
Time bar (total: 7.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.7% | 92.5% | 6.2% | 0.1% | 0% | 1.2% | 0% | 9 |
| 93.7% | 92.5% | 6.2% | 0.1% | 0% | 1.2% | 0% | 10 |
| 96.8% | 94.9% | 3.1% | 0.1% | 0% | 1.9% | 0% | 11 |
| 96.8% | 94.9% | 3.1% | 0.1% | 0% | 1.9% | 0% | 12 |
Compiled 31 to 21 computations (32.3% saved)
| 1.4s | 5 872× | 0 | valid |
| 1.2s | 2 384× | 1 | valid |
| 148.0ms | 956× | 0 | exit |
ival-mult: 504.0ms (25.6% of total)ival-exp: 475.0ms (24.1% of total)adjust: 303.0ms (15.4% of total)ival-sub: 222.0ms (11.3% of total)ival-div: 192.0ms (9.7% of total)ival-neg: 136.0ms (6.9% of total)ival-add: 122.0ms (6.2% of total)exact: 13.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 75 | 2 | (-1.5283214663402997e-55 -3.628243867461129e-9) | 0 | - | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | cancellation | 76 | 0 |
-.f64 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | overflow | 57 | |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) eps) x) | overflow | 32 | |
| ↳ | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) | overflow | 32 | |
| ↳ | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) | overflow | 57 | |
| ↳ | (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) | overflow | 32 | |
| ↳ | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) | overflow | 48 | |
| ↳ | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) | overflow | 48 | |
| ↳ | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | overflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 75 | 0 |
| - | 2 | 179 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 75 | 0 | 0 |
| - | 2 | 0 | 179 |
| number | freq |
|---|---|
| 0 | 179 |
| 1 | 77 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 66.0ms | 154× | 1 | valid |
| 63.0ms | 358× | 0 | valid |
Compiled 315 to 61 computations (80.6% saved)
ival-exp: 20.0ms (24.8% of total)ival-mult: 16.0ms (19.9% of total)adjust: 13.0ms (16.1% of total)ival-div: 10.0ms (12.4% of total)ival-sub: 9.0ms (11.2% of total)ival-add: 7.0ms (8.7% of total)ival-neg: 5.0ms (6.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 182 |
| 1 | 211 | 172 |
| 2 | 666 | 163 |
| 3 | 3285 | 162 |
| 0 | 19 | 29 |
| 0 | 34 | 29 |
| 1 | 72 | 29 |
| 2 | 189 | 27 |
| 3 | 846 | 27 |
| 4 | 5066 | 27 |
| 0 | 8197 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) eps)) x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) |
(abs eps)
Compiled 29 to 19 computations (34.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(-.f64 #s(literal 1 binary64) eps) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(+.f64 #s(literal 1 binary64) eps) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- eps 1))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1)))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (* x (- 1 eps)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (/ 1 eps) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps)))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps))))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* x (+ 1 eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (- (* eps x) x)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 eps)))))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* x (- 1 eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 eps)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
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#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ 1 eps))) |
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#s(approx eps #s(hole binary64 eps)) |
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#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 x))) |
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#s(approx (* (+ 1 eps) x) #s(hole binary64 (+ x (* eps x)))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | eps | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
| 6.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
| 4.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
| 4.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
| 3.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 509 | 4217 |
| 1 | 3246 | 4215 |
| 0 | 8816 | 4017 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) |
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) |
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) |
(+ 1 (/ 1 eps)) |
1 |
(/ 1 eps) |
eps |
(exp (neg (* (- 1 eps) x))) |
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x |
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(neg (* (+ 1 eps) x)) |
(* (+ 1 eps) x) |
(+ 1 eps) |
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#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps)))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps))))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* x (+ 1 eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (- (* eps x) x)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 eps)))))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* x (- 1 eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 eps)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps))) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ 1 eps))) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ (+ 1 eps) eps))) |
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (* x (exp (neg x))))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 x))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (- (* eps x) x))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 x)) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (+ x (* -1 (* eps x))))) |
#s(approx (- 1 eps) #s(hole binary64 1)) |
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps))) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps))) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x)))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x)))))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 x))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 x)) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (+ x (* eps x)))) |
#s(approx (+ 1 eps) #s(hole binary64 1)) |
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)))) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1)) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps)))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps x))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) (* -1 x))))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps x)))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (* eps (+ (* -1 x) (/ x eps))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps))))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps x)))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x)))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps x))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps (+ x (/ x eps))))) |
#s(approx (+ 1 eps) #s(hole binary64 eps)) |
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) x))))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ x eps))))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps))))))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x)))))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
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x |
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#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) x #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))) x (*.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (fma.f64 (*.f64 x (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x eps) #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
#s(approx (* (- 1 eps) x) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
#s(approx x x) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (fma.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x)) x (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 1 binary64))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 1 binary64))) |
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 (fma.f64 x eps x))) |
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (*.f64 x eps) x))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) (*.f64 eps eps) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (+ 1 (/ 1 eps)) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (+ 1 (/ 1 eps)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) |
