total)ival-<=: 80.0ms (12.6% of total)ival-exp: 72.0ms (11.3% of total)ival-neg: 47.0ms (7.4% of total)ival-add: 41.0ms (6.4% of total)ival-and: 11.0ms (1.7% of total)exact: 10.0ms (1.6% of total)ival-assert: 3.0ms (0.5% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 0 | 2 | (-2.5589634614522088e-17 5.094729792923407e-20) | 0 | - | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 0 | 0 | - | 0 | - | (neg.f32 x) |
| 0 | 0 | - | 0 | - | (/.f32 (neg.f32 x) s) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 (neg.f32 x) s)) | sensitivity | 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 |
| 40.0ms | 512× | 0 | valid |
Compiled 73 to 28 computations (61.6% saved)
ival-neg: 13.0ms (47.8% of total)ival-div: 7.0ms (25.7% of total)ival-exp: 4.0ms (14.7% of total)ival-add: 2.0ms (7.3% 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 | 20 | 41 |
| 1 | 50 | 41 |
| 2 | 104 | 41 |
| 3 | 247 | 41 |
| 4 | 883 | 41 |
| 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 |
|---|---|---|
| ▶ | 99.9% | (/.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 | 0.030743612185872675 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| accuracy | 0.03515625 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) | |
| accuracy | 0.05078125 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 16.0ms | 256× | 0 | valid |
Compiled 32 to 10 computations (68.8% saved)
ival-div: 3.0ms (32.7% of total)ival-exp: 2.0ms (21.8% of total)ival-neg: 2.0ms (21.8% of total)ival-add: 1.0ms (10.9% 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 | |
|---|---|---|---|---|
| 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 | 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 | @ | 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)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 59 | 8 | 67 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 59 | 9 | 68 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| ✓ | 99.9% | (/.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)))) | |
| ▶ | 52.5% | (/.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)))) |
| 55.6% | (/.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)))) | |
| ▶ | 44.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| ▶ | 26.5% | #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)))) |
| 29.5% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| ▶ | 34.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 311 to 244 computations (21.5% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 x s) | |
| cost-diff | 0 | (pow.f32 (/.f32 x s) #s(literal 3 binary32)) | |
| cost-diff | 0 | (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))) | |
| cost-diff | 0 | #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)))) | |
| 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 236 |
| 0 | 54 | 233 |
| 1 | 93 | 233 |
| 2 | 218 | 233 |
| 3 | 698 | 233 |
| 4 | 2907 | 233 |
| 0 | 8084 | 233 |
| 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) |
#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)))) |
(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))) |
(pow.f32 (/.f32 x s) #s(literal 3 binary32)) |
(/.f32 x s) |
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(literal 1/4 binary32) |
#s(literal 1/2 binary32) |
| 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) |
#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)))) (fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
(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))) |
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(pow.f32 (/.f32 x s) #s(literal 3 binary32)) |
(/.f32 x s) |
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)) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal 1/4 binary32) |
#s(literal 1/2 binary32) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1854261825233373 | (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) | |
| accuracy | 0.19111254884221007 | (pow.f32 (/.f32 x s) #s(literal 3 binary32)) | |
| accuracy | 3.433147316729677 | (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))) | |
| accuracy | 13.273026962569599 | #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)))) | |
| accuracy | 0.09994125976844201 | (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) | |
| accuracy | 1.1243209902792588 | (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 | 3.1993141305743413 | (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) | |
| accuracy | 12.708363265488241 | #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 | 0.01171875 | (-.f32 #s(literal 2 binary32) (/.f32 x s)) | |
| accuracy | 0.05078125 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| accuracy | 13.607539814007877 | #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) | |
| accuracy | 11.115963569505261 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) | |
| accuracy | 0.03515625 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) | |
| accuracy | 0.03558017365928973 | (exp.f32 (/.f32 x s)) | |
| accuracy | 0.05078125 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) | |
| accuracy | 0.05078125 | (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
| 47.0ms | 173× | 0 | valid |
| 20.0ms | 83× | 0 | exit |
Compiled 184 to 33 computations (82.1% saved)
ival-div: 22.0ms (42.3% of total)ival-mult: 7.0ms (13.5% of total)ival-pow: 6.0ms (11.5% of total)ival-add: 5.0ms (9.6% of total)ival-exp: 4.0ms (7.7% of total)const: 4.0ms (7.7% of total)ival-sub: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-neg: 1.0ms (1.9% 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) (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)) |
#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)))) |
(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))) |
(pow.f32 (/.f32 x s) #s(literal 3 binary32)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(/.f32 #s(literal 1/2 binary32) (*.f32 s s)) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 1/2)) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (pow (/ x s) 3) #s(hole binary32 (/ (pow x 3) (pow s 3)))) |
#s(approx (* (/ 1/2 (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (exp (/ 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3))))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (- 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2))))))))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3)))))))) |
#s(approx (- 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3)))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3)))) |
#s(approx (/ 1/2 (* s s)) #s(hole binary32 (/ 1/2 (pow s 2)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) 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 (/ 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ 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 (/ 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | 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)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* (/ x s) 1/4) 1/2)) |
| 7.0ms | 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)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* (/ x s) 1/4) 1/2)) |
| 5.0ms | 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)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* (/ x s) 1/4) 1/2)) |
| 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)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* (/ x s) 1/4) 1/2)) |
| 4.0ms | 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)))) (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (pow (/ x s) 3) (* (/ 1/2 (* s s)) x) (/ 1/2 (* s s)) (+ (* (/ x s) 1/4) 1/2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 459 | 2454 |
| 1 | 1343 | 2189 |
| 2 | 5689 | 2181 |
| 0 | 8462 | 2064 |
| 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 1/2)) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (pow (/ x s) 3) #s(hole binary32 (/ (pow x 3) (pow s 3)))) |
#s(approx (* (/ 1/2 (* s s)) x) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (exp (/ 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (* -1/48 (/ (pow x 3) (pow s 3))))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (* (pow x 3) (- (* 1/4 (/ 1 (* s (pow x 2)))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (* (pow x 3) (- (+ (/ 1/4 (* s (pow x 2))) (/ 1/2 (pow x 3))) (* 1/48 (/ 1 (pow s 3))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (- 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/48 (/ 1 (pow s 3))) (* 1/4 (/ 1 (* s (pow x 2))))))))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x))) (pow x 2))) (* 1/48 (/ 1 (pow s 3)))))))) |
#s(approx (- 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* 1/4 (* (pow s 2) x))) (pow s 3)))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (/ (+ (* -1/48 (pow x 3)) (* (pow s 2) (+ (* 1/4 x) (* 1/2 s)))) (pow s 3)))) |
#s(approx (/ 1/2 (* s s)) #s(hole binary32 (/ 1/2 (pow s 2)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) 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 (/ 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ 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 (/ 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) 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 #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 (+.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 (/ 1 (+ 1 (/ 1 (exp (/ x s))))) #s(hole binary32 1/2)) |
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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 (/ 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 (/ (+ (* -1/4 (+ (* -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 (/ 1 (exp (/ 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 (/.f32 #s(literal 1/4 binary32) s) x #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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #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 (/ 1 (exp (/ 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 x (/.f32 x s)) #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 (/.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 (+ (* 1/6 (/ (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 (/.f32 #s(literal 1/2 binary32) s) x #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 (/ 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 (/ (+ (* -1/24 (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 (/ 1 (exp (/ 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 (/.f32 #s(literal 1/4 binary32) s) x #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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #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 (/ 1 (exp (/ 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 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 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 (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (+ 1/2 (+ (* -1/48 (/ (pow x 3) (pow s 3))) (* 1/4 (/ x s)))))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (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 (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 x (/.f32 x s)) #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 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32)))) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) s) #s(literal -1 binary32) 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))))) (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 0 binary32) x (fma.f32 #s(literal 1/8 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32))) (*.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32) (*.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #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 (/ 1 (exp (/ 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 #s(literal -1/2 binary32) (pow.f32 x #s(literal 3 binary32)))) s) (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) 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 (/.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 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (*.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x))))) |
#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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #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 (/ 1 (exp (/ 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 x (/.f32 x s)) #s(literal -1/2 binary32) 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 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) #s(hole binary32 (+ 1/2 (* -1 (/ (+ (* -1/4 x) (* 1/48 (/ (pow x 3) (pow s 2)))) s))))) |
#s(approx (+ (* (pow (/ x s) 3) -1/48) (+ (* (/ x s) 1/4) 1/2)) (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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 205 |
| 0 | 54 | 202 |
