
Time bar (total: 6.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 0 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 1 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 2 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 3 |
| 0% | 0% | 24.7% | 75.3% | 0% | 0% | 0% | 4 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 5 |
| 50% | 12.4% | 12.4% | 75.3% | 0% | 0% | 0% | 6 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 7 |
| 75% | 18.5% | 6.2% | 75.3% | 0% | 0% | 0% | 8 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 9 |
| 87.5% | 21.6% | 3.1% | 75.3% | 0% | 0% | 0% | 10 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 11 |
| 93.7% | 23.2% | 1.5% | 75.3% | 0% | 0% | 0% | 12 |
Compiled 17 to 14 computations (17.6% saved)
| 851.0ms | 8 256× | 0 | valid |
ival-div: 160.0ms (26.2% of total)const: 130.0ms (21.3% of total)ival-<=: 127.0ms (20.8% of total)ival-exp: 69.0ms (11.3% of total)ival-add: 48.0ms (7.9% of total)ival-neg: 48.0ms (7.9% of total)ival-and: 12.0ms (2% of total)exact: 10.0ms (1.6% of total)adjust: 3.0ms (0.5% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 5 | (3.6889477475314514e-13 5.378285991172423e-16) | 1 | (-1.3243525336377637e-27 2.4470089482875388e-29) | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 0 | 0 | - | 0 | - | s |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 0 | 0 | - | 0 | - | (neg.f32 x) |
| 0 | 0 | - | 0 | - | (/.f32 (neg.f32 x) s) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f32 | (exp.f32 (/.f32 (neg.f32 x) s)) | sensitivity | 5 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 1 |
| - | 5 | 250 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 1 | 0 |
| - | 5 | 0 | 250 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 512× | 0 | valid |
Compiled 73 to 28 computations (61.6% saved)
ival-exp: 10.0ms (43.4% of total)ival-div: 7.0ms (30.4% of total)ival-neg: 3.0ms (13% of total)ival-add: 2.0ms (8.7% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 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 |
|---|---|---|
| ▶ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
Compiled 9 to 8 computations (11.1% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (neg.f32 x) s) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 30 |
| 0 | 13 | 30 |
| 1 | 21 | 30 |
| 2 | 43 | 30 |
| 3 | 118 | 30 |
| 4 | 427 | 30 |
| 5 | 4713 | 30 |
| 0 | 8515 | 30 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
#s(literal 1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (neg.f32 x) | |
| accuracy | 0.0234375 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) | |
| accuracy | 0.0395775662523781 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| accuracy | 0.04296875 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 14.0ms | 256× | 0 | valid |
Compiled 32 to 10 computations (68.8% saved)
ival-div: 3.0ms (36.3% of total)ival-exp: 2.0ms (24.2% of total)ival-add: 1.0ms (12.1% of total)ival-neg: 1.0ms (12.1% 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 |
|---|
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(* -1 (/ x s)) |
(* -1 x) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 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)))))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 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))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 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)) |
| 1.0ms | 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 | 140 | 377 |
| 1 | 435 | 345 |
| 2 | 1799 | 341 |
| 0 | 9323 | 313 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(* -1 (/ x s)) |
(* -1 x) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(+ 1 (exp (* -1 (/ x s)))) |
(exp (* -1 (/ x s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 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)))))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 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))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 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))) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 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)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 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)) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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)) |
(* -1 (/ x s)) |
(/.f32 (neg.f32 x) s) |
(* -1 x) |
(neg.f32 x) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 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)))))) |
(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))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 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))) |
(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))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) 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 1 143 to 253 computations (77.9% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 10 | 67 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 57 | 11 | 68 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.1% | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
| 20.6% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))))))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 55.9% | (/.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)))) | |
| ▶ | 52.0% | (/.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)))) |
| 48.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) | |
| ▶ | 34.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 43.4% | (*.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)))) | |
| ▶ | 99.9% | (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
| 24.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| ▶ | 30.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 429 to 298 computations (30.5% saved)
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (cosh.f32 (/.f32 x s)) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) | |
| cost-diff | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))) | |
| cost-diff | 5 | (+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) | |
| cost-diff | 0 | (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) | |
| cost-diff | 0 | (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) | |
| cost-diff | 0 | (/.f32 x s) | |
| cost-diff | 0 | (-.f32 #s(literal 2 binary32) (/.f32 x s)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| cost-diff | 0 | (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) | |
| cost-diff | 0 | (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) | |
| cost-diff | 1 | (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 236 |
| 0 | 58 | 231 |
| 1 | 96 | 222 |
| 2 | 209 | 222 |
| 3 | 519 | 222 |
| 4 | 2769 | 222 |
| 0 | 8340 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
#s(literal 2 binary32) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(/.f32 #s(literal 1/2 binary32) (*.f32 s s)) |
#s(literal 1/2 binary32) |
(*.f32 s s) |
s |
x |
(/.f32 #s(literal 1 binary32) s) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.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 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) |
(cosh.f32 (/.f32 x s)) |
(/.f32 x s) |
x |
s |
(sinh.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
| Outputs |
|---|
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
#s(literal 2 binary32) |
(/.f32 x s) |
x |
s |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(/.f32 #s(literal 1/2 binary32) (*.f32 s s)) |
#s(literal 1/2 binary32) |
(*.f32 s s) |
s |
x |
(/.f32 #s(literal 1 binary32) s) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(exp.f32 (neg.f32 (log1p.f32 (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 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) |
(-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(cosh.f32 (/.f32 x s)) |
(/.f32 x s) |
x |
s |
(sinh.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04168916149207616 | (cosh.f32 (/.f32 x s)) | |
| accuracy | 0.04296875 | (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))) | |
| accuracy | 0.0512963162523781 | (sinh.f32 (/.f32 (neg.f32 x) s)) | |
| accuracy | 0.6332640062262176 | (+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) | |
| accuracy | 0.0703125 | (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) | |
| accuracy | 0.3875038390472143 | (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 | 2.8819862541959202 | #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 | 2.8843397004185016 | (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) | |
| accuracy | 0.0 | (/.f32 x s) | |
| accuracy | 0.017910009768442016 | (-.f32 #s(literal 2 binary32) (/.f32 x s)) | |
| accuracy | 0.04296875 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| accuracy | 3.183727534923485 | #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) | |
| accuracy | 3.424210776811817 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) | |
| accuracy | 0.0 | (neg.f32 x) | |
| accuracy | 0.023258579337448734 | (exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) | |
| accuracy | 0.0395775662523781 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| accuracy | 1.6389045079204678 | (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
| 420.0ms | 100× | 5 | exit |
| 61.0ms | 69× | 0 | valid |
| 17.0ms | 82× | 0 | exit |
| 3.0ms | 5× | 1 | valid |
Compiled 201 to 30 computations (85.1% saved)
ival-sinh: 222.0ms (47.4% of total)ival-cosh: 73.0ms (15.6% of total)ival-div: 63.0ms (13.5% of total)adjust: 45.0ms (9.6% of total)ival-log1p: 20.0ms (4.3% of total)ival-exp: 17.0ms (3.6% of total)ival-mult: 11.0ms (2.3% of total)ival-add: 10.0ms (2.1% of total)ival-sub: 5.0ms (1.1% of total)ival-neg: 2.0ms (0.4% of total)exact: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) |
(cosh.f32 (/.f32 x s)) |
(neg.f32 x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(sinh.f32 (/.f32 (neg.f32 x) s)) |
| Outputs |
|---|
(* -1 (log 2)) |
(+ (* -1 (log 2)) (* 1/2 (/ x s))) |
(+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))) |
(+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(log 2) |
(+ (log 2) (* -1/2 (/ x s))) |
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))) |
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(/ x s) |
(/ -1 s) |
(- (* 1/2 (/ x (pow s 2))) (/ 1 s)) |
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) |
(+ 2 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2)))))) |
(+ 2 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2)))))) |
(+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) |
(+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2)))))) |
(* -1 x) |
(* 1/2 (/ x (pow s 2))) |
(* -1 (/ x s)) |
(* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))) |
(* x (- (* (pow x 2) (- (* -1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s))) |
(* -1 (log (+ 1 (exp (* -1 (/ x s)))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(log (+ 1 (exp (* -1 (/ x s))))) |
(exp (* -1 (/ x s))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* x (- (* 2 (/ 1 x)) (/ 1 s))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))) |
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(+ 1 (+ (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) (* 1/2 (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s)))))))) |
(/ 1 (+ 1 (+ (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) (* 1/2 (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))))))) |
(+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) |
(* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) |
(* 1/2 (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s)))))) |
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))) |
(/ (- (* 2 s) x) s) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) |
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2)) |
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s)))) |
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s))))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 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)))))) |
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))) |
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(/ (- (* 1/2 (/ x s)) 1) s) |
(+ 2 (* 1/2 (/ (- (* -1 x) x) s))) |
(+ 2 (+ (* 1/2 (/ (- (* -1 x) x) s)) (+ (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))))) (pow s 2)))) (* 1/8 (/ (- (* -1 x) x) s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))))) (- (* -1 x) x))) (+ (* -1/16 (* (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (- (* -1 x) x))) (* 1/4 (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2))))))))))) (pow s 3)))) (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) (pow s 2))) (+ (* 1/8 (/ (- (* -1 x) x) s)) (* 1/4 (/ (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (pow s 2)))))) |
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(* 1/2 (/ (- (* -1 x) x) s)) |
(/ (+ (* 1/2 (- (* -1 x) x)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s) |
(/ (+ (* 1/2 (- (* -1 x) x)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s) |
(/ (+ (* 1/2 (- (* -1 x) x)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) (pow s 2))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s) |
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s))) |
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 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))) |
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))) |
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s)) |
(+ 2 (* -1/2 (/ (- x (* -1 x)) s))) |
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) s)) (* 1/2 (- x (* -1 x)))) s))) |
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) s)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2)))) s)) (* 1/2 (- x (* -1 x)))) s))) |
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) s)) (* 1/4 (/ (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) s))) (* 1/8 (- x (* -1 x)))) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))))) (- x (* -1 x))) s)) (+ (* -1/16 (/ (* (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (- x (* -1 x))) s)) (* 1/4 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) s)))) (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2)))))) s)) (* 1/8 (- x (* -1 x)))) s))) |
(+ 2 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(* -1/2 (/ (- x (* -1 x)) s)) |
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- x (* -1 x)))) s)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- x (* -1 x)))) s)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) s)) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- x (* -1 x)))) s)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | x | @ | -inf | ((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg 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 (cosh (/ x s))) (sinh (/ (neg x) s))) (/ 1 (+ (+ 1 (cosh (/ x s))) (sinh (/ (neg x) s)))) (+ 1 (cosh (/ x s))) (cosh (/ x s)) (neg x) (* (/ 1/2 (* s s)) x) (sinh (/ (neg x) s))) |
| 35.0ms | x | @ | 0 | ((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg 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 (cosh (/ x s))) (sinh (/ (neg x) s))) (/ 1 (+ (+ 1 (cosh (/ x s))) (sinh (/ (neg x) s)))) (+ 1 (cosh (/ x s))) (cosh (/ x s)) (neg x) (* (/ 1/2 (* s s)) x) (sinh (/ (neg x) s))) |
| 32.0ms | x | @ | inf | ((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg 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 (cosh (/ x s))) (sinh (/ (neg x) s))) (/ 1 (+ (+ 1 (cosh (/ x s))) (sinh (/ (neg x) s)))) (+ 1 (cosh (/ x s))) (cosh (/ x s)) (neg x) (* (/ 1/2 (* s s)) x) (sinh (/ (neg x) s))) |
| 18.0ms | s | @ | 0 | ((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg 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 (cosh (/ x s))) (sinh (/ (neg x) s))) (/ 1 (+ (+ 1 (cosh (/ x s))) (sinh (/ (neg x) s)))) (+ 1 (cosh (/ x s))) (cosh (/ x s)) (neg x) (* (/ 1/2 (* s s)) x) (sinh (/ (neg x) s))) |