#s(approx (/ 1 eps) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx eps eps) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (neg (* (- 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (- 1 eps) x)) (-.f64 (*.f64 x eps) x)) |
#s(approx (* (- 1 eps) x) x) |
#s(approx (* (- 1 eps) x) (fma.f64 (neg.f64 eps) x x)) |
#s(approx (- 1 eps) #s(literal 1 binary64)) |
#s(approx (- 1 eps) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (- (/ 1 eps) 1) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (- (/ 1 eps) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (+ 1 eps) x)) (-.f64 (*.f64 (neg.f64 eps) x) x)) |
#s(approx (* (+ 1 eps) x) x) |
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x)) |
#s(approx (+ 1 eps) #s(literal 1 binary64)) |
#s(approx (+ 1 eps) (+.f64 eps #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) eps) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) eps) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) |
#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ 1 eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x eps) x)) eps)) |
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) x)) |
#s(approx (* (- 1 eps) x) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)) eps)) |
#s(approx (- 1 eps) (neg.f64 eps)) |
#s(approx (- 1 eps) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))) |
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) |
#s(approx (- (/ 1 eps) 1) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) x)) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps)) |
#s(approx (* (+ 1 eps) x) (*.f64 x eps)) |
#s(approx (* (+ 1 eps) x) (*.f64 (+.f64 (/.f64 x eps) x) eps)) |
#s(approx (+ 1 eps) eps) |
#s(approx (+ 1 eps) (fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) #s(literal 1/2 binary64)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) eps) #s(literal -1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) eps) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (exp (neg (* (- 1 eps) x))) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) x))) |
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) x))) |
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))) eps))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x)))) |
#s(approx (* (+ 1 eps) x) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x eps) x)))) |
Compiled 10 930 to 1 447 computations (86.8% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 8 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 266 | 8 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 32.5% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 71.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) | |
| ▶ | 32.8% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| 39.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) | |
| 39.8% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) | |
| ▶ | 59.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
| ▶ | 98.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
| ▶ | 44.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 578 to 372 computations (35.6% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(neg.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 #s(literal 1 binary64) eps) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
#s(literal -1 binary64) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) |
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
(sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(+.f64 #s(literal 1 binary64) eps) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))) (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))))))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1)) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* -1 (* x (- 1 eps)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* 1/2 (* x (pow (- 1 eps) 2)))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* x (+ (* -1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2))))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* x (- 1 eps))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps)))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- eps 1))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1)))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (* x (- 1 eps)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (/ 1 eps) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps)))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 2)) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* -1 (pow x 2))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1))))) |
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 1)) |
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (exp (neg x)) #s(hole binary64 1)) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1))))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 -1)) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* 1/2 (pow x 2)) 1))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/3 x))) 1))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* x (- (* 1/8 x) 1/3)))) 1))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* -1/2 (* (+ 1 (/ 1 eps)) (- 1 (+ eps (* -1 (- 1 eps)))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- (* -1/2 (* (- 1 eps) (- eps 1))) (* 1/2 (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1/2 (pow (- 1 eps) 2)) (pow (- 1 eps) 2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* -1/2 (* (+ 1 (/ 1 eps)) (- 1 (+ eps (* -1 (- 1 eps)))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* -1/2 (* (+ 1 (/ 1 eps)) (- 1 (+ eps (* -1 (- 1 eps)))))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- (* -1/2 (+ (* -1 (* (+ (* 1/2 (pow (- 1 eps) 2)) (* (- 1 eps) (- eps 1))) (- 1 eps))) (* 1/2 (* (pow (- 1 eps) 2) (- eps 1))))) (* 1/2 (- (* 1/6 (pow (- 1 eps) 3)) (+ (* -1 (* (+ (* -1/2 (pow (- 1 eps) 2)) (pow (- 1 eps) 2)) (- 1 eps))) (+ (* -1/6 (pow (- 1 eps) 3)) (* 1/2 (pow (- 1 eps) 3)))))))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- (* -1/2 (* (- 1 eps) (- eps 1))) (* 1/2 (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1/2 (pow (- 1 eps) 2)) (pow (- 1 eps) 2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2)) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
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| 21.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (cosh (* x (- 1 eps))) (* x (- 1 eps)) (sinh (* x (- 1 eps))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps)) |
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1362 | 13332 |
| 0 | 8496 | 13028 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (* 1/2 (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps)))))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (- (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (* 1/2 (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (* 1/2 (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (* 1/2 (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (* 1/2 (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps)))))))) (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (* 1/2 (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) #s(hole binary64 (- (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (* 1/2 (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps)))))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) #s(hole binary64 (- (+ (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (* 1/2 (/ (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps)))))) eps))) (+ (* 1/2 (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (* 1/2 (/ (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps)))))) eps)))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(hole binary64 (- (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))) (* 1/2 (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps)))))))))) |
#s(approx (cosh (* x (- 1 eps))) #s(hole binary64 (* 1/2 (+ (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))))) |
#s(approx (* x (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ x eps))))))) |
#s(approx (sinh (* x (- 1 eps))) #s(hole binary64 (* 1/2 (- (exp (* x (+ 1 (* -1 eps)))) (/ 1 (exp (* x (+ 1 (* -1 eps))))))))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x)))))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))))) |
(-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (fma.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(+.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) eps))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 #s(literal -1 binary64) x) |