| 1 | 212 | 202 |
| 0 | 1423 | 202 |
| 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)) |
#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)))) |
(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))) |
(pow.f32 (/.f32 x s) #s(literal 3 binary32)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(/.f32 #s(literal 1/2 binary32) (*.f32 s s)) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 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 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (cosh.f32 (/.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 #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 (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 (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) (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 (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)))) |
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(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -1/110592 binary32) (pow.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (pow.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) |
(/.f32 (fma.f32 #s(literal -1/110592 binary32) (pow.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))))) |
(/.f32 (fma.f32 #s(literal -1/110592 binary32) (pow.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (pow.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)))) (/.f32 (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))))) |
(-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) |
(-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal -1/48 binary32))) |
(fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) |
(fma.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3/2 binary32))) (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(fma.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (/.f32 x s) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(fma.f32 (*.f32 #s(literal -1/48 binary32) (/.f32 x s)) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)) #s(literal -1/48 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (*.f32 (/.f32 x s) #s(literal -1/48 binary32)) (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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) |
(fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(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))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) |
(fma.f32 (/.f32 x s) (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/48 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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) |
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) |
(+.f32 (fma.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (pow.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (-.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) (pow.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 2 binary32))))) |
(+.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) #s(literal 1/2 binary32)) |
(+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) |
(+.f32 (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(+.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)))) |
(+.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) (*.f32 #s(literal -1/48 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) |
(*.f32 (neg.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)))) |
(*.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)) (pow.f32 (/.f32 x s) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (/.f32 x s)) |
(*.f32 (/.f32 x s) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) |
(/.f32 (*.f32 (neg.f32 x) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (neg.f32 s)) |
(/.f32 (*.f32 x (pow.f32 (/.f32 x s) #s(literal 2 binary32))) s) |
(/.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (neg.f32 x)) (neg.f32 s)) |
(/.f32 (*.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) x) s) |
(/.f32 (neg.f32 (pow.f32 x #s(literal 3 binary32))) (neg.f32 (pow.f32 s #s(literal 3 binary32)))) |
(/.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) |
(/.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 s #s(literal 3 binary32))) |
(pow.f32 (exp.f32 (log.f32 (/.f32 x s))) #s(literal 3 binary32)) |
(pow.f32 (pow.f32 (/.f32 x s) #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 3/2 binary32)) |
(pow.f32 (/.f32 x s) #s(literal 3 binary32)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (/.f32 x s)) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 (/.f32 x s)) #s(literal 3 binary32)))) |
(exp.f32 (*.f32 (log.f32 (/.f32 x s)) #s(literal 3 binary32))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (/.f32 (neg.f32 x) s)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (/.f32 x (fabs.f32 s))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x (*.f32 s s))) |
(*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) |
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) (neg.f32 s)) |
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fabs.f32 s)) (fabs.f32 s)) |
(/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) s) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) |
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) s)) s) |
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (*.f32 (neg.f32 s) s)) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) |
(/.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (neg.f32 s)) |
(/.f32 (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (fabs.f32 s)) |
(/.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 s)) |
(/.f32 (/.f32 #s(literal 1/2 binary32) s) s) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 s) s)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 s s)) |
(neg.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) |
(neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 s) s))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))) |
(/.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal -1/4 binary32)) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) |
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (*.f32 (/.f32 x s) #s(literal 1/8 binary32))))) |
(/.f32 (fma.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32))))) |
(-.f32 (/.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)))) |
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/4 binary32) (/.f32 x s))) |
(-.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal 1/4 binary32))) |
(fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)) |
(+.f32 (/.f32 (*.f32 #s(literal 1/64 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32))))) (/.f32 #s(literal 1/8 binary32) (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))))) |
(+.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) |
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
Compiled 8 056 to 1 267 computations (84.3% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 282 | 15 | 297 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 284 | 22 | 306 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| 57.7% | (/.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 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) x) s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| ▶ | 62.7% | (/.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)))))) |
| ▶ | 61.4% | (/.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)))))) |
| ✓ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 59.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) | |
| 54.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ 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)))) | |
| ▶ | 55.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
| ▶ | 43.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.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))) x #s(literal 2 binary32)))) |
| 59.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) | |
| ✓ | 52.5% | (/.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)))) |
| 44.6% | (/.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)))) | |
| 57.2% | (/.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 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) | |
| ✓ | 44.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 44.6% | (/.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)))) | |
| 22.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) | |
| 49.8% | (/.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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))) | |
| 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 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) | |
| 37.6% | (/.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))))) | |
| ✓ | 26.5% | #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)))) |
| ▶ | 29.5% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ✓ | 34.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 964 to 698 computations (27.6% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (*.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) | |
| cost-diff | 1 | (/.f32 (-.f32 (*.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))) | |
| cost-diff | 2 | (*.f32 (*.f32 s s) (neg.f32 s)) | |
| cost-diff | 4 | (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) | |
| cost-diff | 0 | (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) | |
| cost-diff | 0 | (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) | |
| cost-diff | 0 | #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #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)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) | |
| cost-diff | 0 | (/.f32 x s) | |
| cost-diff | 0 | (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| 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 | 50 | 433 |
| 0 | 83 | 431 |
| 1 | 152 | 410 |
| 2 | 446 | 390 |
| 3 | 3049 | 390 |
| 0 | 8353 | 385 |
| 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 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
(/.f32 x s) |
x |
s |
#s(literal 1/4 binary32) |
#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)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
#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 (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) |
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
#s(literal 2 binary32) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) |
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) |
(*.f32 x (/.f32 x s)) |
x |
(/.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 (*.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))) 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) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32))) |
(fma.f32 (/.f32 (-.f32 (*.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))) x #s(literal 2 binary32)) |
(/.f32 (-.f32 (*.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 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) |
(*.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
x |
(neg.f32 s) |
s |
(*.f32 (*.f32 s s) #s(literal -1 binary32)) |
(*.f32 s s) |
#s(literal -1 binary32) |
(*.f32 (*.f32 s s) (neg.f32 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 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #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)) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(/.f32 x s) |
x |
s |
#s(literal 1/4 binary32) |
#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)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 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 (/.f32 x s) #s(literal 1 binary32))))) |
(-.f32 (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) #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 (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32)))) |
#s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) |
#s(approx (exp (/ x s)) (-.f32 (/.f32 x s) #s(literal -1 binary32))) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(-.f32 (/.f32 x s) #s(literal -1 binary32)) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)) |
#s(literal 2 binary32) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) |
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) |
(*.f32 x (/.f32 x s)) |
(*.f32 (/.f32 x s) x) |
x |
(/.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 (*.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))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32)) (/.f32 x s) #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) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))) |
(fma.f32 (/.f32 (-.f32 (*.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))) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)) |
(/.f32 (-.f32 (*.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 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32)) s) |