| 15.0ms | s | @ | -inf | ((* (log (+ 1 (exp (/ (neg x) s)))) -1) (exp (* (log (+ 1 (exp (/ (neg x) s)))) -1)) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg 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 (cosh (/ x s))) (sinh (/ (neg x) s))) (/ 1 (+ (+ 1 (cosh (/ x s))) (sinh (/ (neg x) s)))) (+ 1 (cosh (/ x s))) (cosh (/ x s)) (neg x) (* (/ 1/2 (* s s)) x) (sinh (/ (neg x) s))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 548 | 2689 |
| 1 | 1894 | 2052 |
| 0 | 9124 | 1896 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (log 2)) |
(+ (* -1 (log 2)) (* 1/2 (/ x s))) |
(+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))) |
(+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(log 2) |
(+ (log 2) (* -1/2 (/ x s))) |
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))) |
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(/ x s) |
(/ -1 s) |
(- (* 1/2 (/ x (pow s 2))) (/ 1 s)) |
(+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) |
(+ 2 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2)))))) |
(+ 2 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2)))))) |
(+ 1 (* 1/2 (/ (pow x 2) (pow s 2)))) |
(+ 1 (* (pow x 2) (+ (* 1/24 (/ (pow x 2) (pow s 4))) (* 1/2 (/ 1 (pow s 2)))))) |
(+ 1 (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (/ (pow x 2) (pow s 6))) (* 1/24 (/ 1 (pow s 4))))) (* 1/2 (/ 1 (pow s 2)))))) |
(* -1 x) |
(* 1/2 (/ x (pow s 2))) |
(* -1 (/ x s)) |
(* x (- (* -1/6 (/ (pow x 2) (pow s 3))) (/ 1 s))) |
(* x (- (* (pow x 2) (- (* -1/120 (/ (pow x 2) (pow s 5))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s))) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1/5040 (/ (pow x 2) (pow s 7))) (* 1/120 (/ 1 (pow s 5))))) (* 1/6 (/ 1 (pow s 3))))) (/ 1 s))) |
(* -1 (log (+ 1 (exp (* -1 (/ x s)))))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(log (+ 1 (exp (* -1 (/ x s))))) |
(exp (* -1 (/ x s))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* x (- (* 2 (/ 1 x)) (/ 1 s))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))) |
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(+ 1 (+ (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) (* 1/2 (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s)))))))) |
(/ 1 (+ 1 (+ (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) (* 1/2 (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s))))))))) |
(+ 1 (* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s)))))) |
(* 1/2 (+ (exp (/ x s)) (/ 1 (exp (/ x s))))) |
(* 1/2 (- (exp (* -1 (/ x s))) (/ 1 (exp (* -1 (/ x s)))))) |
(* -1 (* x (- (/ 1 s) (* 2 (/ 1 x))))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))) |
(/ (- (* 2 s) x) s) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) |
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2)) |
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (* 1/2 (/ x s)))) |
(+ (* -1 (log 2)) (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ x s))))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 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)))))) |
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))) |
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(/ (- (* 1/2 (/ x s)) 1) s) |
(+ 2 (* 1/2 (/ (- (* -1 x) x) s))) |
(+ 2 (+ (* 1/2 (/ (- (* -1 x) x) s)) (+ (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (+ (* 1/2 (/ (- (* -1 x) x) s)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) (pow s 3))) (+ (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) (pow s 2))) (* 1/2 (/ (pow x 2) (pow s 2)))))))) |
(+ 1/2 (* -1/8 (/ (- (* -1 x) x) s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))))) (pow s 2)))) (* 1/8 (/ (- (* -1 x) x) s))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/4 (* (+ (* -1/32 (pow (- (* -1 x) x) 2)) (* 1/4 (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))))) (- (* -1 x) x))) (+ (* -1/16 (* (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (- (* -1 x) x))) (* 1/4 (+ (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (* 1/2 (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2))))))))))) (pow s 3)))) (+ (* -1/32 (/ (pow (- (* -1 x) x) 2) (pow s 2))) (+ (* 1/8 (/ (- (* -1 x) x) s)) (* 1/4 (/ (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (pow s 2)))))) |
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))) (pow s 4))) (+ (* -1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(* 1/2 (/ (- (* -1 x) x) s)) |
(/ (+ (* 1/2 (- (* -1 x) x)) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))) s) |
(/ (+ (* 1/2 (- (* -1 x) x)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s) |
(/ (+ (* 1/2 (- (* -1 x) x)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) (pow s 2))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s) |
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s))) |
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 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))) |
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))) |
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s)) |
(+ 2 (* -1/2 (/ (- x (* -1 x)) s))) |
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) s)) (* 1/2 (- x (* -1 x)))) s))) |
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) s)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2)))) s)) (* 1/2 (- x (* -1 x)))) s))) |
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) s)) (* 1/4 (/ (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) s))) (* 1/8 (- x (* -1 x)))) s))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))))) (- x (* -1 x))) s)) (+ (* -1/16 (/ (* (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (- x (* -1 x))) s)) (* 1/4 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) s)))) (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2)))))) s)) (* 1/8 (- x (* -1 x)))) s))) |
(+ 2 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(* -1/2 (/ (- x (* -1 x)) s)) |
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- x (* -1 x)))) s)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- x (* -1 x)))) s)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) s)) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- x (* -1 x)))) s)) |
| Outputs |
|---|
(* -1 (log 2)) |
(neg.f32 (log.f32 #s(literal 2 binary32))) |
(+ (* -1 (log 2)) (* 1/2 (/ x s))) |
(fma.f32 (/.f32 x s) #s(literal 1/2 binary32) (neg.f32 (log.f32 #s(literal 2 binary32)))) |
(+ (* -1 (log 2)) (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))) |
(fma.f32 (fma.f32 (/.f32 x (*.f32 s s)) #s(literal -1/8 binary32) (/.f32 #s(literal 1/2 binary32) s)) x (neg.f32 (log.f32 #s(literal 2 binary32)))) |
(+ (* -1 (log 2)) (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal 1/192 binary32) (*.f32 x x)) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) x (/.f32 #s(literal 1/2 binary32) s)) x (neg.f32 (log.f32 #s(literal 2 binary32)))) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(fma.f32 (fma.f32 (/.f32 (*.f32 x x) (pow.f32 s #s(literal 3 binary32))) #s(literal -1/48 binary32) (/.f32 #s(literal 1/4 binary32) s)) x #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (/.f32 (*.f32 #s(literal 1/480 binary32) (*.f32 x x)) (pow.f32 s #s(literal 5 binary32))) (/.f32 #s(literal 1/48 binary32) (pow.f32 s #s(literal 3 binary32)))) (fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32))) |
(log 2) |
(log.f32 #s(literal 2 binary32)) |
(+ (log 2) (* -1/2 (/ x s))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (/.f32 x (*.f32 s s))) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/192 binary32) (/.f32 (*.f32 x x) (pow.f32 s #s(literal 4 binary32))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1/2 binary32) s)) x (log.f32 #s(literal 2 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (-.f32 (*.f32 (/.f32 x (*.f32 s s)) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 x (pow.f32 s #s(literal 3 binary32))) #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
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(/ (+ (* 1/2 (- (* -1 x) x)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) (pow s 2))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)))) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (-.f32 (neg.f32 x) x) (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)))) (*.f32 s s))) #s(literal 0 binary32)) s) |
(/ (+ (* 1/2 (- (* -1 x) x)) (+ (* 1/2 (/ (- (* -1/6 (pow x 3)) (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))) (pow s 2))) (+ (* 1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (+ (* 1/6 (pow x 4)) (* x (+ (* -1/2 (pow x 3)) (+ (* 1/6 (pow x 3)) (* x (+ (* -1/2 (pow x 2)) (pow x 2)))))))))) (pow s 3))) (* 1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s))))) s) |
(/.f32 (fma.f32 (-.f32 (neg.f32 x) x) #s(literal 1/2 binary32) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)))) (*.f32 s s)) (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/24 binary32) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32) (+.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)))))) (pow.f32 s #s(literal 3 binary32)))) #s(literal 0 binary32))) s) |
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 (neg.f32 (log.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) x (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) s)) s)) |
(+ (* -1 (log 2)) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s))) s)) (* -1/2 x)) s))) |
(-.f32 (neg.f32 (log.f32 #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) x (fma.f32 (*.f32 #s(literal 0 binary32) x) #s(literal -1/6 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) (*.f32 x x)) s))) s)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 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))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.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)) (*.f32 #s(literal 1/4 binary32) x)) s)) |
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/8 binary32) (*.f32 #s(literal 1/2 binary32) x)) s)) |
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))) |
(-.f32 (log.f32 #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (/.f32 (fma.f32 (*.f32 #s(literal 0 binary32) x) #s(literal 1/6 binary32) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))) s)) s)) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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)) |
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s)) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) |
(+ 2 (* -1/2 (/ (- x (* -1 x)) s))) |
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32) #s(literal 2 binary32)) |
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) s)) (* 1/2 (- x (* -1 x)))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))) s)) s)) |
(+ 2 (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) s)) (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2)))) s)) (* 1/2 (- x (* -1 x)))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal 0 binary32)) (/.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)))) #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) x)) (neg.f32 s))) (neg.f32 s))) s)) |
(+ 1/2 (* 1/8 (/ (- x (* -1 x)) s))) |
(fma.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal 1/8 binary32) #s(literal 1/2 binary32)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/32 (/ (pow (- x (* -1 x)) 2) s)) (* 1/4 (/ (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) s))) (* 1/8 (- x (* -1 x)))) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) #s(literal -1/32 binary32) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal 0 binary32))) s) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1/8 binary32))) s)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))))) (- x (* -1 x))) s)) (+ (* -1/16 (/ (* (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2))) (- x (* -1 x))) s)) (* 1/4 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) s)))) (+ (* -1/32 (pow (- x (* -1 x)) 2)) (* 1/4 (+ (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2)))) (* 1/2 (pow x 2)))))) s)) (* 1/8 (- x (* -1 x)))) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/4 binary32) (fma.f32 (pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) #s(literal -1/32 binary32) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal 0 binary32)))) (/.f32 (*.f32 #s(literal 2 binary32) x) s) (/.f32 (fma.f32 #s(literal 1/4 binary32) (fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)))) #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) x)) (*.f32 (*.f32 #s(literal -1/32 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))) (*.f32 #s(literal 2 binary32) x))) s)) (fma.f32 (pow.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 2 binary32)) #s(literal -1/32 binary32) (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal 0 binary32)))) (neg.f32 s)) (*.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1/8 binary32))) s)) |
(+ 2 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (/.f32 (*.f32 #s(literal 0 binary32) x) (pow.f32 s #s(literal 3 binary32)))) #s(literal 2 binary32)) |
(+ 2 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (/.f32 (neg.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/6 binary32) #s(literal 0 binary32)))) s) #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) x))) (pow.f32 s #s(literal 3 binary32)))) #s(literal -2 binary32)) |
(+ 1 (+ (* 1/2 (/ (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 x s) (/.f32 x s) (/.f32 (*.f32 #s(literal 0 binary32) x) (pow.f32 s #s(literal 3 binary32)))) #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) s))) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/6 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/6 binary32) #s(literal 0 binary32)))) s) #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) x)) (pow.f32 s #s(literal 3 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) #s(literal 1 binary32))) |
(* -1/2 (/ (- x (* -1 x)) s)) |
(*.f32 (/.f32 (*.f32 #s(literal 2 binary32) x) s) #s(literal -1/2 binary32)) |
(* -1 (/ (+ (* -1/2 (/ (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))) s)) (* 1/2 (- x (* -1 x)))) s)) |
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1/2 binary32) #s(literal 0 binary32)) (neg.f32 s)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- x (* -1 x)))) s)) |
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)))) s) #s(literal -1/2 binary32) #s(literal 0 binary32)) (neg.f32 s))) (neg.f32 s)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/24 (pow x 4)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/24 (pow x 4)) (* 1/6 (pow x 4)))))) s)) (* 1/2 (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1/2 (pow x 2)) (pow x 2)))) (+ (* -1/6 (pow x 3)) (* 1/2 (pow x 3))))))) s)) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1/2 (pow x 2)) (pow x 2))))) s)) (* 1/2 (- x (* -1 x)))) s)) |
(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) x) #s(literal 1/2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/24 binary32) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/6 binary32) #s(literal 0 binary32))) (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32)))) s) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/6 binary32)))))) (neg.f32 s)) #s(literal -1 binary32) #s(literal 0 binary32)) s)) (neg.f32 s)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 196 |
| 0 | 58 | 186 |
| 1 | 192 | 182 |
| 0 | 1365 | 182 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(/.f32 x s) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32))) |
(fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) |
(cosh.f32 (/.f32 x s)) |
(neg.f32 x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(sinh.f32 (/.f32 (neg.f32 x) s)) |
| Outputs |
|---|
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)) |
(neg.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 1 binary32))) |
(neg.f32 (*.f32 #s(literal 1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal 3 binary32)))) (fma.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32))) (pow.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(*.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) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(/.f32 (-.f32 (*.f32 (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (*.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) (-.f32 (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) |