(neg.f64 x) |
x |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) eps)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 #s(literal 1 binary64) eps)))) |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))) |
(-.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(+.f64 (cosh.f64 (neg.f64 (fma.f64 x eps x))) (sinh.f64 (neg.f64 (fma.f64 x eps x)))) |
(neg.f64 (fma.f64 x eps x)) |
(+.f64 (neg.f64 (*.f64 x eps)) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x eps) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x eps) (*.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x)))) |
(fma.f64 x eps x) |
(+.f64 (*.f64 x eps) x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) (*.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (fma.f64 (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) |
(pow.f64 eps #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 eps)) |
(/.f64 #s(literal 1 binary64) eps) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(-.f64 (cosh.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (sinh.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))) |
(+.f64 (cosh.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x))) (sinh.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 eps #s(literal -1 binary64)) (pow.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (fma.f64 (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))))) |
(fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) |
(-.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) |
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 x (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 x (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))) |
(-.f64 (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(+.f64 x #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(-.f64 (cosh.f64 x) (sinh.f64 x)) |
(exp.f64 (neg.f64 x)) |
(+.f64 (cosh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) |
(*.f64 (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
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(neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))) |
(+.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) |
#s(literal -1 binary64) |
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(fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) |
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(+.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) |
(cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(cosh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)) |
(sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(-.f64 (cosh.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) (sinh.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(exp.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))) |
(+.f64 (cosh.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x))) (sinh.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)))) |
(*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) eps)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) (neg.f64 x)) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps eps) (*.f64 #s(literal 1 binary64) eps)))) |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (-.f64 eps #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))))) |
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#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(literal 1 binary64)) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(literal 2 binary64)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))) |
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#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx x x) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)) |
#s(approx (exp (neg (+ (* x eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) |
#s(approx (exp (neg (+ (* x eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))) |
#s(approx (exp (neg (+ (* x eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))) |
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) |
#s(approx (+ (* x eps) x) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) |
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#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) |
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#s(approx (* (- 1 eps) x) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
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#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) |
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#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(literal 1 binary64)) |
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#s(approx (* (+ x 1) (exp (neg x))) #s(literal 1 binary64)) |
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#s(approx (* (+ x 1) (exp (neg x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
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#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (neg.f64 x))) |
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#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64)) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
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#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) |
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#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (-.f64 (*.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (-.f64 eps #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) eps) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)))))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (*.f64 x (fma.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (-.f64 eps #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) eps) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)))))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))))) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)) (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (-.f64 eps #s(literal 1 binary64)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) eps) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))))))) |
#s(approx (cosh (* x (- 1 eps))) #s(literal 1 binary64)) |
#s(approx (cosh (* x (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal 1 binary64)))))) |
#s(approx (cosh (* x (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (-.f64 eps #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal 1 binary64)))))))) |
#s(approx (cosh (* x (- 1 eps))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/2 binary64) (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (-.f64 eps #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal 1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (-.f64 eps #s(literal 1 binary64))))) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (-.f64 eps #s(literal 1 binary64))))))))))) |
#s(approx (* x (- 1 eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (sinh (* x (- 1 eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps))))) |
#s(approx (sinh (* x (- 1 eps))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps))))))) |
#s(approx (sinh (* x (- 1 eps))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) eps) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))))) |
#s(approx (sinh (* x (- 1 eps))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 4 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) eps) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 4 binary64)) #s(literal 1/8 binary64))))) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) eps) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64)))))))))))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) |
#s(approx (* (+ 1 eps) x) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (exp (neg (+ (* x eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (*.f64 eps x) x))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)) (*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))))) |
#s(approx (* (+ x 1) (exp (neg x))) (*.f64 x (exp.f64 (neg.f64 x)))) |
#s(approx (* (+ x 1) (exp (neg x))) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))))) |
#s(approx (cosh (* x (- 1 eps))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))) |
#s(approx (sinh (* x (- 1 eps))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (exp (neg (+ (* x eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) |