(-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) |
(*.f32 s (fma.f32 #s(literal -1/2 binary32) x s)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 s)) |
(*.f32 (*.f32 #s(literal -1/2 binary32) s) x) |
(*.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
x |
(neg.f32 s) |
s |
(*.f32 (*.f32 s s) #s(literal -1 binary32)) |
(*.f32 (neg.f32 s) s) |
(*.f32 s s) |
#s(literal -1 binary32) |
(*.f32 (*.f32 s s) (neg.f32 s)) |
(pow.f32 (neg.f32 s) #s(literal 3 binary32)) |
#s(literal 2 binary32) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05078125 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.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))) x #s(literal 2 binary32)))) | |
| accuracy | 1.1243209902792588 | (fma.f32 (/.f32 (-.f32 (*.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))) x #s(literal 2 binary32)) | |
| accuracy | 7.616068365383121 | (/.f32 (-.f32 (*.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))) | |
| accuracy | 12.708363265488241 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.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))) x #s(literal 2 binary32))) | |
| accuracy | 0.0546875 | (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) | |
| accuracy | 0.1015625 | (*.f32 x (/.f32 x s)) | |
| accuracy | 0.19790140044228388 | (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) | |
| accuracy | 12.708363265488241 | #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))) | |
| accuracy | 0.03515625 | (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))))) | |
| accuracy | 0.05078125 | (/.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)))))) | |
| accuracy | 0.05078125 | (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))) | |
| accuracy | 9.431549550680272 | #s(approx (exp (/ x s)) (+.f32 (/.f32 x s) #s(literal 1 binary32))) | |
| accuracy | 0.0 | (/.f32 x s) | |
| accuracy | 0.1854261825233373 | (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) | |
| accuracy | 12.553184944525073 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| accuracy | 0.078125 | (/.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 | 1.0190100566511928 | (fma.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal 1 binary32)) s) x #s(literal 1 binary32)) | |
| accuracy | 5.642977405955972 | #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))) |
| 69.0ms | 173× | 0 | valid |
| 20.0ms | 83× | 0 | exit |
Compiled 293 to 44 computations (85% saved)
ival-div: 39.0ms (53.9% of total)ival-mult: 15.0ms (20.7% of total)ival-add: 9.0ms (12.4% of total)ival-exp: 4.0ms (5.5% of total)ival-sub: 2.0ms (2.8% of total)ival-neg: 2.0ms (2.8% of total)exact: 1.0ms (1.4% 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 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
(/.f32 x s) |
(/.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) (/.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 (exp (/ x s)) (+.f32 (/.f32 x s) #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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) |
(-.f32 (*.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 (-.f32 (*.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 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 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) |
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) |
(*.f32 x (/.f32 x s)) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.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))) x #s(literal 2 binary32))) |
(fma.f32 (/.f32 (-.f32 (*.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))) 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) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 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 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 2)) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ 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 (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (pow s 2))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (- (* -1/2 (* s x)) (* -1 (pow s 2))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (* (* 1/2 x) (neg s)) #s(hole binary32 (* -1/2 (* s x)))) |
#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)) -1/2) x) #s(hole binary32 x)) |
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s)))))) |
#s(approx (* x (/ x s)) #s(hole binary32 (/ (pow x 2) 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 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 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#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 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (* -1/2 (* s x)))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (* x (+ (* -1/2 s) (/ (pow s 2) x))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#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 (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s)))) |
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (pow s 2) x)) (* 1/2 s)))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2)))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (* s (+ s (* -1/2 x))))) |
#s(approx (* (* s s) (neg s)) #s(hole binary32 (* -1 (pow s 3)))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#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 (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#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 (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (* (pow s 2) (+ 1 (* -1/2 (/ x s)))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ (- (* 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 (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#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 (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* -1 (/ (+ 1 (* -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 (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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | x | @ | 0 | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 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 (/ 1 (exp (/ x s)))) (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) (/ (+ (* (* x (/ x s)) -1/2) x) s) (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s)) (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (* (* 1/2 x) (neg s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (+ (* (* x (/ x s)) -1/2) x) (* x (/ x s)) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s))))) |
| 5.0ms | s | @ | inf | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 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 (/ 1 (exp (/ x s)))) (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) (/ (+ (* (* x (/ x s)) -1/2) x) s) (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s)) (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (* (* 1/2 x) (neg s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (+ (* (* x (/ x s)) -1/2) x) (* x (/ x s)) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s))))) |
| 5.0ms | x | @ | inf | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 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 (/ 1 (exp (/ x s)))) (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) (/ (+ (* (* x (/ x s)) -1/2) x) s) (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s)) (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (* (* 1/2 x) (neg s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (+ (* (* x (/ x s)) -1/2) x) (* x (/ x s)) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s))))) |
| 4.0ms | s | @ | 0 | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 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 (/ 1 (exp (/ x s)))) (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) (/ (+ (* (* x (/ x s)) -1/2) x) s) (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s)) (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (* (* 1/2 x) (neg s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (+ (* (* x (/ x s)) -1/2) x) (* x (/ x s)) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s))))) |
| 4.0ms | x | @ | -inf | ((/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ 1 (exp (/ x s))) (exp (/ x s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 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 (/ 1 (exp (/ x s)))) (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) (/ (+ (* (* x (/ x s)) -1/2) x) s) (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s)) (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (* (* 1/2 x) (neg s)) (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (+ (* (/ 1/2 s) x) 1) (/ (+ (* (/ 1/2 s) x) 1) s) (+ (* (* x (/ x s)) -1/2) x) (* x (/ x s)) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 528 | 3273 |
| 1 | 1518 | 2910 |
| 2 | 6043 | 2894 |
| 0 | 8510 | 2698 |
| 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 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 1/2)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (/ x s) #s(hole binary32 (/ x s))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 2)) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ 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 (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (pow s 2))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (- (* -1/2 (* s x)) (* -1 (pow s 2))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (* (* 1/2 x) (neg s)) #s(hole binary32 (* -1/2 (* s x)))) |
#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)) -1/2) x) #s(hole binary32 x)) |
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s)))))) |
#s(approx (* x (/ x s)) #s(hole binary32 (/ (pow x 2) 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 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 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#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 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (* -1/2 (* s x)))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (* x (+ (* -1/2 s) (/ (pow s 2) x))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#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 (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s)))) |
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (pow s 2) x)) (* 1/2 s)))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2)))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (* s (+ s (* -1/2 x))))) |
#s(approx (* (* s s) (neg s)) #s(hole binary32 (* -1 (pow s 3)))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#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 (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) s))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#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 (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (* (pow s 2) (+ 1 (* -1/2 (/ x s)))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ (- (* 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 (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#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 (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* -1 (/ (+ 1 (* -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 (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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
| Outputs |
|---|
#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 (/ 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 #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 (/ 1 (exp (/ 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 (/ 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 (+.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 (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 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) 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 (+ 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 (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(literal 1/2 binary32)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (* (/ x s) 1/4) 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 (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 2)) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(literal 2 binary32)) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) 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 (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (/ x s))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (/.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 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (pow s 2))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) #s(hole binary32 (- (* -1/2 (* s x)) (* -1 (pow s 2))))) |
#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) |