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(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) #s(literal 3 binary32)) (pow.f32 s #s(literal -3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) s) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x (/.f32 #s(literal 1 binary32) s)) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) #s(literal 2 binary32)))) |
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(-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) |
(/.f32 (-.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (pow.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal 2 binary32))) (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (cosh.f32 (/.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 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (neg.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
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(/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))) (fma.f32 (cosh.f32 (/.f32 x s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) #s(literal 1 binary32)))) (*.f32 #s(literal 2 binary32) (fma.f32 (cosh.f32 (/.f32 x s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))) #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))))) (*.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32))) |
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(/.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 (pow.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) (/.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) |
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.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 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 2 binary32)))) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(fma.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32)) #s(literal 2 binary32)))) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(fma.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32)))) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(fma.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)))) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (+.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(fma.f32 #s(literal 1 binary32) (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)) |
(+.f32 (+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (cosh.f32 (/.f32 x s))) |
(+.f32 (/.f32 (pow.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal 3 binary32)) (fma.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32))) (pow.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (fma.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32))) (pow.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal 2 binary32))))) |
(+.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 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(+.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(+.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) (sinh.f32 (/.f32 (neg.f32 x) s))) |
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 #s(literal 1 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) |
(+.f32 (cosh.f32 (/.f32 x s)) (+.f32 (sinh.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)) |
(exp.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32)) (pow.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal 3 binary32)))) (fma.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32))) (pow.f32 (-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal 2 binary32)))) |
(*.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) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(/.f32 (-.f32 (*.f32 (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (*.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) (-.f32 (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (-.f32 (*.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (*.f32 (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))) |
(/.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))) |
(/.f32 #s(literal -1 binary32) (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(+.f32 (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(+.f32 (cosh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (sinh.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(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 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 (/.f32 x s) #s(literal 0 binary32)) #s(literal 2 binary32))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 (/.f32 (neg.f32 x) s) #s(literal 0 binary32)) #s(literal 2 binary32))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 x s)) #s(literal 2 binary32))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (cosh.f32 (/.f32 (+.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) (cosh.f32 (/.f32 (-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (cosh.f32 (/.f32 x s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 (cosh.f32 (/.f32 x s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)))) (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))))) |
(-.f32 (cosh.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (cosh.f32 (/.f32 x s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (/.f32 x s)) (-.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) #s(literal 1 binary32)))) |
(+.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) |
(*.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (cosh.f32 (/.f32 x s))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s)))) #s(literal 2 binary32)) |
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s)))) #s(literal -2 binary32)) |
(/.f32 (*.f32 #s(literal 2 binary32) (cosh.f32 (/.f32 x s))) #s(literal 2 binary32)) |
(+.f32 (/.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32))) |
(cosh.f32 (/.f32 x s)) |
(cosh.f32 (/.f32 (neg.f32 x) s)) |
(neg.f32 x) |
(*.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 (neg.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s)))) #s(literal -2 binary32)) |
(/.f32 (*.f32 #s(literal 2 binary32) (sinh.f32 (/.f32 (neg.f32 x) s))) #s(literal 2 binary32)) |
(-.f32 (/.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 2 binary32)) (/.f32 (exp.f32 (/.f32 x s)) #s(literal 2 binary32))) |
(neg.f32 (sinh.f32 (/.f32 x s))) |
(sinh.f32 (/.f32 (neg.f32 x) s)) |
Compiled 8 240 to 1 432 computations (82.6% saved)
22 alts after pruning (18 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 292 | 14 | 306 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 295 | 22 | 317 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 47.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) | |
| ▶ | 47.6% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
| 53.2% | (/.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)))) | |
| 55.9% | (/.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)))) | |
| ✓ | 52.0% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| 53.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) | |
| 51.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| ▶ | 53.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
| 34.5% | (/.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)))) | |
| 48.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) | |
| 48.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) | |
| ✓ | 34.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 34.5% | (/.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)))) | |
| 48.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) | |
| 34.7% | (/.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))))) | |
| ▶ | 31.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
| 43.4% | (*.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)))) | |
| 63.5% | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) | |
| ▶ | 99.9% | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
| ▶ | 24.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ✓ | 30.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 1 013 to 741 computations (26.9% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (*.f32 x x) s) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) | |
| cost-diff | 2 | (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))) | |
| cost-diff | 0 | (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) | |
| cost-diff | 1 | (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) | |
| cost-diff | 0 | (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) | |
| 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 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| cost-diff | 0 | (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) | |
| cost-diff | 0 | (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) | |
| cost-diff | 0 | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 400 |
| 0 | 71 | 400 |
| 1 | 123 | 399 |
| 2 | 292 | 399 |
| 3 | 846 | 393 |
| 4 | 3046 | 376 |
| 0 | 8191 | 364 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (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) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))) |
(*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)) |
(/.f32 (*.f32 x x) s) |
(*.f32 x x) |
x |
s |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
#s(literal -1/2 binary32) |
(/.f32 x s) |
x |
s |
(neg.f32 s) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(/.f32 (*.f32 x x) s) |
(*.f32 x x) |
x |
s |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
#s(literal 2 binary32) |
(/.f32 x s) |
| Outputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.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) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)) |
(*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(/.f32 (*.f32 x x) s) |
(*.f32 (/.f32 x s) x) |
(*.f32 x x) |
x |
s |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) x #s(literal 2 binary32)) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) |
#s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s)) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
#s(literal -1/2 binary32) |
(/.f32 x s) |
x |
s |
(neg.f32 s) |
#s(literal 2 binary32) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (/.f32 x s))))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (/.f32 x s)))) |
(fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (/.f32 x s))) |
(/.f32 (*.f32 x x) s) |
(*.f32 (/.f32 x s) x) |
(*.f32 x x) |
x |
s |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
#s(literal 2 binary32) |
(/.f32 x s) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) | |
| accuracy | 2.862295873340605 | (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))) | |
| accuracy | 2.9925473586822005 | (/.f32 (*.f32 x x) s) | |
| accuracy | 13.106919631652536 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) | |
| accuracy | 0.10546875 | (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) | |
| accuracy | 0.11161492022758693 | (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) | |
| accuracy | 1.8838898367082995 | (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) | |
| accuracy | 13.106919631652536 | #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) | |
| accuracy | 0.9968491446364908 | (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)) | |
| accuracy | 2.9925473586822005 | (/.f32 (*.f32 x x) s) | |
| accuracy | 6.709082070371504 | #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))) | |
| accuracy | 13.106919631652536 | #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))) | |
| accuracy | 0.0 | (/.f32 x s) | |
| accuracy | 0.1839654098207158 | (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) | |
| accuracy | 12.962392271998509 | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) | |
| accuracy | 0.0 | (neg.f32 x) | |
| accuracy | 0.023258579337448734 | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) | |
| accuracy | 0.0395775662523781 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| accuracy | 1.6389045079204678 | (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
| 131.0ms | 94× | 5 | exit |
| 69.0ms | 162× | 0 | valid |
Compiled 244 to 37 computations (84.8% saved)
adjust: 54.0ms (40.2% of total)ival-log1p: 19.0ms (14.1% of total)ival-div: 18.0ms (13.4% of total)ival-exp: 14.0ms (10.4% of total)ival-mult: 13.0ms (9.7% of total)ival-add: 8.0ms (6% of total)ival-neg: 5.0ms (3.7% of total)ival-sub: 3.0ms (2.2% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
#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) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))) |
(*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) |
(fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 (*.f32 x x) s) |
(neg.f32 x) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
| Outputs |
|---|
(exp (neg (log 2))) |
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))) |
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))) |
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))) |
(* -1 (log 2)) |
(- (* 1/2 (/ x s)) (log 2)) |
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)) |
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)) |
(log 2) |
(+ (log 2) (* -1/2 (/ x s))) |
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))) |
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(/ x s) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(/ -1 s) |
(- (* 1/2 (/ x (pow s 2))) (/ 1 s)) |
(/ (pow x 2) s) |
(* -1 x) |
(+ 1 (* -1/2 (/ x s))) |
(exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) |
(* -1 (log (+ 1 (exp (* -1 (/ x s)))))) |
(log (+ 1 (exp (* -1 (/ x s))))) |
(exp (* -1 (/ x s))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(* 1/4 (/ x s)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))) |
(* 1/2 (/ x (pow s 2))) |
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* -1/2 (/ x s)) |
(* x (- (/ 1 x) (* 1/2 (/ 1 s)))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))) |
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) |
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2)) |
(/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2)) |
(/ (+ s (* -1/2 x)) s) |
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)))) |
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3))))) |
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))) |
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))) |
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))) |
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 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)))))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(/ (- (* 1/2 (/ x s)) 1) s) |
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)) |
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))) |
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))) |
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2)) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2)) |
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))) |
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 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))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s)) |
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | s | @ | inf | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ (* x x) s) (/ 1/2 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ (* (/ (* x x) s) (/ 1/2 s)) (- 2 (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ (* x x) s) (neg x) (+ (* -1/2 (/ x s)) 1)) |
| 15.0ms | x | @ | inf | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ (* x x) s) (/ 1/2 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ (* (/ (* x x) s) (/ 1/2 s)) (- 2 (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ (* x x) s) (neg x) (+ (* -1/2 (/ x s)) 1)) |
| 10.0ms | x | @ | -inf | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ (* x x) s) (/ 1/2 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ (* (/ (* x x) s) (/ 1/2 s)) (- 2 (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ (* x x) s) (neg x) (+ (* -1/2 (/ x s)) 1)) |
| 9.0ms | s | @ | 0 | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ (* x x) s) (/ 1/2 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ (* (/ (* x x) s) (/ 1/2 s)) (- 2 (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ (* x x) s) (neg x) (+ (* -1/2 (/ x s)) 1)) |