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 eps) #s(literal 1 binary64)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (exp (neg (* (- 1 eps) x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (-.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x)) (exp.f64 (neg.f64 x)))))) |
#s(approx (* (+ x 1) (exp (neg x))) (*.f64 x (exp.f64 (neg.f64 x)))) |
#s(approx (* (+ x 1) (exp (neg x))) (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x))))) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x))))) (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)))))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) (*.f64 x (exp.f64 (neg.f64 x)))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 eps (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))))) (*.f64 x (exp.f64 (neg.f64 x)))))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (exp.f64 (neg.f64 x))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps x) (exp.f64 (neg.f64 x))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 x (exp.f64 (neg.f64 x))))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x))))))) |
#s(approx (* (neg x) (- 1 eps)) (neg.f64 x)) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 x (+.f64 #s(literal -1 binary64) eps))) |
#s(approx (- 1 eps) #s(literal 1 binary64)) |
#s(approx (- 1 eps) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) |
#s(approx eps eps) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (*.f64 eps x) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 eps (-.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (+ (* x eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg (+ (* x eps) x))) (+.f64 (exp.f64 (neg.f64 x)) (neg.f64 (*.f64 (*.f64 eps x) (exp.f64 (neg.f64 x)))))) |
#s(approx (exp (neg (+ (* x eps) x))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))))))) |
#s(approx (exp (neg (+ (* x eps) x))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))))))) |
#s(approx (neg (+ (* x eps) x)) (neg.f64 x)) |
#s(approx (neg (+ (* x eps) x)) (-.f64 (*.f64 (neg.f64 eps) x) x)) |
#s(approx (+ (* x eps) x) x) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
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#s(approx (* (- 1 eps) x) x) |
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#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
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#s(approx (- (/ 1 eps) 1) (pow.f64 eps #s(literal -1 binary64))) |
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#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 x))) |
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#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x))))) (*.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (*.f64 x (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x))))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x))))))))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x))))) (*.f64 x (exp.f64 (neg.f64 x)))))))) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x)))))))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x))))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x))))) (*.f64 eps (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 x (exp.f64 x)) (/.f64 x (exp.f64 x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)))) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (*.f64 x (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x))))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x))))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) eps)) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x)))) (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x)))) (-.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x)))) (-.f64 (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) (-.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (*.f64 x (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x)))))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x)))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))))) |
#s(approx (cosh (* x (- 1 eps))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
#s(approx (cosh (* x (- 1 eps))) (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x)))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
#s(approx (cosh (* x (- 1 eps))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x))))))))) |
#s(approx (cosh (* x (- 1 eps))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal 1 binary64) (/.f64 x (exp.f64 x)))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 x)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (*.f64 x (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)))))))))) |
#s(approx (* x (- 1 eps)) x) |
#s(approx (* x (- 1 eps)) (+.f64 x (*.f64 (neg.f64 eps) x))) |
#s(approx (sinh (* x (- 1 eps))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
#s(approx (sinh (* x (- 1 eps))) (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
#s(approx (sinh (* x (- 1 eps))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x)))) (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x)))))))) |
#s(approx (sinh (* x (- 1 eps))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (/.f64 x (exp.f64 x))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 x)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x))))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (exp.f64 x))))))))))) |
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (+ 1 eps) x)) (-.f64 (*.f64 (neg.f64 eps) x) x)) |
#s(approx (* (+ 1 eps) x) x) |
#s(approx (* (+ 1 eps) x) (+.f64 x (*.f64 eps x))) |
#s(approx (+ 1 eps) #s(literal 1 binary64)) |
#s(approx (+ 1 eps) (+.f64 #s(literal 1 binary64) eps)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))) eps)))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 eps x)) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 eps (+.f64 x (neg.f64 (/.f64 x eps))))) |
#s(approx (- 1 eps) (neg.f64 eps)) |
#s(approx (- 1 eps) (*.f64 eps (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) x)) |
#s(approx (neg (+ (* x eps) x)) (*.f64 eps (-.f64 (neg.f64 (/.f64 x eps)) x))) |
#s(approx (+ (* x eps) x) (*.f64 eps x)) |
#s(approx (+ (* x eps) x) (*.f64 eps (+.f64 x (/.f64 x eps)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps)) (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps))) |
#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ 1 eps)) (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 eps x)) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 eps (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x eps) x)))) |
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) x)) |
#s(approx (* (- 1 eps) x) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) eps))) |
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) |
#s(approx (- (/ 1 eps) 1) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))))) eps)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) eps))) (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) eps)) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) eps))) eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) eps))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) eps))))) |
#s(approx (* x (- 1 eps)) (*.f64 (neg.f64 eps) x)) |
#s(approx (* x (- 1 eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) x)) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 eps (-.f64 (neg.f64 (/.f64 x eps)) x))) |
#s(approx (* (+ 1 eps) x) (*.f64 eps x)) |
#s(approx (* (+ 1 eps) x) (*.f64 eps (+.f64 x (/.f64 x eps)))) |
#s(approx (+ 1 eps) eps) |
#s(approx (+ 1 eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x)))) |
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 x eps))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))) eps))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) x))) |
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) (+.f64 x (neg.f64 (/.f64 x eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) eps))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) (/.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) eps))) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) (/.f64 (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) eps))))) |
#s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps)))))))) |
#s(approx (cosh (* x (- 1 eps))) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (* x (- 1 eps)) (*.f64 (neg.f64 eps) (+.f64 x (neg.f64 (/.f64 x eps))))) |
#s(approx (sinh (* x (- 1 eps))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))) (exp.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x)))) |