#s(approx (* (* 1/2 x) (neg s)) #s(hole binary32 (* -1/2 (* s x)))) |
#s(approx (* (* 1/2 x) (neg s)) (*.f32 (*.f32 s x) #s(literal -1/2 binary32))) |
#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(literal 1 binary32)) |
#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) (+.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 (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (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)) -1/2) x) #s(hole binary32 x)) |
#s(approx (+ (* (* x (/ x s)) -1/2) x) x) |
#s(approx (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s)))))) |
#s(approx (+ (* (* x (/ x s)) -1/2) x) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)) |
#s(approx (* x (/ x s)) #s(hole binary32 (/ (pow x 2) s))) |
#s(approx (* x (/ x s)) (*.f32 (/.f32 x s) x)) |
#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 #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 (/ 1 (exp (/ 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 (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(literal 2 binary32)) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 (+ 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)))) |
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#s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) s)) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #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 (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (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 (+ (* (* x (/ x s)) -1/2) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s))))) |
#s(approx (+ (* (* x (/ x s)) -1/2) x) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)) |
#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 (/ 1 (exp (/ x s)))) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (/ 1 (exp (/ 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 #s(literal 1/2 binary32) x) x)) s)) s))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 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 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 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 (/ 1 (exp (/ x s)))) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))) |
#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 (/ 1 (exp (/ 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 #s(literal -1/2 binary32) (*.f32 x x))) 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))) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 1 binary32))) |
#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 #s(literal -1/2 binary32) (*.f32 x x))) 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 (+.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) x) x)) 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 (/ 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 (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))))) |
#s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))) |
#s(approx (/ (+ (* (* x (/ x s)) -1/2) x) s) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) 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) x) 1) (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 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))))) |
#s(approx (+ 1 (/ 1 (exp (/ 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 #s(literal 1/2 binary32) x) x)) s)) s))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (fma.f32 (neg.f32 x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) #s(literal 2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 384 |
| 0 | 83 | 382 |
| 1 | 327 | 362 |
| 0 | 2454 | 357 |
| 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 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
(/.f32 x s) |
(/.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) (/.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 (exp (/ x s)) (+.f32 (/.f32 x s) #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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) |
(-.f32 (*.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 (-.f32 (*.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 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 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) |
(fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) |
(*.f32 x (/.f32 x s)) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.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))) x #s(literal 2 binary32))) |
(fma.f32 (/.f32 (-.f32 (*.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))) 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) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 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))) |
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(/.f32 (neg.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (/.f32 x s) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x))) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)) (*.f32 x x)) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x)) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (/.f32 x s) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x)))) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (/.f32 x s) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (-.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x))) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x))) |
(-.f32 x (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) x))) |
(-.f32 x (*.f32 (neg.f32 (*.f32 (/.f32 x s) x)) #s(literal -1/2 binary32))) |
(-.f32 x (*.f32 (neg.f32 x) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x x) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) |
(fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) |
(fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) |
(fma.f32 x (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x))) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x))) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32))))) |
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x) |
(+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x))) |
(*.f32 (/.f32 x s) x) |
(*.f32 x (/.f32 x s)) |
(/.f32 (neg.f32 (*.f32 x x)) (neg.f32 s)) |
(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) |
(/.f32 (*.f32 x (neg.f32 x)) (neg.f32 s)) |
(/.f32 (*.f32 x x) s) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))) |
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))))) (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32))) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 3 binary32))) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32)) (*.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) (*.f32 x #s(literal 2 binary32)))))) |
(/.f32 (+.f32 #s(literal 8 binary32) (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 3 binary32))) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))))) (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32)) (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) x)) |
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 x) (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (pow.f32 (neg.f32 s) #s(literal 3 binary32))))) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) s) (/.f32 x (*.f32 (neg.f32 s) s)) #s(literal 2 binary32)) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (*.f32 s s)) (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)) |
(fma.f32 x (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)) |
(+.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))))) (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32)))) (/.f32 #s(literal 8 binary32) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))))) (pow.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32)))))) |
(*.f32 (pow.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)))) |
(pow.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)))))) |
Compiled 14 353 to 2 250 computations (84.3% saved)
30 alts after pruning (21 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 438 | 14 | 452 |
| Fresh | 4 | 7 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 444 | 30 | 474 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| 57.7% | (/.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 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) x) s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| 57.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| ✓ | 62.7% | (/.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)))))) |
| ✓ | 61.4% | (/.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)))))) |
| 40.3% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)))))) | |
| 40.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) | |
| ✓ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| ▶ | 59.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
| 54.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ 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)))) | |
| ▶ | 55.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
| 55.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s)))) | |
| 53.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s)))) | |
| 37.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) #s(approx (- 2 (/ (+ (* (* x (/ x s)) -1/2) x) s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))) | |
| ▶ | 49.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
| 43.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) | |
| 43.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) | |
| 24.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) | |
| ✓ | 52.5% | (/.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)))) |
| 44.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) | |
| ▶ | 57.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
| ✓ | 44.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 44.6% | (/.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)))) | |
| 22.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) | |
| 49.8% | (/.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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))) | |
| 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 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) | |
| ✓ | 26.5% | #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)))) |
| ✓ | 29.5% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ▶ | 6.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
| ✓ | 34.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 1 464 to 1 032 computations (29.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 1 | (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) | |
| cost-diff | 1 | (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)) | |
| cost-diff | 2 | (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) | |
| cost-diff | 4 | (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) | |
| cost-diff | 0 | (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) | |
| cost-diff | 0 | #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) | |
| cost-diff | 1 | (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) | |
| cost-diff | 0 | #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) | |
| cost-diff | 0 | (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1/4 binary32) s) | |
| cost-diff | 0 | (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) | |
| cost-diff | 0 | (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (/ 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 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) | |
| cost-diff | 1 | (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 489 |
| 0 | 93 | 464 |
| 1 | 187 | 437 |
| 2 | 585 | 414 |
| 3 | 2746 | 414 |
| 0 | 8525 | 396 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (/ 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 2 binary32))) |
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)) |
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) |
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
#s(literal 1/2 binary32) |
(/.f32 x s) |
x |
s |
#s(literal 2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
s |
x |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) |
(/.f32 (/.f32 x s) s) |
(/.f32 x s) |
x |
s |
#s(literal 1/2 binary32) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) |
#s(literal 2 binary32) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) |
(fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) |
(/.f32 (*.f32 x x) s) |
(*.f32 x x) |
x |
s |
#s(literal -1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32))) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)) |
(/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) |
(fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) |
(*.f32 (neg.f32 s) #s(literal 1/2 binary32)) |