| 3.0ms | x | @ | 0 | ((exp (neg (log (+ 1 (exp (/ (neg x) s)))))) (neg (log (+ 1 (exp (/ (neg x) s))))) (log (+ 1 (exp (/ (neg x) s)))) (exp (/ (neg x) s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ (* (/ x s) 1/4) 1/2) (/ x s) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ (* x x) s) (/ 1/2 s)) (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (+ (* (/ (* x x) s) (/ 1/2 s)) (- 2 (/ x s))) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (/ (* x x) s) (neg x) (+ (* -1/2 (/ x s)) 1)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 358 | 1397 |
| 1 | 1198 | 1044 |
| 2 | 5923 | 1010 |
| 0 | 8859 | 944 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(exp (neg (log 2))) |
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))) |
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))) |
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))) |
(* -1 (log 2)) |
(- (* 1/2 (/ x s)) (log 2)) |
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)) |
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)) |
(log 2) |
(+ (log 2) (* -1/2 (/ x s))) |
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))) |
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))) |
1 |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
(/ x s) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(/ -1 s) |
(- (* 1/2 (/ x (pow s 2))) (/ 1 s)) |
(/ (pow x 2) s) |
(* -1 x) |
(+ 1 (* -1/2 (/ x s))) |
(exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) |
(* -1 (log (+ 1 (exp (* -1 (/ x s)))))) |
(log (+ 1 (exp (* -1 (/ x s))))) |
(exp (* -1 (/ x s))) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(* 1/4 (/ x s)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))) |
(* 1/2 (/ x (pow s 2))) |
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* -1/2 (/ x s)) |
(* x (- (/ 1 x) (* 1/2 (/ 1 s)))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))) |
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))) |
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) |
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2)) |
(/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2)) |
(/ (+ s (* -1/2 x)) s) |
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)))) |
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3))))) |
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))) |
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))) |
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))) |
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 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)))))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(/ (- (* 1/2 (/ x s)) 1) s) |
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)) |
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))) |
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))) |
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2)) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2)) |
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))) |
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 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))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s)) |
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))) |
| Outputs |
|---|
(exp (neg (log 2))) |
#s(literal 1/2 binary32) |
(+ (exp (neg (log 2))) (* 1/2 (/ (* x (exp (neg (log 2)))) s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ (exp (neg (log 2))) (* x (+ (* -1/24 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 3))) (* 1/2 (/ (exp (neg (log 2))) s))))) |
(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))) |
(+ (exp (neg (log 2))) (* x (+ (* 1/2 (/ (exp (neg (log 2))) s)) (* (pow x 2) (+ (* -1/24 (/ (exp (neg (log 2))) (pow s 3))) (* 1/240 (/ (* (pow x 2) (exp (neg (log 2)))) (pow s 5)))))))) |
(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))) |
(* -1 (log 2)) |
(neg.f32 (log.f32 #s(literal 2 binary32))) |
(- (* 1/2 (/ x s)) (log 2)) |
(-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) (log.f32 #s(literal 2 binary32))) |
(- (* x (+ (* -1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s)))) (log 2)) |
(-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) x) s)) s) x) (log.f32 #s(literal 2 binary32))) |
(- (* x (+ (* x (- (* 1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s)))) (log 2)) |
(-.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) #s(literal 1/192 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 s s))) x (/.f32 #s(literal 1/2 binary32) s)) x) (log.f32 #s(literal 2 binary32))) |
(log 2) |
(log.f32 #s(literal 2 binary32)) |
(+ (log 2) (* -1/2 (/ x s))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (* x (- (* 1/8 (/ x (pow s 2))) (* 1/2 (/ 1 s))))) |
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (* x (- (* x (+ (* -1/192 (/ (pow x 2) (pow s 4))) (* 1/8 (/ 1 (pow s 2))))) (* 1/2 (/ 1 s))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/192 binary32) (*.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) (/.f32 #s(literal 1/8 binary32) (*.f32 s s))) x (/.f32 #s(literal -1/2 binary32) s)) x (log.f32 #s(literal 2 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 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))) |
(/ x s) |
(/.f32 x s) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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)) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)) |
(/ -1 s) |
(/.f32 #s(literal -1 binary32) s) |
(- (* 1/2 (/ x (pow s 2))) (/ 1 s)) |
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) |
(/ (pow x 2) s) |
(*.f32 x (/.f32 x s)) |
(* -1 x) |
(neg.f32 x) |
(+ 1 (* -1/2 (/ x s))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
(exp (neg (log (+ 1 (exp (* -1 (/ x s))))))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(* -1 (log (+ 1 (exp (* -1 (/ x s)))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log (+ 1 (exp (* -1 (/ x s))))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(* 1/4 (/ x s)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)) |
(* 1/2 (/ x (pow s 2))) |
(*.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) x) |
(* x (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) s) s) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) x) |
(* -1/2 (/ x s)) |
(*.f32 #s(literal -1/2 binary32) (/.f32 x s)) |
(* x (- (/ 1 x) (* 1/2 (/ 1 s)))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1/2 binary32) s)) x) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))) |
(*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x) |
(* -1 (* x (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2)))))) |
(*.f32 (neg.f32 x) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 (/.f32 #s(literal 1/2 binary32) s) s))) |
(* -1 (* x (- (* 1/2 (/ 1 s)) (/ 1 x)))) |
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 #s(literal 1 binary32) x))) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s x)) (*.f32 s s)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) |
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
(/ (+ (* -1 s) (* 1/2 x)) (pow s 2)) |
(/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) s) s) |
(/ (+ (* 1/2 (pow x 2)) (* s (- (* 2 s) x))) (pow s 2)) |
(fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 1 binary32) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32))) |
(/ (+ s (* -1/2 x)) s) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ (exp (neg (log 2))) (+ (* 1/2 (/ (* x (exp (neg (log 2)))) s)) (+ (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) (pow s 2)) (/ (* (exp (neg (log 2))) (+ (* -1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3))))) (* 1/48 (pow x 3))))) (pow s 3))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) (*.f32 (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/4 binary32)) #s(literal 1/4 binary32) (fma.f32 #s(literal 0 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32)))) (/.f32 #s(literal 1/2 binary32) (pow.f32 s #s(literal 3 binary32))))) |
(- (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))) (+ (log 2) (* -1/2 (/ x s)))) |
(-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) x) s)) s) x) (log.f32 #s(literal 2 binary32))) |
(- (* -1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))) |
(-.f32 (*.f32 #s(literal 0 binary32) x) (fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32)))) |
(+ (log 2) (+ (* -1/2 (/ x s)) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2))))) |
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (+ (* -1/2 (/ x s)) (+ (* 1/6 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/4 (pow x 3)) (* 3/4 (pow x 3)))) (pow s 3))) (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) (pow s 2)))))) |
(+.f32 (fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal 0 binary32) x)) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(-.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)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 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)))))) |
(fma.f32 (-.f32 (*.f32 #s(literal 0 binary32) x) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -1/48 binary32))) #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(/ (- (* 1/2 (/ x s)) 1) s) |
(/.f32 (-.f32 (*.f32 (/.f32 x s) #s(literal 1/2 binary32)) #s(literal 1 binary32)) s) |
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2)))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ (exp (neg (log 2))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (neg (log 2))) (+ (* -1/6 (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3))))) (+ (* -1/48 (pow x 3)) (* 1/4 (* x (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))))))) s)) (* (exp (neg (log 2))) (+ (* -1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2)))) (* 1/8 (pow x 2))))) s)) (* -1/2 (* x (exp (neg (log 2)))))) s))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 0 binary32) x (fma.f32 (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32)) #s(literal 1/4 binary32) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/48 binary32)))) #s(literal -1/2 binary32) #s(literal 0 binary32)) s) (neg.f32 s))) s)) |
(- (* -1 (/ (- (* 1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s)) (log 2)) |
(-.f32 (*.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal -1/8 binary32) x) s)) s) x) (log.f32 #s(literal 2 binary32))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s)) (log 2)) |
(-.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) x (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/8 binary32) (*.f32 #s(literal 0 binary32) x))) s) (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (* -1 (/ (+ (* -1/2 (/ (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))) s)) (* 1/2 x)) s))) |
(fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -3/4 (pow x 3)) (+ (* 1/4 (pow x 3)) (* 1/2 (pow x 3)))) s)) (* 1/2 (+ (* -1/4 (pow x 2)) (* 1/2 (pow x 2))))) s)) (* 1/2 x)) s))) |
(+.f32 (fma.f32 (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 #s(literal 1/8 binary32) x) s)) s) x (log.f32 #s(literal 2 binary32))) (*.f32 #s(literal 0 binary32) x)) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 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))) |
(-.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)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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)) |
(* -1 (/ (+ 1 (* -1/2 (/ x s))) s)) |
(/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s) |
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 325 |
| 0 | 71 | 325 |
| 1 | 251 | 324 |
| 0 | 1911 | 321 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
#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) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))) |
(*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s)) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32))) |
(fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)) |
(fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 (*.f32 x x) s) |
(neg.f32 x) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
| 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) (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(/.f32 (-.f32 (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (*.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(/.f32 (-.f32 (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (*.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) (-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))) |
(/.f32 (-.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (fma.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (-.f32 (*.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) (*.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))))))) |
(/.f32 #s(literal -1 binary32) (+.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))) |
(-.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(+.f32 (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(+.f32 (neg.f32 (sinh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) (cosh.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(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)))) |
(log.f32 (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))))) |
(*.f32 #s(literal -1 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (neg.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32)))) |
(-.f32 #s(literal 0 binary32) (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s)))) |
(log.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(-.f32 (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) (log.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(-.f32 (log1p.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32)))) (log1p.f32 (*.f32 (exp.f32 (/.f32 (neg.f32 x) s)) (expm1.f32 (/.f32 (neg.f32 x) s))))) |
(log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) |
(*.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 (-.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)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 #s(literal 1/4 binary32) (/.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 (-.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #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 (pow.f32 (*.f32 #s(literal 1/4 binary32) (/.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)) (-.f32 (fma.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (*.f32 (/.f32 x s) #s(literal 1/8 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/4 binary32) (/.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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 1/4 binary32) (/.f32 x s) #s(literal 1/2 binary32)) |
(fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32)) |
(fma.f32 x (/.f32 #s(literal 1/4 binary32) s) #s(literal 1/2 binary32)) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal 1/4 binary32) (/.f32 x s)) #s(literal 3 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 x s) #s(literal 1/8 binary32)))) (/.f32 #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 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))) |
(/.f32 (neg.f32 x) (neg.f32 s)) |
(/.f32 x s) |
(neg.f32 (/.f32 (neg.f32 x) s)) |
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) |
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(/.f32 (-.f32 (pow.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x) #s(literal 2 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) (*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x) #s(literal 2 binary32)) (/.f32 x s))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 2 binary32))))) |
(/.f32 (fma.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) s (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 x s)) s)) |
(/.f32 (fma.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))) (*.f32 s s) (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 s s))) |
(/.f32 (fma.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) s (*.f32 (fma.f32 (/.f32 x s) (+.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 4 binary32)) (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (/.f32 x s) (+.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 4 binary32)) s)) |