#s(approx (* (+ 1 eps) x) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 x (/.f64 x eps))))) |
Compiled 33 174 to 3 026 computations (90.9% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 567 | 19 | 586 |
| Fresh | 3 | 0 | 3 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 574 | 20 | 594 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| 31.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 59.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| 52.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) | |
| 59.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) | |
| 43.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| 24.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) | |
| 44.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 98.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
| ▶ | 60.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
| 59.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) | |
| 83.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| 65.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| 66.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| ▶ | 18.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))) #s(literal 1/2 binary64))) |
| 73.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) | |
| 43.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) | |
| 51.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) | |
| ▶ | 43.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
| ✓ | 44.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 2 073 to 1 321 computations (36.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))) |
(exp.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) |
(*.f64 x (-.f64 eps #s(literal 1 binary64))) |
(-.f64 eps #s(literal 1 binary64)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) eps)) |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))) #s(literal 1/2 binary64)) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))) |
(*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) |
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* -1 (- 1 eps)) (+ 1 eps))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))) (* 1/2 (- (* -1 (- 1 eps)) (+ 1 eps)))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* -1 (- 1 eps)) (+ 1 eps))) (* x (+ (* 1/2 (* x (- (* -1/6 (pow (- 1 eps) 3)) (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))) (* 1/2 (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 2)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (* -1 (- 1 eps)) (+ 1 eps)))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (- 1 eps)) (* x (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))) (+ 1 eps)))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (- 1 eps)) (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (* x (- (* -1/6 (pow (- 1 eps) 3)) (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))) (+ 1 eps)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1)) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* -1 (* x (- 1 eps)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* 1/2 (* x (pow (- 1 eps) 2)))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* x (+ (* -1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2))))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* x (- 1 eps))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 -1)) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1))) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 (+ eps (* x (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))))) 1))) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 (+ eps (* x (+ (* -1 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))))))) 1))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 1)) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps)))))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ 1 eps)))))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3)))))) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ 1 eps)))))) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 1)) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 eps))))) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 (+ eps (* 1/2 (* x (pow (+ 1 eps) 2))))))))) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 (+ eps (* x (+ (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps)))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (+ 1 (* -1/2 (* x x))) #s(hole binary64 1)) |
#s(approx (+ 1 (* -1/2 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* -1/2 (* x x)) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2)) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ 1 (* -1/2 (* x x))) (* -1/2 (* x x)) -1/2 (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* x (- (exp (neg x)) (neg (exp (neg x))))) (- (exp (neg x)) (neg (exp (neg x)))) (exp (neg x)) (neg (exp (neg x)))) |
| 21.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ 1 (* -1/2 (* x x))) (* -1/2 (* x x)) -1/2 (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* x (- (exp (neg x)) (neg (exp (neg x))))) (- (exp (neg x)) (neg (exp (neg x)))) (exp (neg x)) (neg (exp (neg x)))) |
| 7.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ 1 (* -1/2 (* x x))) (* -1/2 (* x x)) -1/2 (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* x (- (exp (neg x)) (neg (exp (neg x))))) (- (exp (neg x)) (neg (exp (neg x)))) (exp (neg x)) (neg (exp (neg x)))) |
| 5.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ 1 (* -1/2 (* x x))) (* -1/2 (* x x)) -1/2 (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* x (- (exp (neg x)) (neg (exp (neg x))))) (- (exp (neg x)) (neg (exp (neg x)))) (exp (neg x)) (neg (exp (neg x)))) |
| 4.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) 1 eps (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ 1 (* -1/2 (* x x))) (* -1/2 (* x x)) -1/2 (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (+ 1 (* x (- eps 1))) (* x (- eps 1)) (- eps 1) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* x (- (exp (neg x)) (neg (exp (neg x))))) (- (exp (neg x)) (neg (exp (neg x)))) (exp (neg x)) (neg (exp (neg x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1164 | 9044 |
| 1 | 7911 | 9044 |
| 0 | 8017 | 8567 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) |
(- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) |
(exp (* (neg x) (- 1 eps))) |
(* (neg x) (- 1 eps)) |
(neg x) |
x |
(- 1 eps) |
1 |
eps |
(neg (/ 1 (exp (+ (* x eps) x)))) |
(/ 1 (exp (+ (* x eps) x))) |
(exp (+ (* x eps) x)) |
(+ (* x eps) x) |
1/2 |
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2 |
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#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 x)) (+ (* eps (- (+ (* eps (- (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (- (* 1/6 (* (pow x 3) (exp (* -1 x)))) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (* x (exp (* -1 x)))) (/ x (exp x)))) (/ 1 (exp x)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x)))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 x))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (+ (* -1 x) (* eps x)))) |
#s(approx (- 1 eps) #s(hole binary64 1)) |
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps)))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (/ -1 (exp x)))) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (/ (* eps x) (exp x)) (/ 1 (exp x))))) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* eps (+ (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))) (/ x (exp x)))) (/ 1 (exp x))))) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* eps (+ (* eps (+ (* -1 (/ (pow x 2) (exp x))) (+ (* 1/2 (/ (pow x 2) (exp x))) (* eps (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x))))))))) (/ x (exp x)))) (/ 1 (exp x))))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (/ 1 (exp x)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ (* -1 (/ (* eps x) (exp x))) (/ 1 (exp x))))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (/ x (exp x)))) (/ 1 (exp x))))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (/ x (exp x)))) (/ 1 (exp x))))) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (exp x))) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ (exp x) (* eps (* x (exp x)))))) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ (exp x) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp x)))) (* x (exp x))))))) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ (exp x) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))) (* x (exp x))))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 x)) |