(neg.f32 s) |
s |
#s(literal 1/2 binary32) |
x |
(*.f32 s s) |
(/.f32 x (*.f32 s s)) |
#s(literal 2 binary32) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (/ 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 2 binary32))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))) |
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)) |
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) |
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x s)) |
(*.f32 (/.f32 x s) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(/.f32 x s) |
x |
s |
#s(literal 2 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(*.f32 #s(literal 1/4 binary32) (/.f32 x s)) |
(/.f32 #s(literal 1/4 binary32) s) |
#s(literal 1/4 binary32) |
s |
x |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) |
(/.f32 (/.f32 x s) s) |
(/.f32 x s) |
x |
s |
#s(literal 1/2 binary32) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) |
(fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) |
(/.f32 (*.f32 x x) s) |
(*.f32 (/.f32 x s) x) |
(*.f32 x x) |
x |
s |
#s(literal -1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32))) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)) |
(fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)) |
(/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) |
(-.f32 (*.f32 #s(literal 1/2 binary32) x) s) |
(fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) |
(*.f32 s (fma.f32 #s(literal -1/2 binary32) x s)) |
(*.f32 (neg.f32 s) #s(literal 1/2 binary32)) |
(*.f32 #s(literal -1/2 binary32) s) |
(neg.f32 s) |
s |
#s(literal 1/2 binary32) |
x |
(*.f32 s s) |
(/.f32 x (*.f32 s s)) |
(/.f32 (/.f32 x s) s) |
#s(literal 2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.1126022402792588 | (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)) | |
| accuracy | 2.575895156909127 | (/.f32 x (*.f32 s s)) | |
| accuracy | 3.6606905111574273 | (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) | |
| accuracy | 12.708363265488241 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32))) | |
| accuracy | 0.0546875 | (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) | |
| accuracy | 0.19790140044228388 | (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) | |
| accuracy | 3.4384304323171273 | (/.f32 (*.f32 x x) s) | |
| accuracy | 12.708363265488241 | #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))) | |
| accuracy | 0.1328125 | (/.f32 (/.f32 x s) s) | |
| accuracy | 1.1243209902792588 | (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) | |
| accuracy | 8.250307223077531 | #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) | |
| accuracy | 12.708363265488241 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) | |
| accuracy | 0.0 | (/.f32 #s(literal 1/4 binary32) s) | |
| accuracy | 0.14453125 | (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) | |
| accuracy | 8.397069044111971 | #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)) | |
| accuracy | 12.553184944525073 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) | |
| accuracy | 0.05078125 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) | |
| accuracy | 0.06640625 | (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) | |
| accuracy | 1.1243209902792588 | (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)) | |
| accuracy | 12.708363265488241 | #s(approx (+ 1 (/ 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 2 binary32))) |
| 68.0ms | 173× | 0 | valid |
| 27.0ms | 83× | 0 | exit |
Compiled 310 to 54 computations (82.6% saved)
ival-div: 28.0ms (39.8% of total)ival-mult: 23.0ms (32.7% of total)ival-add: 9.0ms (12.8% of total)ival-exp: 4.0ms (5.7% of total)ival-sub: 3.0ms (4.3% of total)ival-neg: 2.0ms (2.8% of total)exact: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
#s(approx (+ 1 (/ 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 2 binary32))) |
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) |
(/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) |
(fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)) |
(*.f32 (neg.f32 s) #s(literal 1/2 binary32)) |
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) |
(/.f32 (/.f32 x s) s) |
(/.f32 (*.f32 x x) s) |
(fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32))) |
(/.f32 x (*.f32 s s)) |
| Outputs |
|---|
#s(approx (- (* 1/2 (/ x s)) 1) #s(hole binary32 -1)) |
#s(approx (- (* 1/2 (/ x s)) 1) #s(hole binary32 (- (* 1/2 (/ x s)) 1))) |
#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 (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (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 (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (* (/ 1/4 s) x) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 2)) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ 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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* -1 s))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (+ (* -1 s) (* 1/2 x)))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (pow s 2))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (+ (* -1/2 (* s x)) (pow s 2)))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (/ x s) s) #s(hole binary32 (/ x (pow s 2)))) |
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 x)) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s)))))) |
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (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 (- (* 1/2 (/ 1 s)) (/ 1 x))))) |
#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 (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 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 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#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 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* 1/2 x))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* x (+ 1/2 (* -1 (/ s x)))))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* -1/2 (* s x)))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* x (+ (* -1/2 s) (/ (pow s 2) x))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s)))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s)))))) |
#s(approx (- (* 1/2 (/ x s)) 1) #s(hole binary32 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* -1 (* x (- (/ s x) 1/2))))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (pow s 2) x)) (* 1/2 s)))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (- (* 1/2 (/ x s)) 1) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) s))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2)))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* s (+ s (* -1/2 x))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (* (neg s) 1/2) #s(hole binary32 (* -1/2 s))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (/ (+ (* -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)))) (* -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 (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* s (- (* 1/2 (/ x s)) 1)))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* (pow s 2) (+ 1 (* -1/2 (/ x s)))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) 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 (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* -1 (* s (+ 1 (* -1/2 (/ x s))))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | inf | ((- (* 1/2 (/ x s)) 1) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ (+ (* (/ (* x x) s) -1/2) x) s) (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (+ (* (* (neg s) 1/2) x) (* s s)) (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (* (neg s) 1/2) (/ (- (* 1/2 (/ x s)) 1) s) (/ (/ x s) s) (/ (* x x) s) (+ (* (/ (* x x) s) -1/2) x) (+ 1 (exp (/ (neg x) s))) (/ x (* s s))) |
| 5.0ms | s | @ | -inf | ((- (* 1/2 (/ x s)) 1) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ (+ (* (/ (* x x) s) -1/2) x) s) (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (+ (* (* (neg s) 1/2) x) (* s s)) (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (* (neg s) 1/2) (/ (- (* 1/2 (/ x s)) 1) s) (/ (/ x s) s) (/ (* x x) s) (+ (* (/ (* x x) s) -1/2) x) (+ 1 (exp (/ (neg x) s))) (/ x (* s s))) |
| 5.0ms | x | @ | -inf | ((- (* 1/2 (/ x s)) 1) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ (+ (* (/ (* x x) s) -1/2) x) s) (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (+ (* (* (neg s) 1/2) x) (* s s)) (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (* (neg s) 1/2) (/ (- (* 1/2 (/ x s)) 1) s) (/ (/ x s) s) (/ (* x x) s) (+ (* (/ (* x x) s) -1/2) x) (+ 1 (exp (/ (neg x) s))) (/ x (* s s))) |
| 4.0ms | s | @ | 0 | ((- (* 1/2 (/ x s)) 1) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ (+ (* (/ (* x x) s) -1/2) x) s) (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (+ (* (* (neg s) 1/2) x) (* s s)) (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (* (neg s) 1/2) (/ (- (* 1/2 (/ x s)) 1) s) (/ (/ x s) s) (/ (* x x) s) (+ (* (/ (* x x) s) -1/2) x) (+ 1 (exp (/ (neg x) s))) (/ x (* s s))) |
| 4.0ms | x | @ | 0 | ((- (* 1/2 (/ x s)) 1) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (* (/ 1/4 s) x) (/ 1/4 s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/ 1 (+ 1 (/ 1 (exp (/ x s))))) (+ 1 (/ 1 (exp (/ x s)))) (/ (+ (* (/ (* x x) s) -1/2) x) s) (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (+ (* (* (neg s) 1/2) x) (* s s)) (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (* (neg s) 1/2) (/ (- (* 1/2 (/ x s)) 1) s) (/ (/ x s) s) (/ (* x x) s) (+ (* (/ (* x x) s) -1/2) x) (+ 1 (exp (/ (neg x) s))) (/ x (* s s))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 495 | 3520 |
| 1 | 1394 | 3128 |
| 2 | 5758 | 3124 |
| 0 | 8487 | 2945 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- (* 1/2 (/ x s)) 1) #s(hole binary32 -1)) |
#s(approx (- (* 1/2 (/ x s)) 1) #s(hole binary32 (- (* 1/2 (/ x s)) 1))) |
#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 (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (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 (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (* (/ 1/4 s) x) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 2)) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 2)) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ 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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* -1 s))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (+ (* -1 s) (* 1/2 x)))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (pow s 2))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (+ (* -1/2 (* s x)) (pow s 2)))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (/ x s) s) #s(hole binary32 (/ x (pow s 2)))) |
#s(approx (/ (* x x) s) #s(hole binary32 (/ (pow x 2) s))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 x)) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (* x (+ 1 (* -1/2 (/ x s)))))) |
#s(approx (/ x (* s s)) #s(hole binary32 (/ x (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 (- (* 1/2 (/ 1 s)) (/ 1 x))))) |
#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 (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 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 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (/ 1 (+ 1 (exp (* -1 (/ x s))))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 1 (exp (* -1 (/ x s)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#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 (* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* 1/2 x))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* x (+ 1/2 (* -1 (/ s x)))))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* -1/2 (* s x)))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* x (+ (* -1/2 s) (/ (pow s 2) x))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (* 1/2 (/ (pow x 2) (pow s 2))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (* 1/2 (/ x (pow s 2))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (* -1/2 (/ (pow x 2) s)))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (* (pow x 2) (- (/ 1 x) (* 1/2 (/ 1 s)))))) |
#s(approx (- (* 1/2 (/ x s)) 1) #s(hole binary32 (* -1 (* x (- (/ 1 x) (* 1/2 (/ 1 s))))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* -1 (* x (- (/ s x) 1/2))))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (pow s 2) x)) (* 1/2 s)))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))))) |
#s(approx (- (* 1/2 (/ x s)) 1) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) s))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (/ (+ (* 1/4 x) (* 1/2 s)) s))) |
#s(approx (/ 1/4 s) #s(hole binary32 (/ 1/4 s))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2)))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2)))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* s (+ s (* -1/2 x))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)))) |