(/.f32 (fma.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (*.f32 s s) (*.f32 (fma.f32 (/.f32 x s) (+.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/2 binary32)))) (*.f32 (fma.f32 (/.f32 x s) (+.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 4 binary32)) (*.f32 s s))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 s (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))))) (*.f32 s (+.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) (fma.f32 (/.f32 x s) (+.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 4 binary32)) (*.f32 s (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) (*.f32 s (fma.f32 (/.f32 x s) (+.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 4 binary32)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (*.f32 s s) (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 x s) #s(literal 2 binary32))))) (*.f32 (*.f32 s s) (+.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (fma.f32 (/.f32 x s) (+.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 4 binary32)) (*.f32 (*.f32 s s) (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32))))) (*.f32 (*.f32 s s) (fma.f32 (/.f32 x s) (+.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 4 binary32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 2 binary32))) (-.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 2 binary32)) (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) |
(/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 2 binary32)) (-.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) (/.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 2 binary32)) (-.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
(-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x) #s(literal 2 binary32)) (/.f32 x s)) |
(-.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) s)) (*.f32 (/.f32 x s) x))) |
(-.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 (neg.f32 (*.f32 (/.f32 x s) x)) (/.f32 #s(literal 1/2 binary32) s))) |
(-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(fma.f32 (/.f32 (*.f32 x x) (fabs.f32 s)) (/.f32 #s(literal 1/2 binary32) (fabs.f32 s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(fma.f32 (/.f32 (*.f32 x x) (neg.f32 s)) (/.f32 #s(literal 1/2 binary32) (neg.f32 s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(+.f32 (/.f32 (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) (pow.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) #s(literal 2 binary32))))) |
(+.f32 (-.f32 #s(literal 2 binary32) (/.f32 x s)) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) |
(+.f32 (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) (-.f32 #s(literal 2 binary32) (/.f32 x s))) |
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
(pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s)))))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s))))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
(*.f32 (fabs.f32 x) (/.f32 (fabs.f32 x) s)) |
(*.f32 (/.f32 x s) x) |
(*.f32 (neg.f32 x) (/.f32 (neg.f32 x) s)) |
(*.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))) |
(neg.f32 x) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32))) (neg.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 2 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal -1 binary32)))) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal -1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (/.f32 x s))) |
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (neg.f32 x) s) #s(literal -1/2 binary32))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) |
(fma.f32 (/.f32 x s) #s(literal -1/2 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 3 binary32)) (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (pow.f32 (/.f32 x s) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))))) |
(+.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 x s))) |
Compiled 9 793 to 1 357 computations (86.1% saved)
25 alts after pruning (19 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 289 | 9 | 298 |
| Fresh | 3 | 10 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 295 | 25 | 320 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 47.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) | |
| 55.9% | (/.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)))) | |
| 51.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| ✓ | 53.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
| 34.5% | (/.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)))) | |
| 53.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) | |
| ▶ | 48.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
| ✓ | 34.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 51.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) | |
| 34.5% | (/.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)))) | |
| 48.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) | |
| 34.7% | (/.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))))) | |
| 32.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) | |
| 34.8% | (/.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 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) | |
| ▶ | 32.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
| ▶ | 39.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
| 36.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (* (/ (* x x) s) (/ 1/2 s)) (*.f32 (*.f32 x (/.f32 (/.f32 x s) s)) #s(literal 1/2 binary32)))))) | |
| 43.4% | (*.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)))) | |
| ▶ | 63.5% | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
| ✓ | 99.9% | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
| ✓ | 24.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ▶ | 7.2% | #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))) |
| 24.1% | #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))) | |
| ✓ | 30.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 1 281 to 924 computations (27.9% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) | |
| cost-diff | 0 | (-.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 (exp (/ (neg 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 (exp (/ (neg 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 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) | |
| cost-diff | 0 | (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) | |
| cost-diff | 0 | #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) | |
| 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 | (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) | |
| cost-diff | 0 | (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) | |
| cost-diff | 14 | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 458 |
| 0 | 85 | 458 |
| 1 | 151 | 456 |
| 2 | 373 | 444 |
| 3 | 1513 | 444 |
| 4 | 7174 | 444 |
| 0 | 8455 | 436 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
#s(literal 1 binary32) |
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(/.f32 (neg.f32 x) s) |
(neg.f32 x) |
x |
s |
#s(literal -1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(exp.f32 (/.f32 x s)) |
(/.f32 x s) |
#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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) |
(*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) |
x |
(*.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 |
(/.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 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)) |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
s |
(*.f32 (/.f32 x s) x) |
(/.f32 x s) |
x |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg 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 (exp (/ (neg 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) |
| Outputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.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))) |
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
#s(literal 1 binary32) |
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(-.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 |
#s(literal -1 binary32) |
(+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) |
(-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) |
(exp.f32 (/.f32 x s)) |
(/.f32 x s) |
#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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)) |
(*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
x |
(*.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 |
(/.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 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))) |
#s(literal 1 binary32) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(/.f32 #s(literal 1/2 binary32) s) |
#s(literal 1/2 binary32) |
s |
(*.f32 (/.f32 x s) x) |
(/.f32 x s) |
x |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg 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 (exp (/ (neg 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 (exp (/ (neg 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 (exp (/ (neg 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 (*.f32 x 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 (*.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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.04296875 | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) | |
| accuracy | 0.0859375 | (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) | |
| accuracy | 3.0128718271719443 | (/.f32 (*.f32 x x) s) | |
| accuracy | 6.781508217085808 | #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s))) | |
| accuracy | 0.09375 | (*.f32 (/.f32 x s) x) | |
| accuracy | 0.8884595629479279 | (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)) | |
| accuracy | 6.709082070371504 | #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))) | |
| accuracy | 6.781508217085808 | #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))) | |
| accuracy | 1.595547091612564 | (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) | |
| accuracy | 3.4325236841172524 | (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) | |
| accuracy | 6.709082070371504 | #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) | |
| accuracy | 6.781508217085808 | #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))) | |
| accuracy | 0.0 | (/.f32 #s(literal 1/4 binary32) s) | |
| accuracy | 0.1875 | (*.f32 (/.f32 #s(literal 1/4 binary32) s) x) | |
| accuracy | 6.77882852278326 | #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #s(literal 1/4 binary32) s) x)) | |
| accuracy | 14.848312986905421 | #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 | 0.03125 | (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) | |
| accuracy | 0.0395775662523781 | (exp.f32 (/.f32 (neg.f32 x) s)) | |
| accuracy | 0.045074839105890746 | (exp.f32 (/.f32 x s)) | |
| accuracy | 1.3049291799056835 | (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
| 68.0ms | 174× | 0 | valid |
| 34.0ms | 82× | 0 | exit |
Compiled 293 to 43 computations (85.3% saved)
ival-mult: 30.0ms (37.9% of total)ival-div: 27.0ms (34.1% of total)ival-add: 9.0ms (11.4% of total)ival-exp: 5.0ms (6.3% of total)ival-sub: 5.0ms (6.3% of total)ival-neg: 2.0ms (2.5% of total)exact: 1.0ms (1.3% 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 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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)) |
#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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) |
(*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg 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 (exp (/ (neg 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)) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) |
(exp.f32 (/.f32 x s)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(*.f32 (/.f32 x s) x) |
(/.f32 (*.f32 x x) s) |
| Outputs |
|---|
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2)))))) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/768 (/ 1 (pow s 6))) (* 1/360 (/ 1 (pow s 6))))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2)))))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(* 1/4 (/ x s)) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(/ x s) |
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) |
1 |
(+ 1 (/ x s)) |
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(* 1/2 (/ x (pow s 2))) |
(/ (pow x 2) s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (+ 1 (exp (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (+ 1 (exp (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))) |
(* -1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))) |
(exp (/ x s)) |
(exp (* -1 (/ x s))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/ 1/4 s) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) |
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2)) |
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2)) |
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 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)))))) |
(+ 1/4 (* -1/16 (/ (+ (* -2 x) (* 2 x)) s))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (pow s 2)))) (* 1/16 (/ (+ (* -2 x) (* 2 x)) s))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -2 x) (* 2 x)) (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))))) (+ (* -1/64 (* (+ (* -2 x) (* 2 x)) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/16 (+ (* -1/2 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 3)))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -2 x) (* 2 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -2 x) (* 2 x)) s)) (* 1/16 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow s 2)))))) |
(+ 4 (+ (* -2 (/ x s)) (* 2 (/ x s)))) |
(+ 4 (+ (* -2 (/ x s)) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))) |
(+ 4 (+ (* -2 (/ x s)) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* -1/2 (/ (pow x 3) (pow s 3))) (+ (* -1/3 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))))))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)) |
(/ (+ x (* -1/2 (/ (pow x 2) s))) s) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))) |
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 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))) |
(+ 1/4 (* 1/16 (/ (+ (* -2 x) (* 2 x)) s))) |
(+ 1/4 (* -1 (/ (- (+ (* -1/64 (/ (pow (+ (* -2 x) (* 2 x)) 2) s)) (* 1/16 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) s))) (* 1/16 (+ (* -2 x) (* 2 x)))) s))) |
(+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 x) (* 2 x)) (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) s)) (+ (* -1/64 (/ (* (+ (* -2 x) (* 2 x)) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) s)) (* 1/16 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 3))))) s)))) (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) s)) (* 1/16 (+ (* -2 x) (* 2 x)))) s))) |
(+ 4 (* -1 (/ (+ (* -2 x) (* 2 x)) s))) |
(+ 4 (* -1 (/ (+ (* -2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) s)) (* 2 x))) s))) |
(+ 4 (* -1 (/ (+ (* -2 x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 3))))) s)) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) s)) (* 2 x))) s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))) |
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) |
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((* (/ 1 (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s))))) (+ 1 (exp (/ x s)))) (/ 1 (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s))))) (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s)))) (- (exp (/ (neg x) s)) -1) (/ 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 (* s s)) x) (/ 1 s)) x) 2) (* x (* (/ 1/2 (* s s)) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ 1/2 s) (* (/ x s) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/ (+ (* (/ (* x x) s) -1/2) x) s) (exp (/ x s)) (exp (/ (neg x) s)) (* (/ 1/2 (* s s)) x) (* (/ x s) x) (/ (* x x) s)) |