#s(approx (+ (* x eps) x) #s(hole binary64 (+ x (* eps x)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps))) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ 1 eps))) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ (+ 1 eps) eps))) |
#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (* x (exp (neg x))))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))))) |
#s(approx (+ 1 (* x (- eps 1))) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (+ 1 (* x (- eps 1))) #s(hole binary64 (+ 1 (+ (* -1 x) (* eps x))))) |
#s(approx (* x (- eps 1)) #s(hole binary64 (* -1 x))) |
#s(approx (* x (- eps 1)) #s(hole binary64 (+ (* -1 x) (* eps x)))) |
#s(approx (- eps 1) #s(hole binary64 -1)) |
#s(approx (- eps 1) #s(hole binary64 (- eps 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps))) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps))) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x)))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x)))))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x)))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))))) (* x (exp (* -1 x)))))))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg x))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (* x (exp (neg x)))) (exp (neg x))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* -1/2 (* eps (* (pow x 2) (exp (neg x))))) (* -1 (* x (exp (neg x)))))) (exp (neg x))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* eps (- (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* -1 (* x (exp (neg x)))))) (exp (neg x))))) |
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (- x 1))) |
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (- (+ x (* eps x)) 1))) |
#s(approx (* x (+ 1 eps)) #s(hole binary64 x)) |
#s(approx (* x (+ 1 eps)) #s(hole binary64 (+ x (* eps x)))) |
#s(approx (+ 1 eps) #s(hole binary64 1)) |
#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps x))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps)))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1)))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)))) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1)) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps)))) |
#s(approx (+ 1 (* x (- eps 1))) #s(hole binary64 (* eps x))) |
#s(approx (+ 1 (* x (- eps 1))) #s(hole binary64 (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps)))))) |
#s(approx (* x (- eps 1)) #s(hole binary64 (* eps x))) |
#s(approx (* x (- eps 1)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps)))))) |
#s(approx (- eps 1) #s(hole binary64 eps)) |
#s(approx (- eps 1) #s(hole binary64 (* eps (- 1 (/ 1 eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps))))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1))) |
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* eps x))) |
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* eps (- (+ x (/ x eps)) (/ 1 eps))))) |
#s(approx (* x (+ 1 eps)) #s(hole binary64 (* eps x))) |
#s(approx (* x (+ 1 eps)) #s(hole binary64 (* eps (+ x (/ x eps))))) |
#s(approx (+ 1 eps) #s(hole binary64 eps)) |
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (+ x (* eps x)))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (+ x (* eps x))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps)))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
#s(approx (+ 1 (* x (- eps 1))) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps))))))) |
#s(approx (* x (- eps 1)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps)))))) |
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))) |
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (- x 1) eps))))))) |
#s(approx (* x (+ 1 eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))))) |
| Outputs |
|---|
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(*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)) |
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#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) x #s(literal 1 binary64))) |
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#s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)) |
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#s(approx (* x (- eps 1)) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
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#s(approx (* x (+ 1 eps)) (fma.f64 x eps x)) |
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#s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)) |
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#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (neg (exp (neg x))) (neg.f64 (exp.f64 (neg.f64 x)))) |
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#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (neg.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64)))))) |
#s(approx (exp (+ (* x eps) x)) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64))))) |
#s(approx (* x (+ 1 eps)) (*.f64 (neg.f64 x) (-.f64 (neg.f64 eps) #s(literal 1 binary64)))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x) #s(literal -1/2 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (+ 1 (* x (- eps 1))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 eps #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))) |
#s(approx (* x (- (exp (neg x)) (neg (exp (neg x))))) (*.f64 (*.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 x)))) |
#s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (neg (exp (neg x))) (neg.f64 (exp.f64 (neg.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) (*.f64 eps eps) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x))) eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x))))) eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))) (fma.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) #s(literal -1/3 binary64)))) eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))))) eps (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x)))) eps (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))) (fma.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) #s(literal -1/3 binary64)))) eps (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x)))) eps (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (* (neg x) (- 1 eps)) (neg.f64 x)) |
#s(approx (* (neg x) (- 1 eps)) (fma.f64 x eps (neg.f64 x))) |
#s(approx (- 1 eps) #s(literal 1 binary64)) |
#s(approx (- 1 eps) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
#s(approx eps eps) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 x))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) eps (/.f64 x (exp.f64 x))) eps) (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) #s(literal -1/3 binary64))) eps)) eps (/.f64 x (exp.f64 x))) eps) (exp.f64 (neg.f64 x)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (*.f64 eps (/.f64 x (exp.f64 x))) #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (-.f64 (*.f64 (neg.f64 eps) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 eps) (fma.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) #s(literal -1/3 binary64)))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) eps) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (+ (* x eps) x)) (exp.f64 x)) |
#s(approx (exp (+ (* x eps) x)) (fma.f64 (*.f64 (exp.f64 x) x) eps (exp.f64 x))) |
#s(approx (exp (+ (* x eps) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (exp.f64 x) (*.f64 x x)) (*.f64 (exp.f64 x) x)) eps (exp.f64 x))) |
#s(approx (exp (+ (* x eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (exp.f64 x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x))) eps (*.f64 (exp.f64 x) x)) eps (exp.f64 x))) |
#s(approx (* x (+ 1 eps)) x) |
#s(approx (* x (+ 1 eps)) (fma.f64 x eps x)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (+ 1 (/ 1 eps)) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (+ 1 (/ 1 eps)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) |
#s(approx (/ 1 eps) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (+ 1 (* x (- eps 1))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
#s(approx (+ 1 (* x (- eps 1))) (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) |
#s(approx (* x (- eps 1)) (neg.f64 x)) |
#s(approx (* x (- eps 1)) (fma.f64 x eps (neg.f64 x))) |
#s(approx (- eps 1) #s(literal -1 binary64)) |