#s(approx (* (neg s) 1/2) #s(hole binary32 (* -1/2 s))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (/ (+ (* -1 s) (* 1/2 x)) (pow s 2)))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (/ (+ (* -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)))) (* -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 (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(hole binary32 (- (+ 1/2 (* -1 (/ (+ (* -1/24 (pow x 3)) (+ (* 1/16 (pow x 3)) (* 1/2 (* x (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))))))) (pow s 3)))) (+ (* -1/4 (/ x s)) (+ (* -1/8 (/ (pow x 2) (pow s 2))) (* 1/8 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* s (- (* 1/2 (/ x s)) 1)))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* (pow s 2) (+ 1 (* -1/2 (/ x s)))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) 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 (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* -1 (* s (+ 1 (* -1/2 (/ x s))))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
| Outputs |
|---|
#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 (- (* 1/2 (/ x s)) 1))) |
#s(approx (- (* 1/2 (/ x s)) 1) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #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 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 (+.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 (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(literal 2 binary32)) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x 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 (+ 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 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 (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(literal 1/2 binary32)) |
#s(approx (+ (* (/ x s) 1/4) 1/2) #s(hole binary32 (+ 1/2 (* 1/4 (/ x s))))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
#s(approx (* (/ 1/4 s) x) #s(hole binary32 (* 1/4 (/ x s)))) |
#s(approx (* (/ 1/4 s) x) (*.f32 #s(literal 1/4 binary32) (/.f32 x s))) |
#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 (+.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 (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(literal 2 binary32)) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ (* (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ -1 s))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 2)) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(literal 2 binary32)) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) 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 (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ x s))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) (/.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 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* -1 s))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (+ (* -1 s) (* 1/2 x)))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (pow s 2))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) (*.f32 s s)) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (+ (* -1/2 (* s x)) (pow s 2)))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 2)) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(literal 2 binary32)) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (* -1 (/ x s))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 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 (/ x s)) 1) s) #s(hole binary32 (/ -1 s))) |
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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 (/ 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 (* -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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/2 binary32)) #s(literal -1/8 binary32) (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 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#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 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#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 (/ 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 (* -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 (/ 1 (exp (/ x s))))) (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32) (*.f32 #s(literal 0 binary32) x)) (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 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* s (- (* 1/2 (/ x s)) 1)))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) #s(hole binary32 (* (pow s 2) (+ 1 (* -1/2 (/ x s)))))) |
#s(approx (+ (* (* (neg s) 1/2) x) (* s s)) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) s)) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (/ (- (* 1/2 (/ x s)) 1) s))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s)) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) #s(hole binary32 (+ x (* -1/2 (/ (pow x 2) s))))) |
#s(approx (+ (* (/ (* x x) s) -1/2) x) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) x)) |
#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 #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 (/ 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 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/3 binary32)) #s(literal -1/4 binary32) (*.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 3 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 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#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 #s(literal -1/2 binary32) x) x)) s) #s(literal -1 binary32) x) s))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (/ (- (* 1/2 (/ x s)) 1) s) x) 2) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#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 #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 (/ 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 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) x) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) #s(hole binary32 (+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))))) |
#s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) #s(hole binary32 (* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)))) |
#s(approx (/ (+ (* (/ (* x x) s) -1/2) x) s) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) #s(hole binary32 (* -1 (* s (+ 1 (* -1/2 (/ x s))))))) |
#s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) #s(hole binary32 (+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))))) |
#s(approx (+ (* (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (/ x (* s s))) 2) (-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) #s(hole binary32 (* -1 (/ (+ 1 (* -1/2 (/ x s))) s)))) |
#s(approx (/ (- (* 1/2 (/ x s)) 1) s) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 411 |
| 0 | 91 | 407 |
| 1 | 361 | 376 |
| 0 | 2693 | 367 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
#s(approx (+ 1 (/ 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 2 binary32))) |
(fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(/.f32 #s(literal 1/4 binary32) s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)) |
#s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
#s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) |
(/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) |
(fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) |
(fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)) |
(*.f32 (neg.f32 s) #s(literal 1/2 binary32)) |
(/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) s) |
(/.f32 (/.f32 x s) s) |
(/.f32 (*.f32 x x) s) |
(fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32))) |
(/.f32 x (*.f32 s s)) |
| Outputs |
|---|
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32))) (neg.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)) (+.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (+.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) |
(-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal -1 binary32)) |
(fma.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32) #s(literal -1 binary32)) |
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) |
(fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) |
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(fma.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s) (*.f32 #s(literal 1 binary32) (*.f32 s s))) |
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s) (*.f32 (neg.f32 s) (*.f32 #s(literal -1 binary32) s))) |
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) (neg.f32 s) (*.f32 s s)) |
(fma.f32 s s (*.f32 (*.f32 s #s(literal -1/2 binary32)) x)) |
(fma.f32 x (*.f32 s #s(literal -1/2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 s s))) |
(fma.f32 x (*.f32 s #s(literal -1/2 binary32)) (*.f32 (neg.f32 s) (*.f32 #s(literal -1 binary32) s))) |
(fma.f32 x (*.f32 s #s(literal -1/2 binary32)) (*.f32 s s)) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 s) x) (*.f32 #s(literal 1 binary32) (*.f32 s s))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 s) x) (*.f32 (neg.f32 s) (*.f32 #s(literal -1 binary32) s))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 s) x) (*.f32 s s)) |
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 s #s(literal -1/2 binary32)) x) #s(literal 3 binary32)) (+.f32 (-.f32 (pow.f32 s #s(literal 4 binary32)) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) (pow.f32 (*.f32 (*.f32 s #s(literal -1/2 binary32)) x) #s(literal 2 binary32)))) (/.f32 (pow.f32 s #s(literal 6 binary32)) (+.f32 (-.f32 (pow.f32 s #s(literal 4 binary32)) (*.f32 (*.f32 x #s(literal 1/2 binary32)) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) (pow.f32 (*.f32 (*.f32 s #s(literal -1/2 binary32)) x) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (*.f32 s #s(literal -1/2 binary32)) x) (*.f32 #s(literal 1 binary32) (*.f32 s s))) |
(+.f32 (*.f32 (*.f32 s #s(literal -1/2 binary32)) x) (*.f32 (neg.f32 s) (*.f32 #s(literal -1 binary32) s))) |
(+.f32 (*.f32 (*.f32 s #s(literal -1/2 binary32)) x) (*.f32 s s)) |
(+.f32 (*.f32 s s) (*.f32 (*.f32 s #s(literal -1/2 binary32)) x)) |
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))) |
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) #s(literal 2 binary32)) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)))) |
(-.f32 #s(literal 2 binary32) (*.f32 (/.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) s) (/.f32 (/.f32 x s) s))) |
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (/.f32 (/.f32 x s) s)) (/.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (neg.f32 s)))) |
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (neg.f32 s))) (/.f32 (/.f32 x s) s))) |
(fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (fabs.f32 s)) (/.f32 x (fabs.f32 s)) #s(literal 2 binary32)) |
(fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) s) (/.f32 x s) #s(literal 2 binary32)) |
(fma.f32 (/.f32 (/.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) s) s) (/.f32 (neg.f32 x) s) #s(literal 2 binary32)) |
(fma.f32 (/.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) s) (/.f32 x (*.f32 (neg.f32 s) s)) #s(literal 2 binary32)) |
(fma.f32 (/.f32 (/.f32 x s) s) (/.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) #s(literal 2 binary32)) |
(fma.f32 (/.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 (/.f32 x s) s) #s(literal 2 binary32)) |
(fma.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (/.f32 (/.f32 (/.f32 x s) s) (neg.f32 s)) #s(literal 2 binary32)) |
(fma.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)) |
(+.f32 (fma.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)))) (/.f32 #s(literal 8 binary32) (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) (pow.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))))) |
(+.f32 (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32)) |
(+.f32 #s(literal 2 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32)))) |
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) x) (pow.f32 (neg.f32 s) #s(literal 3 binary32))))) |
(*.f32 (neg.f32 s) #s(literal 1/2 binary32)) |
(*.f32 s #s(literal -1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (neg.f32 s)) |
(neg.f32 (*.f32 s #s(literal 1/2 binary32))) |
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) 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))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) s) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 1 binary32) s) (*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)))) s) |
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) s) (*.f32 s #s(literal 1 binary32))) (*.f32 s s)) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) s)) |
(/.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal -1 binary32)) (*.f32 (+.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal 1 binary32)) (pow.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 2 binary32))) s)) |