| 7.0ms | x | @ | 0 | ((* (/ 1 (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s))))) (+ 1 (exp (/ x s)))) (/ 1 (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s))))) (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s)))) (- (exp (/ (neg x) s)) -1) (/ 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 (* s s)) x) (/ 1 s)) x) 2) (* x (* (/ 1/2 (* s s)) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ 1/2 s) (* (/ x s) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/ (+ (* (/ (* x x) s) -1/2) x) s) (exp (/ x s)) (exp (/ (neg x) s)) (* (/ 1/2 (* s s)) x) (* (/ x s) x) (/ (* x x) s)) |
| 6.0ms | s | @ | inf | ((* (/ 1 (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s))))) (+ 1 (exp (/ x s)))) (/ 1 (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s))))) (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s)))) (- (exp (/ (neg x) s)) -1) (/ 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 (* s s)) x) (/ 1 s)) x) 2) (* x (* (/ 1/2 (* s s)) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ 1/2 s) (* (/ x s) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/ (+ (* (/ (* x x) s) -1/2) x) s) (exp (/ x s)) (exp (/ (neg x) s)) (* (/ 1/2 (* s s)) x) (* (/ x s) x) (/ (* x x) s)) |
| 4.0ms | s | @ | 0 | ((* (/ 1 (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s))))) (+ 1 (exp (/ x s)))) (/ 1 (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s))))) (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s)))) (- (exp (/ (neg x) s)) -1) (/ 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 (* s s)) x) (/ 1 s)) x) 2) (* x (* (/ 1/2 (* s s)) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ 1/2 s) (* (/ x s) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/ (+ (* (/ (* x x) s) -1/2) x) s) (exp (/ x s)) (exp (/ (neg x) s)) (* (/ 1/2 (* s s)) x) (* (/ x s) x) (/ (* x x) s)) |
| 4.0ms | s | @ | -inf | ((* (/ 1 (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s))))) (+ 1 (exp (/ x s)))) (/ 1 (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s))))) (* (- (exp (/ (neg x) s)) -1) (+ 1 (exp (/ x s)))) (- (exp (/ (neg x) s)) -1) (/ 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 (* s s)) x) (/ 1 s)) x) 2) (* x (* (/ 1/2 (* s s)) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (* (/ 1/2 s) (* (/ x s) x)) (/ 1 (+ 1 (exp (/ (neg x) s)))) (+ 1 (exp (/ (neg x) s))) (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/ (+ (* (/ (* x x) s) -1/2) x) s) (exp (/ x s)) (exp (/ (neg x) s)) (* (/ 1/2 (* s s)) x) (* (/ x s) x) (/ (* x x) s)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 370 | 1345 |
| 1 | 1266 | 1036 |
| 2 | 6104 | 1024 |
| 0 | 8152 | 962 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/2 |
(+ 1/2 (* 1/4 (/ x s))) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 s))))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 s))))) |
1/4 |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2)))))) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/768 (/ 1 (pow s 6))) (* 1/360 (/ 1 (pow s 6))))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2)))))) |
4 |
(+ 4 (/ (pow x 2) (pow s 2))) |
(+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2))))) |
2 |
(+ 2 (* -1 (/ x s))) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(* 1/4 (/ x s)) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(/ x s) |
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) |
1 |
(+ 1 (/ x s)) |
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(+ 1 (* -1 (/ x s))) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 s)))) |
(* 1/2 (/ x (pow s 2))) |
(/ (pow x 2) s) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (+ 1 (exp (/ x s))))) |
(* (+ 1 (exp (* -1 (/ x s)))) (+ 1 (exp (/ x s)))) |
(+ 1 (exp (* -1 (/ x s)))) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))) |
(* -1/2 (/ (pow x 2) (pow s 2))) |
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))) |
(exp (/ x s)) |
(exp (* -1 (/ x s))) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/ 1/4 s) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 2)) |
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2)) |
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 2)) |
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2)) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(- (+ 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)))))) |
(+ 1/4 (* -1/16 (/ (+ (* -2 x) (* 2 x)) s))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (pow s 2)))) (* 1/16 (/ (+ (* -2 x) (* 2 x)) s))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -2 x) (* 2 x)) (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))))) (+ (* -1/64 (* (+ (* -2 x) (* 2 x)) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/16 (+ (* -1/2 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 3)))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -2 x) (* 2 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -2 x) (* 2 x)) s)) (* 1/16 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow s 2)))))) |
(+ 4 (+ (* -2 (/ x s)) (* 2 (/ x s)))) |
(+ 4 (+ (* -2 (/ x s)) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))) |
(+ 4 (+ (* -2 (/ x s)) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* -1/2 (/ (pow x 3) (pow s 3))) (+ (* -1/3 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))))))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)) |
(/ (+ x (* -1/2 (/ (pow x 2) s))) s) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))) |
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(+ 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))) |
(+ 1/4 (* 1/16 (/ (+ (* -2 x) (* 2 x)) s))) |
(+ 1/4 (* -1 (/ (- (+ (* -1/64 (/ (pow (+ (* -2 x) (* 2 x)) 2) s)) (* 1/16 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) s))) (* 1/16 (+ (* -2 x) (* 2 x)))) s))) |
(+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 x) (* 2 x)) (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) s)) (+ (* -1/64 (/ (* (+ (* -2 x) (* 2 x)) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) s)) (* 1/16 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 3))))) s)))) (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) s)) (* 1/16 (+ (* -2 x) (* 2 x)))) s))) |
(+ 4 (* -1 (/ (+ (* -2 x) (* 2 x)) s))) |
(+ 4 (* -1 (/ (+ (* -2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) s)) (* 2 x))) s))) |
(+ 4 (* -1 (/ (+ (* -2 x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 3))))) s)) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) s)) (* 2 x))) s))) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))) |
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) |
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
| Outputs |
|---|
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 binary32)) |
(+ 1/2 (* x (+ (* -1/48 (/ (pow x 2) (pow s 3))) (* 1/4 (/ 1 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))) |
(+ 1/2 (* x (+ (* (pow x 2) (- (* 1/480 (/ (pow x 2) (pow s 5))) (* 1/48 (/ 1 (pow s 3))))) (* 1/4 (/ 1 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))) |
1/4 |
#s(literal 1/4 binary32) |
(+ 1/4 (* -1/16 (/ (pow x 2) (pow s 2)))) |
(fma.f32 (/.f32 #s(literal -1/16 binary32) s) (*.f32 x (/.f32 x s)) #s(literal 1/4 binary32)) |
(+ 1/4 (* (pow x 2) (- (* 1/96 (/ (pow x 2) (pow s 4))) (* 1/16 (/ 1 (pow s 2)))))) |
(fma.f32 (fma.f32 (*.f32 (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32))) x) x (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32)) |
(+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ (* (pow x 2) (- (* 1/768 (/ 1 (pow s 6))) (* 1/360 (/ 1 (pow s 6))))) (* 1/96 (/ 1 (pow s 4))))) (* 1/16 (/ 1 (pow s 2)))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 #s(literal -17/11520 binary32) (pow.f32 s #s(literal 6 binary32))) x) x (/.f32 #s(literal 1/96 binary32) (pow.f32 s #s(literal 4 binary32)))) (*.f32 x x) (/.f32 #s(literal -1/16 binary32) (*.f32 s s))) (*.f32 x x) #s(literal 1/4 binary32)) |
4 |
#s(literal 4 binary32) |
(+ 4 (/ (pow x 2) (pow s 2))) |
(fma.f32 (/.f32 x s) (/.f32 x s) #s(literal 4 binary32)) |
(+ 4 (* (pow x 2) (+ (* 1/12 (/ (pow x 2) (pow s 4))) (/ 1 (pow s 2))))) |
(fma.f32 (fma.f32 #s(literal 1/12 binary32) (*.f32 x (/.f32 x (pow.f32 s #s(literal 4 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) s) s)) (*.f32 x x) #s(literal 4 binary32)) |
2 |
#s(literal 2 binary32) |
(+ 2 (* -1 (/ x s))) |
(-.f32 #s(literal 2 binary32) (/.f32 x s)) |
(+ 2 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)) |
(+ 2 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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)) |
(* 1/4 (/ x s)) |
(*.f32 (/.f32 #s(literal 1/4 binary32) s) x) |
(* 1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) x) |
(/ x s) |
(/.f32 x s) |
(* x (+ (* -1/2 (/ x (pow s 2))) (/ 1 s))) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) |
1 |
#s(literal 1 binary32) |
(+ 1 (/ x s)) |
(+.f32 (/.f32 x s) #s(literal 1 binary32)) |
(+ 1 (* x (+ (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)) |
(+ 1 (* x (+ (* x (+ (* 1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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)) |
(+ 1 (* -1 (/ x s))) |
(-.f32 #s(literal 1 binary32) (/.f32 x s)) |
(+ 1 (* x (- (* 1/2 (/ x (pow s 2))) (/ 1 s)))) |
(fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 1 binary32)) |
(+ 1 (* x (- (* x (+ (* -1/6 (/ x (pow s 3))) (* 1/2 (/ 1 (pow s 2))))) (/ 1 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)) |
(* 1/2 (/ x (pow s 2))) |
(*.f32 (/.f32 (/.f32 x s) s) #s(literal 1/2 binary32)) |
(/ (pow x 2) s) |
(*.f32 x (/.f32 x s)) |
(/ 1 (+ 1 (exp (* -1 (/ x s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(/ 1 (* (+ 1 (exp (* -1 (/ x s)))) (+ 1 (exp (/ x s))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(* (+ 1 (exp (* -1 (/ x s)))) (+ 1 (exp (/ x s)))) |
(*.f32 (+.f32 (exp.f32 (/.f32 x s)) #s(literal 1 binary32)) (+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32))) |
(+ 1 (exp (* -1 (/ x s)))) |
(+.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) |
(* x (+ (* 1/4 (/ 1 s)) (* 1/2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 #s(literal -1/4 binary32) s)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow s 2))) (/ 1 (* s x)))) |
(*.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow s 2))) (/ 2 (pow x 2))) (/ 1 (* s x)))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) (/.f32 (/.f32 #s(literal 1 binary32) x) s)) (*.f32 x x)) |
(* -1/2 (/ (pow x 2) (pow s 2))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (/.f32 x s) s)) x) |
(* (pow x 2) (- (/ 1 (* s x)) (* 1/2 (/ 1 (pow s 2))))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) s) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) (*.f32 x x)) |
(exp (/ x s)) |
(exp.f32 (/.f32 x s)) |
(exp (* -1 (/ x s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(* (pow x 2) (+ (* -1 (/ (- (/ 1 s) (* 2 (/ 1 x))) x)) (* 1/2 (/ 1 (pow s 2))))) |
(*.f32 (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) s) (/.f32 #s(literal 2 binary32) x)) (neg.f32 x)) (/.f32 #s(literal -1/2 binary32) (*.f32 s s))) x) x) |
(/ (+ (* 1/4 x) (* 1/2 s)) s) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) s (*.f32 #s(literal 1/4 binary32) x)) s) |
(/ 1/4 s) |
(/.f32 #s(literal 1/4 binary32) s) |
(/ (+ (* -1 (* s x)) (* 1/2 (pow x 2))) (pow s 2)) |
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 s) x)) (*.f32 s s)) |
(/ (+ (* 1/2 (pow x 2)) (* s (+ (* -1 x) (* 2 s)))) (pow s 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) |
(/ (- (* -1 (* s x)) (* -1/2 (pow x 2))) (pow s 2)) |
(/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 s) x)) (*.f32 s s)) |
(/ (- (* s (- (* 2 s) x)) (* -1/2 (pow x 2))) (pow s 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) |
(/ (+ (* -1/2 (pow x 2)) (* s x)) (pow s 2)) |
(/.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (*.f32 s x)) s) s) |
(- (+ 1/2 (* -1 (/ (+ (* -1/8 (pow x 2)) (* 1/8 (pow x 2))) (pow s 2)))) (* -1/4 (/ x s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 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)))))) |
(fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/48 binary32) #s(literal 0 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))) |
(+ 1/4 (* -1/16 (/ (+ (* -2 x) (* 2 x)) s))) |
#s(literal 1/4 binary32) |
(- (+ 1/4 (* -1 (/ (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (pow s 2)))) (* 1/16 (/ (+ (* -2 x) (* 2 x)) s))) |
(-.f32 #s(literal 1/4 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) #s(literal 0 binary32))) |
(- (+ 1/4 (* -1 (/ (+ (* -1/4 (* (+ (* -2 x) (* 2 x)) (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2))))))) (+ (* -1/64 (* (+ (* -2 x) (* 2 x)) (+ (* -1 (pow x 2)) (* 2 (pow x 2))))) (* 1/16 (+ (* -1/2 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 3)))))))) (pow s 3)))) (+ (* -1/64 (/ (pow (+ (* -2 x) (* 2 x)) 2) (pow s 2))) (+ (* 1/16 (/ (+ (* -2 x) (* 2 x)) s)) (* 1/16 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) (pow s 2)))))) |
(-.f32 #s(literal 1/4 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/6 binary32) (*.f32 #s(literal 5/6 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/16 binary32) #s(literal 0 binary32)) s) (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal 0 binary32))) (*.f32 s s))) |
(+ 4 (+ (* -2 (/ x s)) (* 2 (/ x s)))) |
#s(literal 4 binary32) |
(+ 4 (+ (* -2 (/ x s)) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))) |
(+.f32 (fma.f32 (/.f32 x s) (/.f32 x s) #s(literal 0 binary32)) #s(literal 4 binary32)) |
(+ 4 (+ (* -2 (/ x s)) (+ (* -1 (/ (pow x 2) (pow s 2))) (+ (* -1/2 (/ (pow x 3) (pow s 3))) (+ (* -1/3 (/ (pow x 3) (pow s 3))) (+ (* 1/3 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 3) (pow s 3))) (+ (* 2 (/ x s)) (* 2 (/ (pow x 2) (pow s 2))))))))))) |
(+.f32 (+.f32 #s(literal 4 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) x (/.f32 (*.f32 (neg.f32 x) x) s)) s)) (fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal -5/6 binary32) (fma.f32 (/.f32 (fma.f32 x (/.f32 x s) x) s) #s(literal 2 binary32) (*.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 5/6 binary32))))) |
(+ 2 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(-.f32 #s(literal 2 binary32) (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) s)) s)) |
(- (+ 2 (* 1/2 (/ (pow x 2) (pow s 2)))) (/ x s)) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(/ (+ x (* -1/2 (/ (pow x 2) s))) s) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s))) |
(fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)) |
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow s 3))) (+ (* 1/2 (/ (pow x 2) (pow s 2))) (/ x s)))) |
(fma.f32 (pow.f32 (/.f32 x s) #s(literal 3 binary32)) #s(literal 1/6 binary32) (fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32))) |
(+ 1 (+ (* -1 (/ x s)) (* 1/2 (/ (pow x 2) (pow s 2))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (+ (* -1 (/ x s)) (+ (* -1/6 (/ (pow x 3) (pow s 3))) (* 1/2 (/ (pow x 2) (pow s 2)))))) |
(-.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)) |
(+ 1/2 (* -1 (/ (- (+ (* -1/8 (/ (pow x 2) s)) (* 1/8 (/ (pow x 2) s))) (* 1/4 x)) s))) |
(fma.f32 (/.f32 #s(literal 1/4 binary32) s) x #s(literal 1/2 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))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) x (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal -1/48 binary32) #s(literal 0 binary32)) (neg.f32 s))) s)) |
(+ 1/4 (* 1/16 (/ (+ (* -2 x) (* 2 x)) s))) |
#s(literal 1/4 binary32) |
(+ 1/4 (* -1 (/ (- (+ (* -1/64 (/ (pow (+ (* -2 x) (* 2 x)) 2) s)) (* 1/16 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) s))) (* 1/16 (+ (* -2 x) (* 2 x)))) s))) |
(-.f32 #s(literal 1/4 binary32) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/16 binary32) (*.f32 s s)) #s(literal 0 binary32))) |
(+ 1/4 (* -1 (/ (- (* -1 (/ (- (+ (* -1/4 (/ (* (+ (* -2 x) (* 2 x)) (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) s)) (+ (* -1/64 (/ (* (+ (* -2 x) (* 2 x)) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) s)) (* 1/16 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 3))))) s)))) (+ (* -1/64 (pow (+ (* -2 x) (* 2 x)) 2)) (* 1/16 (+ (* -1 (pow x 2)) (* 2 (pow x 2)))))) s)) (* 1/16 (+ (* -2 x) (* 2 x)))) s))) |
(-.f32 #s(literal 1/4 binary32) (/.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/6 binary32) (*.f32 #s(literal 5/6 binary32) (pow.f32 x #s(literal 3 binary32)))) #s(literal 1/16 binary32) #s(literal 0 binary32)) s) (*.f32 #s(literal 1/16 binary32) (*.f32 x x))) (neg.f32 s)) s)) |