#s(approx (- eps 1) (-.f64 eps #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (- (/ 1 eps) 1) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (- (/ 1 eps) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))))) eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) eps (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))))) eps (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) eps)) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (*.f64 x eps) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps) (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x)))) eps) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps) (exp.f64 (neg.f64 x)))) |
#s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (* x (+ 1 eps)) 1) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))) |
#s(approx (* x (+ 1 eps)) x) |
#s(approx (* x (+ 1 eps)) (fma.f64 x eps x)) |
#s(approx (+ 1 eps) #s(literal 1 binary64)) |
#s(approx (+ 1 eps) (+.f64 eps #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps)))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) x) eps)) |
#s(approx (- 1 eps) (neg.f64 eps)) |
#s(approx (- 1 eps) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (* x (+ 1 eps)) (*.f64 x eps)) |
#s(approx (* x (+ 1 eps)) (*.f64 (+.f64 (/.f64 x eps) x) eps)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ 1 eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (+ 1 (* x (- eps 1))) (*.f64 x eps)) |
#s(approx (+ 1 (* x (- eps 1))) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) eps) x) eps)) |
#s(approx (* x (- eps 1)) (*.f64 x eps)) |
#s(approx (* x (- eps 1)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) x) eps)) |
#s(approx (- eps 1) eps) |
#s(approx (- eps 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal -1 binary64) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))) |
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) |
#s(approx (- (/ 1 eps) 1) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)) |
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) eps)) |
#s(approx (* x (+ 1 eps)) (*.f64 x eps)) |
#s(approx (* x (+ 1 eps)) (*.f64 (+.f64 (/.f64 x eps) x) eps)) |
#s(approx (+ 1 eps) eps) |
#s(approx (+ 1 eps) (*.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (* x (+ 1 eps)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x eps) x)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) eps) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (+ 1 (* x (- eps 1))) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) eps) x)))) |
#s(approx (* x (- eps 1)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
#s(approx (- eps 1) (*.f64 (neg.f64 eps) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) eps))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) eps) #s(literal -1 binary64) (neg.f64 x)))) |
#s(approx (* x (+ 1 eps)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x eps) x)))) |
Compiled 30 152 to 2 617 computations (91.3% saved)
29 alts after pruning (28 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 491 | 20 | 511 |
| Fresh | 6 | 8 | 14 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 502 | 29 | 531 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 21.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| 22.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 31.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 19.1% | (/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 59.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| 52.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) | |
| 59.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) | |
| 43.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| 24.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) | |
| ▶ | 59.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
| ▶ | 83.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
| 60.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| 83.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| 65.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| 66.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| ▶ | 49.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
| 3.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) #s(approx (neg (exp (neg x))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) | |
| 2.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) | |
| 10.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) | |
| 2.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) | |
| 18.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) | |
| 2.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) | |
| 73.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 43.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 51.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 43.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| 22.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) | |
| ▶ | 1.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
| ✓ | 44.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 3 251 to 1 989 computations (38.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)) |
(*.f64 x eps) |
x |
eps |
(neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))) |
#s(literal 1 binary64) |
(exp.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
#s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) eps)) |
(+.f64 #s(literal 1 binary64) eps) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(-.f64 eps #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(neg.f64 x) |
(-.f64 #s(literal 1 binary64) eps) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64))) |
#s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* -1 (- 1 eps)) (+ 1 eps))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))) (* 1/2 (- (* -1 (- 1 eps)) (+ 1 eps)))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* -1 (- 1 eps)) (+ 1 eps))) (* x (+ (* 1/2 (* x (- (* -1/6 (pow (- 1 eps) 3)) (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))) (* 1/2 (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 2)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (* -1 (- 1 eps)) (+ 1 eps)))))) |
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#s(approx (+ 1 eps) #s(hole binary64 eps)) |
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#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
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#s(approx (* (- eps 1) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps)))))) |
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1))))) |
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#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps))))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* x eps) x eps (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) 1 (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ 1 (* -1/2 (* x x))) (* (* x x) -1/2) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (* (* (- eps 1) x) (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (- 1 (* (- eps 1) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (- 1 eps) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) -1) |
| 6.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* x eps) x eps (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) 1 (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ 1 (* -1/2 (* x x))) (* (* x x) -1/2) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (* (* (- eps 1) x) (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (- 1 (* (- eps 1) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (- 1 eps) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) -1) |
| 6.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* x eps) x eps (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) 1 (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ 1 (* -1/2 (* x x))) (* (* x x) -1/2) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (* (* (- eps 1) x) (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (- 1 (* (- eps 1) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (- 1 eps) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) -1) |
| 5.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* x eps) x eps (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) 1 (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ 1 (* -1/2 (* x x))) (* (* x x) -1/2) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (* (* (- eps 1) x) (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (- 1 (* (- eps 1) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (- 1 eps) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) -1) |