(/.f32 (neg.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) (neg.f32 s)) |
(/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) s) |
(-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32))) s)) |
(neg.f32 (/.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (neg.f32 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) s) |
(/.f32 x (*.f32 s s)) |
(neg.f32 (/.f32 (/.f32 (neg.f32 x) s) s)) |
(neg.f32 (/.f32 (neg.f32 x) (*.f32 s s))) |
(neg.f32 (/.f32 (/.f32 x s) (neg.f32 s))) |
(neg.f32 (/.f32 x (*.f32 (neg.f32 s) s))) |
(*.f32 (fabs.f32 x) (/.f32 (fabs.f32 x) s)) |
(*.f32 (neg.f32 x) (/.f32 (neg.f32 x) s)) |
(*.f32 (/.f32 x s) x) |
(*.f32 x (/.f32 x s)) |
(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) |
(/.f32 (*.f32 x x) s) |
(neg.f32 (/.f32 (*.f32 (neg.f32 x) x) s)) |
(neg.f32 (/.f32 (*.f32 x x) (neg.f32 s))) |
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32))) (-.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (/.f32 x s) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x))) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)) (*.f32 x x)) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x)) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (/.f32 x s) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x)))) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (/.f32 x s) x) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x (-.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x))) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x))) |
(-.f32 x (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x s) x))) |
(-.f32 x (*.f32 (neg.f32 (*.f32 (/.f32 x s) x)) #s(literal -1/2 binary32))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) x) (/.f32 x s) x) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) |
(fma.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32) x) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal -1/2 binary32) s) x) |
(fma.f32 x (*.f32 (/.f32 x s) #s(literal -1/2 binary32)) x) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x))) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x))) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32))))) |
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x) |
(+.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (/.f32 x (pow.f32 (neg.f32 s) #s(literal 3 binary32))) #s(literal 2 binary32))) |
(/.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) s) |
(/.f32 x (*.f32 s s)) |
(neg.f32 (/.f32 (/.f32 (neg.f32 x) s) s)) |
(neg.f32 (/.f32 (neg.f32 x) (*.f32 s s))) |
(neg.f32 (/.f32 (/.f32 x s) (neg.f32 s))) |
(neg.f32 (/.f32 x (*.f32 (neg.f32 s) s))) |
Compiled 13 235 to 1 853 computations (86% saved)
32 alts after pruning (22 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 358 | 12 | 370 |
| Fresh | 6 | 10 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 8 | 9 |
| Total | 368 | 32 | 400 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| 57.7% | (/.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 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) x) s) #s(literal 1/2 binary32)) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| 57.4% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) (fma.f32 (fma.f32 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)))))) | |
| ✓ | 62.7% | (/.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)))))) |
| ✓ | 61.4% | (/.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)))))) |
| 40.3% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)))))) | |
| 40.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (exp (/ x s)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) | |
| ✓ | 99.9% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 55.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) | |
| 59.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) | |
| 44.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) | |
| 54.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ 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)))) | |
| 54.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s)) (/.f32 x s)))) | |
| ✓ | 55.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
| 54.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 s x)) s)) s)))) | |
| 53.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) x)) s)))) | |
| 51.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (/.f32 (/.f32 (/.f32 x s) s) (neg.f32 s)) #s(literal 2 binary32)))) | |
| 43.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) | |
| 24.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) | |
| 53.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) | |
| 54.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) | |
| 54.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) | |
| 51.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) | |
| ✓ | 44.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 44.6% | (/.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)))) | |
| 22.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (neg.f32 x) s)))) | |
| 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 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) | |
| ✓ | 26.5% | #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)))) |
| ✓ | 29.5% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ✓ | 6.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
| 29.4% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) | |
| ✓ | 34.9% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 2 242 to 949 computations (57.7% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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 (/ 1 (exp (/ x s)))) #s(approx (- 2 (/ (+ (* (* 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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 s x)) s)) 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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) (/.f32 x (*.f32 s s)) #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 (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.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 (/.f32 #s(literal 1/2 binary32) s) x) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 (/ 1 (exp (/ x s)))) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s)) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s 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) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (/.f32 (/.f32 (/.f32 x s) s) (neg.f32 s)) #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 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.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 (+.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 (/ 1 (exp (/ 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 (fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) 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)))) |
#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)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
7 calls:
| 31.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 17.0ms | x |
| 13.0ms | s |
| 12.0ms | (neg.f32 x) |
| 11.0ms | (/.f32 (neg.f32 x) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | (neg.f32 x) |
| 99.9% | 1 | (/.f32 (neg.f32 x) s) |
| 99.9% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 99.9% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 99.9% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.9% | 1 | x |
| 99.9% | 1 | s |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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 (/ 1 (exp (/ x s)))) #s(approx (- 2 (/ (+ (* (* 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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 s x)) s)) 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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) (/.f32 x (*.f32 s s)) #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 (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.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 (/.f32 #s(literal 1/2 binary32) s) x) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 (/ 1 (exp (/ x s)))) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s)) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s 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) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (/.f32 (/.f32 (/.f32 x s) s) (neg.f32 s)) #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 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.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 (+.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 (/ 1 (exp (/ 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 (fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/6 binary32) 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:
| 16.0ms | s |
| 15.0ms | (/.f32 (neg.f32 x) s) |
| 11.0ms | x |
| 11.0ms | (neg.f32 x) |
| 11.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.1% | 2 | (neg.f32 x) |
| 95.1% | 2 | (/.f32 (neg.f32 x) s) |
| 95.1% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 95.1% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 95.1% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 94.1% | 2 | x |
| 62.7% | 1 | s |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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 (/ 1 (exp (/ x s)))) #s(approx (- 2 (/ (+ (* (* 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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 s x)) s)) 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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) (/.f32 x (*.f32 s s)) #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 (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.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 (/.f32 #s(literal 1/2 binary32) s) x) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #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 (/ 1 (exp (/ x s)))) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s)) (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 s) #s(literal 1/2 binary32)) x (*.f32 s s)) (neg.f32 s)) (/.f32 x (*.f32 s 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) x) (neg.f32 s)) (*.f32 (*.f32 s s) #s(literal -1 binary32))) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (fma.f32 (*.f32 s #s(literal -1/2 binary32)) x (*.f32 s s)) (/.f32 (/.f32 (/.f32 x s) s) (neg.f32 s)) #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 x (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.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 #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)))))) |
6 calls:
| 13.0ms | (neg.f32 x) |
| 13.0ms | x |
| 11.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 11.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 10.0ms | (/.f32 (neg.f32 x) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.6% | 2 | (neg.f32 x) |
| 92.6% | 2 | x |
| 92.9% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 92.9% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 92.9% | 2 | (/.f32 (neg.f32 x) s) |
| 92.9% | 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 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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 (/ 1 (exp (/ x s)))) #s(approx (- 2 (/ (+ (* (* 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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 s x)) s)) 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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) (/.f32 x (*.f32 s s)) #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 (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.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 (/.f32 #s(literal 1/2 binary32) s) x) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x)))))) |
6 calls:
| 10.0ms | (/.f32 (neg.f32 x) s) |
| 9.0ms | (neg.f32 x) |
| 9.0ms | x |
| 9.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 7.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.8% | 2 | (neg.f32 x) |
| 91.8% | 2 | x |
| 92.5% | 2 | (/.f32 (neg.f32 x) s) |
| 92.5% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 92.5% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 92.5% | 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 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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 (/ 1 (exp (/ x s)))) #s(approx (- 2 (/ (+ (* (* 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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 s x)) s)) 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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) (/.f32 x (*.f32 s s)) #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 (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.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 (/.f32 #s(literal 1/2 binary32) s) x) 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 (/.f32 #s(literal 1/2 binary32) s) x) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