(+ 4 (* -1 (/ (+ (* -2 x) (* 2 x)) s))) |
#s(literal 4 binary32) |
(+ 4 (* -1 (/ (+ (* -2 x) (+ (* -1 (/ (+ (* -1 (pow x 2)) (* 2 (pow x 2))) s)) (* 2 x))) s))) |
(-.f32 #s(literal 4 binary32) (/.f32 (/.f32 (fma.f32 (neg.f32 x) x #s(literal 0 binary32)) s) s)) |
(+ 4 (* -1 (/ (+ (* -2 x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow x 3)) (+ (* -1/3 (pow x 3)) (+ (* 1/3 (pow x 3)) (* 1/2 (pow x 3))))) s)) (+ (* -1 (pow x 2)) (* 2 (pow x 2)))) s)) (* 2 x))) s))) |
(-.f32 #s(literal 4 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 x x (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -5/6 binary32) (*.f32 #s(literal 5/6 binary32) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 s))) (neg.f32 s)) #s(literal 0 binary32)) s)) |
(+ 2 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 2 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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)) |
(+ 2 (* -1 (/ (- (* -1/2 (/ (pow x 2) s)) (* -1 x)) s))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(* -1 (/ (+ (* -1 x) (* 1/2 (/ (pow x 2) s))) s)) |
(/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s) |
(+ 1 (* -1 (/ (+ (* -1 x) (* -1/2 (/ (pow x 2) s))) s))) |
(fma.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) #s(literal 1 binary32)) s) x #s(literal 1 binary32)) |
(+ 1 (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* 1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) s) #s(literal 1/6 binary32) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (neg.f32 s)) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1/2 (/ (pow x 2) s))) s))) |
(-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 x (/.f32 x s)) #s(literal -1/2 binary32) x) s)) |
(+ 1 (* -1 (/ (+ x (* -1 (/ (+ (* -1/6 (/ (pow x 3) s)) (* 1/2 (pow x 2))) s))) 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 | 57 | 398 |
| 0 | 85 | 398 |
| 1 | 279 | 396 |
| 0 | 2044 | 388 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #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)) |
#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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))) |
(*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg 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 (exp (/ (neg 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)) |
(/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s) |
(exp.f32 (/.f32 x s)) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) |
(*.f32 (/.f32 x s) x) |
(/.f32 (*.f32 x x) s) |
| Outputs |
|---|
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (/.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(*.f32 #s(literal 1 binary32) (/.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.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 x s)))) |
(/.f32 (*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.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 (/.f32 x s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (*.f32 (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (-.f32 (*.f32 (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))))) |
(/.f32 (/.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(/.f32 (/.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(/.f32 (neg.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32))) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
(/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32))))) (*.f32 (*.f32 (-.f32 (exp.f32 (/.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 x s))))) |
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(/.f32 (*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32))) |
(/.f32 (*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) (*.f32 (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))))) |
(/.f32 (*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(/.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (*.f32 (neg.f32 (exp.f32 (/.f32 x s))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (exp.f32 (/.f32 x s)))) |
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32)) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -1 binary32)) #s(literal -1 binary32) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1/2 binary32)) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (pow.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (exp.f32 (/.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal 1 binary32) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 (exp.f32 (/.f32 x s)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
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(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (/.f32 (exp.f32 (/.f32 x s)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
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(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(*.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (pow.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #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) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (neg.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #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 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(pow.f32 (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))))) |
(*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) |
(*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(/.f32 (*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 (*.f32 (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32))) (+.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (expm1.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 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (+.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(/.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32))) (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32))) |
(/.f32 (-.f32 (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (*.f32 (*.f32 (exp.f32 (/.f32 x s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (*.f32 (exp.f32 (/.f32 x s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) (-.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (*.f32 (exp.f32 (/.f32 x s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))) |
(/.f32 (+.f32 (pow.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (exp.f32 (/.f32 x s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (-.f32 (*.f32 (*.f32 (exp.f32 (/.f32 x s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))) (*.f32 (exp.f32 (/.f32 x s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (*.f32 (exp.f32 (/.f32 x s)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32))))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (+.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32)))) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))) (+.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) |
(/.f32 (*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32)) (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))) (*.f32 (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 (*.f32 (+.f32 (exp.f32 (*.f32 (/.f32 x s) #s(literal 3 binary32))) #s(literal 1 binary32)) (-.f32 (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 3 binary32))) #s(literal -1 binary32))) (*.f32 (fma.f32 (exp.f32 (/.f32 x s)) (expm1.f32 (/.f32 x s)) #s(literal 1 binary32)) (+.f32 (fma.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal 1 binary32)) (exp.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32)))))) |
(/.f32 (*.f32 (expm1.f32 (*.f32 (/.f32 (neg.f32 x) s) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (/.f32 x s) #s(literal 2 binary32))))) (*.f32 (+.f32 #s(literal -1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) (-.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) |
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(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x))) |
#s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) (/.f32 x s)) |
(*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (*.f32 s s))) |
(*.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal 1/2 binary32) s)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) (*.f32 x x)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (/.f32 x s) x) s)) |
(*.f32 (/.f32 x s) (*.f32 x (/.f32 #s(literal 1/2 binary32) s))) |
(*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)) |
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (*.f32 s s)) |
(/.f32 (*.f32 (*.f32 (neg.f32 x) x) (/.f32 #s(literal 1/2 binary32) s)) (neg.f32 s)) |
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) s)) s) |
(/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (*.f32 s s)) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (neg.f32 x) x)) (neg.f32 s)) |
(/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 x x)) s) |
(/.f32 (*.f32 (*.f32 (neg.f32 x) x) #s(literal -1/2 binary32)) (*.f32 s s)) |
(/.f32 (*.f32 (*.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s)) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 x) x)) (*.f32 s s)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 x) x)) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 s s)) |
(/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) (neg.f32 s)) |
(*.f32 (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))) #s(literal -1/2 binary32)) (pow.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))) #s(literal -1/2 binary32))) |
(*.f32 #s(literal -1 binary32) (/.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 (/.f32 x s) x) x) s))))) |
(*.f32 #s(literal 1 binary32) (/.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 (/.f32 x s) x) x) s))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg 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 1 binary32) (neg.f32 (neg.f32 #s(approx (+ 1 (exp (/ (neg 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 1 binary32) (pow.f32 #s(approx (+ 1 (exp (/ (neg 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))) |
(/.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 (/.f32 x s) x) x) s)))) |
(pow.f32 #s(approx (+ 1 (exp (/ (neg 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)) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ 1 (exp (/ (neg 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))) |
(neg.f32 (/.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 (/.f32 x s) x) x) s))))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)))))) |
#s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))) |
(/.f32 (neg.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32)) #s(literal 4 binary32)))) |
(/.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32))) |
(/.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 3 binary32))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32)) #s(literal 4 binary32))) |
(-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s)) (/.f32 x s)) |
(-.f32 (/.f32 #s(literal 4 binary32) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32))) (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32)))) |
(-.f32 (/.f32 #s(literal 8 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32)) #s(literal 4 binary32))) (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 3 binary32)) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) #s(literal 2 binary32)) #s(literal 4 binary32)))) |
(-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s)) |
(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s))) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s)) (*.f32 (/.f32 x s) (/.f32 x s))) (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s) (/.f32 x s))) |
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s) #s(literal 3 binary32)) (pow.f32 (/.f32 x s) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s) (-.f32 (*.f32 (/.f32 x s) (/.f32 x s)) (*.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s) (/.f32 x s))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x))) (neg.f32 (neg.f32 s))) |
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) (neg.f32 s) (*.f32 s (neg.f32 x))) (*.f32 (neg.f32 s) s)) |
(/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s (*.f32 s x)) (*.f32 s s)) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) #s(literal 2 binary32)) (*.f32 x x)) (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) x) s)) |
(/.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))) (*.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))) s)) |
(/.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x)) (neg.f32 s)) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) s) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (/.f32 x s) x) s) (/.f32 x s)) |
(fma.f32 (*.f32 (/.f32 x s) x) (/.f32 #s(literal -1/2 binary32) s) (/.f32 x s)) |
(+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s) (/.f32 x s)) |
(+.f32 (/.f32 x s) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x)) s)) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x)) s)) |
(neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 x s) x) x) (neg.f32 s))) |
(*.f32 (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))) |
(/.f32 (-.f32 (*.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) (*.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))) (exp.f32 (/.f32 (neg.f32 x) s))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 x s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s)))))) |
(fma.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32) (*.f32 (sinh.f32 (/.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 x s)))) |
(+.f32 (*.f32 (cosh.f32 (/.f32 x s)) #s(literal 1 binary32)) (*.f32 (sinh.f32 (/.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 x s)))) |
(+.f32 (sinh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s))) |
(+.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 x s))) |
(exp.f32 (+.f32 #s(literal 0 binary32) (/.f32 x s))) |
(exp.f32 (/.f32 x s)) |
(*.f32 #s(literal -1 binary32) (neg.f32 (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 (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 (neg.f32 x) s))) |
(exp.f32 (/.f32 (neg.f32 x) s)) |
(*.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 (/.f32 x s) (/.f32 #s(literal 1/2 binary32) 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) (neg.f32 x)) (neg.f32 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 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x s)) (neg.f32 s)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x s)) s) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (neg.f32 x)) (*.f32 s s)) |
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 x)) (*.f32 (neg.f32 s) s)) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)) |
(*.f32 (fabs.f32 x) (/.f32 (fabs.f32 x) s)) |
(*.f32 (/.f32 x s) x) |
(*.f32 (neg.f32 x) (/.f32 (neg.f32 x) s)) |
(*.f32 x (/.f32 x s)) |
(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) |
(/.f32 (*.f32 x x) (neg.f32 (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 (fabs.f32 x) (/.f32 (fabs.f32 x) s)) |
(*.f32 (/.f32 x s) x) |
(*.f32 (neg.f32 x) (/.f32 (neg.f32 x) s)) |
(*.f32 x (/.f32 x s)) |
(/.f32 (*.f32 (neg.f32 x) x) (neg.f32 s)) |
(/.f32 (*.f32 x x) (neg.f32 (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))) |
Compiled 12 736 to 1 605 computations (87.4% saved)
26 alts after pruning (16 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 367 | 5 | 372 |
| Fresh | 3 | 11 | 14 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 371 | 26 | 397 |
| Status | Accuracy | Program |
|---|---|---|
| 63.5% | (/.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) | |
| ✓ | 99.8% | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 47.9% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) | |
| 55.9% | (/.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)))) | |
| 51.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) | |
| ✓ | 53.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
| 34.5% | (/.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)))) | |
| ✓ | 48.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 (/.f32 (*.f32 x x) s) #s(literal -1/2 binary32) x) s)))) |