4 calls:
| 45.0ms | (/.f32 (neg.f32 x) s) |
| 7.0ms | (exp.f32 (/.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 |
|---|---|---|
| 92.5% | 2 | (/.f32 (neg.f32 x) s) |
| 92.5% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 92.5% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 92.5% | 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 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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 (/ 1 (exp (/ x s)))) #s(approx (- 2 (/ (+ (* (* 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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 s x)) s)) 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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) (/.f32 x (*.f32 s s)) #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 (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))))))) |
4 calls:
| 12.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 8.0ms | (/.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 |
|---|---|---|
| 92.5% | 2 | (/.f32 (neg.f32 x) s) |
| 92.5% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 92.5% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 92.5% | 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 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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 (/ 1 (exp (/ x s)))) #s(approx (- 2 (/ (+ (* (* 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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) s) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (fma.f32 (/.f32 x s) #s(literal 1/2 binary32) #s(literal -1 binary32)) (/.f32 x s) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (* x (/ x s)) -1/2) x) (*.f32 (*.f32 (/.f32 x s) x) #s(literal -1/2 binary32))) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 x s) (*.f32 x #s(literal -1/2 binary32)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 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 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 (fma.f32 #s(literal -1/2 binary32) x s) s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 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 (/ 1 (exp (/ x s)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(approx (+ (* (/ (* x x) s) -1/2) x) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 s x)) s)) 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 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) 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)) (+.f32 (/.f32 x s) #s(literal 1 binary32)))))) |
4 calls:
| 9.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 8.0ms | (/.f32 (neg.f32 x) s) |
| 6.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 6.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.0% | 2 | (/.f32 (neg.f32 x) s) |
| 92.0% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 92.0% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 92.0% | 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 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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 (/ 1 (exp (/ x s)))) #s(approx (- 2 (/ (+ (* (* 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 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 #s(approx (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (*.f32 s s)) (*.f32 (*.f32 s s) (neg.f32 s))) x #s(literal 2 binary32)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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)))))) |
6 calls:
| 6.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 5.0ms | (neg.f32 x) |
| 5.0ms | x |
| 5.0ms | (/.f32 (neg.f32 x) s) |
| 4.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.6% | 2 | (neg.f32 x) |
| 91.6% | 2 | x |
| 91.8% | 2 | (/.f32 (neg.f32 x) s) |
| 91.8% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 91.8% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 91.8% | 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 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
4 calls:
| 11.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 3.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 3.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.7% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 91.7% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 91.7% | 2 | (/.f32 (neg.f32 x) s) |
| 91.7% | 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 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32)))) |
7 calls:
| 4.0ms | s |
| 4.0ms | (neg.f32 x) |
| 3.0ms | x |
| 3.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 1 | s |
| 64.9% | 2 | (neg.f32 x) |
| 64.9% | 2 | x |
| 65.1% | 2 | (/.f32 (neg.f32 x) s) |
| 65.1% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 65.1% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 65.1% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #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 (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32)))) |
6 calls:
| 37.0ms | (neg.f32 x) |
| 3.0ms | x |
| 3.0ms | (/.f32 (neg.f32 x) s) |
| 3.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 3.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 2 | x |
| 63.1% | 2 | (neg.f32 x) |
| 63.0% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 63.0% | 2 | (/.f32 (neg.f32 x) s) |
| 63.0% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 63.0% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 28 to 29 computations (-3.6% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 #s(approx (- (* 1/2 (/ x s)) 1) #s(literal -1 binary32)) s) x #s(literal 2 binary32)))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 #s(literal -1 binary32) s)) x #s(literal 2 binary32)))) |
7 calls:
| 3.0ms | s |
| 3.0ms | x |
| 3.0ms | (neg.f32 x) |
| 3.0ms | (/.f32 (neg.f32 x) s) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.6% | 1 | s |
| 53.0% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 53.0% | 2 | (/.f32 (neg.f32 x) s) |
| 53.0% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 53.0% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 52.8% | 2 | x |
| 52.8% | 2 | (neg.f32 x) |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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)))) |
| 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:
| 25.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.0% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 53.0% | 2 | (/.f32 (neg.f32 x) s) |
| 53.0% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 53.0% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 25 to 24 computations (4% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 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:
| 2.0ms | (neg.f32 x) |
| 2.0ms | x |
| 2.0ms | (/.f32 (neg.f32 x) s) |
| 1.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 1.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 2 | x |
| 51.2% | 2 | (neg.f32 x) |
| 51.3% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 51.3% | 2 | (/.f32 (neg.f32 x) s) |
| 51.3% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 51.3% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 28 to 29 computations (-3.6% saved)
Total -9.0b remaining (-43%)
Threshold costs -9b (-43%)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
7 calls:
| 5.0ms | x |
| 2.0ms | s |
| 1.0ms | (neg.f32 x) |
| 1.0ms | (/.f32 (neg.f32 x) s) |
| 1.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.9% | 1 | s |
| 34.9% | 1 | x |
| 34.9% | 1 | (neg.f32 x) |
| 34.9% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 34.9% | 1 | (/.f32 (neg.f32 x) s) |
| 34.9% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 34.9% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
Compiled 29 to 31 computations (-6.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.493252158164978 | 0.495428204536438 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0024230913259088993 | 0.025521736592054367 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5832483172416687 | 0.9700722694396973 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5832483172416687 | 0.9700722694396973 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5832483172416687 | 0.9700722694396973 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.5832483172416687 | 0.9700722694396973 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.493252158164978 | 0.495428204536438 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 39.18228530883789 | 412.6959533691406 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 39.18228530883789 | 412.6959533691406 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.9405233541043893e-31 | 5.669184029298275e-31 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0308510065078735 | 1.7145355939865112 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0308510065078735 | 1.7145355939865112 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.399705410003662 | 39.18228530883789 |
Compiled 12 to 14 computations (-16.7% saved)
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 765 |
| 1 | 238 | 749 |
| 2 | 551 | 739 |
| 3 | 2183 | 727 |
| 4 | 7231 | 727 |
| 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 8589935/2147483648 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) (+.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 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) 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)) (+.f32 (/.f32 x s) #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 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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))))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.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 (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 50 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg s))) (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32))) x #s(literal 2 binary32))))) |
(if (<=.f32 (neg.f32 x) #s(literal 8507059/42535295865117307932921825928971026432 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 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 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 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 8589935/2147483648 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) (+.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 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) s) x))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) 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)) #s(approx (+ (* (/ (+ (* (/ 1/2 s) x) 1) s) x) 1) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))))) |
(if (<=.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (/ 1 (exp (/ x s)))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) 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)) (+.f32 (/.f32 x s) #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 5033165/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (fma.f32 x (/.f32 #s(literal 1/2 binary32) 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)) (+.f32 (/.f32 x s) #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 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (-.f32 (*.f32 #s(literal 1/2 binary32) x) s)) (/.f32 x (*.f32 s s)) #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))))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.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 (/ (- (* (* 1/2 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 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 (- (* (/ 1/2 (* 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 50 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 x) (neg s)) (* (* s s) -1)) (* (* s s) (neg 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 50 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 (neg.f32 x) #s(literal 8507059/42535295865117307932921825928971026432 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (/ (+ (* (* (neg s) 1/2) x) (* s s)) (neg s)) (neg.f32 s)) (/.f32 x (*.f32 s s)) #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 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 #s(literal -1 binary32) s)) x #s(literal 2 binary32))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 3/2 binary32)) #s(approx (/ 1 (+ 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 749 to 153 computations (79.6% saved)
Compiled 1 516 to 322 computations (78.8% saved)
Loading profile data...