| ✓ | 34.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
| 51.3% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) | |
| 34.7% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 s) x)) (*.f32 s s))))) | |
| 34.5% | (/.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)))) | |
| 48.2% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) | |
| 32.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) | |
| 34.8% | (/.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 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) | |
| ✓ | 32.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
| 36.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) s) s))))) | |
| 36.5% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s))))) | |
| 38.1% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 s s)))))) | |
| ✓ | 39.4% | (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
| 43.4% | (*.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)))) | |
| ✓ | 99.9% | (exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
| ✓ | 24.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) (fma.f32 (/.f32 x s) #s(literal 1/4 binary32) #s(literal 1/2 binary32))) |
| ✓ | 7.2% | #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))) |
| 24.1% | #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))) | |
| ✓ | 30.2% | #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
Compiled 1 775 to 763 computations (57% 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))) (-.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)))) |
#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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 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 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (* (/ (* x x) s) (/ 1/2 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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) 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 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.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))) #s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 s) x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.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 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #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) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #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) (-.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)))) |
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(exp.f32 (*.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal -1 binary32))) |
(/.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (*.f32 (-.f32 (exp.f32 (/.f32 x s)) #s(literal -1 binary32)) (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (exp.f32 (/.f32 (neg.f32 x) s)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s))))) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 x s)))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (cosh.f32 (/.f32 x s)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (/.f32 x s)) (cosh.f32 (/.f32 x s)) (-.f32 (*.f32 (sinh.f32 (/.f32 (neg.f32 x) s)) (sinh.f32 (/.f32 (neg.f32 x) s))) (*.f32 (cosh.f32 (/.f32 x s)) (sinh.f32 (/.f32 (neg.f32 x) s)))))))) |
| Outputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
7 calls:
| 22.0ms | (neg.f32 x) |
| 21.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 13.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 12.0ms | s |
| 10.0ms | x |
| 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))) (-.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)))) |
#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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 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 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (* (/ (* x x) s) (/ 1/2 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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) 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 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.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))) #s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 s) x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.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 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #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) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(/.f32 #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) (-.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)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
7 calls:
| 35.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 19.0ms | s |
| 19.0ms | x |
| 8.0ms | (neg.f32 x) |
| 8.0ms | (/.f32 (neg.f32 x) s) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (neg.f32 x) |
| 99.8% | 1 | (/.f32 (neg.f32 x) s) |
| 99.8% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 99.8% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 99.8% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | s |
Compiled 29 to 31 computations (-6.9% saved)
| Inputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(approx (+ (* (/ x s) 1/4) 1/2) (*.f32 (/.f32 #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))) (-.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)))) |
#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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 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 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (* (/ (* x x) s) (/ 1/2 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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) 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 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.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))) #s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 s) x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.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 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #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)))) |
| 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 (-.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)))) |
7 calls:
| 11.0ms | x |
| 11.0ms | (/.f32 (neg.f32 x) s) |
| 8.0ms | s |
| 8.0ms | (neg.f32 x) |
| 6.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 2 | (neg.f32 x) |
| 66.7% | 2 | (/.f32 (neg.f32 x) s) |
| 66.7% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 66.7% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 66.7% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 66.7% | 2 | x |
| 55.9% | 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))) (-.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)))) |
#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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 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 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (* (/ (* x x) s) (/ 1/2 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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) 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 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.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))) #s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 s) x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.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 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) (/.f32 x s)) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s) (-.f32 #s(literal 2 binary32) (/.f32 x s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) s) (*.f32 (*.f32 s s) #s(literal 1 binary32))) (*.f32 (*.f32 s s) s)) x #s(literal 2 binary32)))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) |
6 calls:
| 10.0ms | (/.f32 (neg.f32 x) s) |
| 7.0ms | (neg.f32 x) |
| 7.0ms | x |
| 6.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 6.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.5% | 2 | x |
| 62.5% | 2 | (neg.f32 x) |
| 62.6% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 62.6% | 2 | (/.f32 (neg.f32 x) s) |
| 62.6% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 62.6% | 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))) (-.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)))) |
#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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 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 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (* (/ (* x x) s) (/ 1/2 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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) 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 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.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))) #s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 s) x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.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 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x) (/.f32 #s(literal 1 binary32) s)) x #s(literal 2 binary32)))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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)))) |
4 calls:
| 15.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 6.0ms | (/.f32 (neg.f32 x) s) |
| 5.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 5.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 62.6% | 2 | (/.f32 (neg.f32 x) s) |
| 62.6% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 62.6% | 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))) (-.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)))) |
#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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 #s(literal 1/2 binary32) x) (*.f32 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 (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal 1/2 binary32) x (neg.f32 s)) (*.f32 s s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) #s(approx (* (/ (* x x) s) (/ 1/2 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))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) s) x) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (/.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) 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 #s(literal 1/2 binary32) s) (*.f32 (/.f32 x s) x))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 (/.f32 (*.f32 x x) s) (/.f32 #s(literal 1/2 binary32) s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (*.f32 (*.f32 (/.f32 x s) x) #s(literal 1/2 binary32)) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (-.f32 (*.f32 (*.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))) #s(approx (- 2 (/ (+ (* (/ (* x x) s) -1/2) x) s)) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (*.f32 (neg.f32 s) x)) (*.f32 s s))))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) #s(approx (/ (+ (* -1/2 (/ x s)) 1) (neg s)) (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) s) x #s(literal -1 binary32)) s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 x (/.f32 x s)) x) s)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.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 (exp (/ (neg x) s))) (fma.f32 #s(approx (- (* (/ 1/2 (* s s)) x) (/ 1 s)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 x s) #s(literal 1 binary32)) (neg.f32 s))) x #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) (*.f32 s s))))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))) |
4 calls:
| 9.0ms | (/.f32 (neg.f32 x) s) |
| 5.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 5.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 5.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.6% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 62.6% | 2 | (/.f32 (neg.f32 x) s) |
| 62.6% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 62.6% | 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))) (-.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)))) |
#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))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s)))) |
7 calls:
| 5.0ms | s |
| 2.0ms | x |
| 2.0ms | (neg.f32 x) |
| 2.0ms | (/.f32 (neg.f32 x) s) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.5% | 1 | s |
| 42.9% | 2 | x |
| 42.9% | 2 | (neg.f32 x) |
| 43.2% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 43.2% | 2 | (/.f32 (neg.f32 x) s) |
| 43.2% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 43.2% | 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))) (-.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)))) |
#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))) |
| Outputs |
|---|
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
(/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (/.f32 x s)))) |
4 calls:
| 2.0ms | (/.f32 (neg.f32 x) s) |
| 2.0ms | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 2.0ms | (exp.f32 (/.f32 (neg.f32 x) s)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.2% | 2 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 43.2% | 2 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 43.2% | 2 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 43.2% | 2 | (/.f32 (neg.f32 x) s) |
Compiled 25 to 24 computations (4% saved)
Total -7.4b remaining (-33%)
Threshold costs -7.4b (-33%)
| 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:
| 1.0ms | s |
| 1.0ms | (neg.f32 x) |
| 1.0ms | x |
| 1.0ms | (/.f32 (neg.f32 x) s) |
| 1.0ms | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.2% | 1 | s |
| 30.2% | 1 | x |
| 30.2% | 1 | (neg.f32 x) |
| 30.2% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
| 30.2% | 1 | (exp.f32 (/.f32 (neg.f32 x) s)) |
| 30.2% | 1 | (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) |
| 30.2% | 1 | (/.f32 (neg.f32 x) s) |
Compiled 29 to 31 computations (-6.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.519585132598877 | 22.157638549804688 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.519585132598877 | 22.157638549804688 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.519585132598877 | 22.157638549804688 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.519585132598877 | 22.157638549804688 |
Compiled 12 to 14 computations (-16.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.770962953567505 | -0.5540032386779785 |
Compiled 12 to 13 computations (-8.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -2.770962953567505 | -0.5540032386779785 |
Compiled 12 to 13 computations (-8.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 300 |
| 1 | 113 | 300 |
| 2 | 204 | 300 |
| 3 | 427 | 300 |
| 4 | 1116 | 300 |
| 1× | node limit |
| Inputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -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))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
| Outputs |
|---|
(exp.f32 (neg.f32 (log1p.f32 (exp.f32 (/.f32 (neg.f32 x) s))))) |
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s)))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (-.f32 #s(literal 2 binary32) (-.f32 (/.f32 x s) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x))))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) (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))))) |
(if (<=.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (/.f32 (neg.f32 x) s))) #s(literal 5 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (+ (* (- (* (/ 1/2 (* s s)) x) (/ 1 s)) x) 2) (*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 s s)) x)))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -2 binary32)) #s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) #s(approx (+ 1 (exp (/ (neg x) s))) #s(approx (- 2 (/ x s)) (/.f32 (-.f32 (*.f32 #s(literal 2 binary32) s) x) s))))) |
(if (<=.f32 (/.f32 (neg.f32 x) s) #s(literal -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))))) |
#s(approx (/ 1 (+ 1 (exp (/ (neg x) s)))) #s(literal 1/2 binary32)) |
| 1× | fuel |
Compiled 300 to 77 computations (74.3% saved)
Compiled 618 to 170 computations (72.5% saved)
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