| 5.0ms | eps | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* x eps) x eps (neg (/ 1 (exp (+ (* x eps) x)))) (/ 1 (exp (+ (* x eps) x))) 1 (exp (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ 1 (* -1/2 (* x x))) (* (* x x) -1/2) (* x x) -1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (* (* (- eps 1) x) (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (- 1 (* (- eps 1) x)) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (- 1 eps) (neg (exp (neg (+ (* x eps) x)))) (- (* x (+ 1 eps)) 1) -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1314 | 9868 |
| 0 | 9043 | 9528 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* (- (exp #s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* x eps)))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2))) |
(* (- (exp #s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* x eps)))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) |
(- (exp #s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* x eps)))) (neg (/ 1 (exp (+ (* x eps) x))))) |
(exp #s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* x eps)))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* x eps))) |
(* x eps) |
x |
eps |
(neg (/ 1 (exp (+ (* x eps) x)))) |
(/ 1 (exp (+ (* x eps) x))) |
1 |
(exp (+ (* x eps) x)) |
(+ (* x eps) x) |
1/2 |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 #s(approx (+ 1 (* -1/2 (* x x))) #s(hole binary64 (* (* x x) -1/2))))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 #s(approx (+ 1 (* -1/2 (* x x))) #s(hole binary64 (* (* x x) -1/2))))) |
#s(approx (+ 1 (* -1/2 (* x x))) #s(hole binary64 (* (* x x) -1/2))) |
(* (* x x) -1/2) |
(* x x) |
-1/2 |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* (- #s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))) 1/2))) |
(* (- #s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))) 1/2) |
(- #s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1)))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1))) |
(- (* x (+ 1 eps)) 1) |
(* x (+ 1 eps)) |
(+ 1 eps) |
(/ (- (* (+ 1 (/ 1 eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x)))))) (* (- (/ 1 eps) 1) #s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1)))) 2) |
(- (* (+ 1 (/ 1 eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x)))))) (* (- (/ 1 eps) 1) #s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1)))) |
(* (+ 1 (/ 1 eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x)))))) |
(+ 1 (/ 1 eps)) |
(/ 1 eps) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))))) |
(/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) |
(- 1 (* (* (- eps 1) x) (* (- eps 1) x))) |
(* (* (- eps 1) x) (* (- eps 1) x)) |
(* (- eps 1) x) |
(- eps 1) |
(- 1 (* (- eps 1) x)) |
(* (- (/ 1 eps) 1) #s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1))) |
(- (/ 1 eps) 1) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1)) |
2 |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* (- (exp (* (neg x) (- 1 eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 #s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 -1))))) 1/2))) |
(* (- (exp (* (neg x) (- 1 eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 #s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 -1))))) 1/2) |
(- (exp (* (neg x) (- 1 eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 #s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 -1))))) |
(exp (* (neg x) (- 1 eps))) |
(* (neg x) (- 1 eps)) |
(neg x) |
(- 1 eps) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 #s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 -1)))) |
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 -1)) |
-1 |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* -1 (- 1 eps)) (+ 1 eps))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))) (* 1/2 (- (* -1 (- 1 eps)) (+ 1 eps)))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* -1 (- 1 eps)) (+ 1 eps))) (* x (+ (* 1/2 (* x (- (* -1/6 (pow (- 1 eps) 3)) (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))) (* 1/2 (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 2)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (* -1 (- 1 eps)) (+ 1 eps)))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (- 1 eps)) (* x (- (* 1/2 (pow (- 1 eps) 2)) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))) (+ 1 eps)))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (- 1 eps)) (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (* x (- (* -1/6 (pow (- 1 eps) 3)) (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2)))))) (+ 1 eps)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1)) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* -1 (* x (- 1 eps)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* 1/2 (* x (pow (- 1 eps) 2)))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* x (+ (* -1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2))))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* x (- 1 eps))))) |
#s(approx (* x eps) #s(hole binary64 (* eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 -1)) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1))) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 (+ eps (* x (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))))) 1))) |
#s(approx (neg (/ 1 (exp (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 (+ eps (* x (+ (* -1 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3))))))))))) 1))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 1)) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps)))))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ 1 eps)))))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ 1 eps) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ (* -1/2 (pow (+ 1 eps) 3)) (* 1/6 (pow (+ 1 eps) 3)))))) (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow (+ 1 eps) 2))))) (+ 1 eps)))))) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 1)) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 eps))))) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 (+ eps (* 1/2 (* x (pow (+ 1 eps) 2))))))))) |
#s(approx (exp (+ (* x eps) x)) #s(hole binary64 (+ 1 (* x (+ 1 (+ eps (* x (+ (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps)))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (+ 1 (* -1/2 (* x x))) #s(hole binary64 1)) |
#s(approx (+ 1 (* -1/2 (* x x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (* x x) -1/2) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
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#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))) (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2)) |
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#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))))))))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1)) |
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#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1)) |
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#s(approx (neg x) #s(hole binary64 (* -1 x))) |
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#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (- 1 eps)))))) |
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#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (* x (exp (neg x))))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x)))))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (/ (- 1 (pow x 2)) (- 1 (* -1 x))))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (- (+ (* eps (- (* 2 (/ (pow x 2) (- 1 (* -1 x)))) (* -1 (/ (* x (- 1 (pow x 2))) (pow (- 1 (* -1 x)) 2))))) (/ 1 (- 1 (* -1 x)))) (/ (pow x 2) (- 1 (* -1 x)))))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (- (+ (* eps (- (+ (* 2 (/ (pow x 2) (- 1 (* -1 x)))) (* eps (- (* -1 (/ (pow x 2) (- 1 (* -1 x)))) (* -1 (/ (* x (- (* 2 (/ (pow x 2) (- 1 (* -1 x)))) (* -1 (/ (* x (- 1 (pow x 2))) (pow (- 1 (* -1 x)) 2))))) (- 1 (* -1 x))))))) (* -1 (/ (* x (- 1 (pow x 2))) (pow (- 1 (* -1 x)) 2))))) (/ 1 (- 1 (* -1 x)))) (/ (pow x 2) (- 1 (* -1 x)))))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (- (+ (* eps (- (+ (* 2 (/ (pow x 2) (- 1 (* -1 x)))) (* eps (- (+ (* -1 (/ (pow x 2) (- 1 (* -1 x)))) (/ (* eps (* x (- (* -1 (/ (pow x 2) (- 1 (* -1 x)))) (* -1 (/ (* x (- (* 2 (/ (pow x 2) (- 1 (* -1 x)))) (* -1 (/ (* x (- 1 (pow x 2))) (pow (- 1 (* -1 x)) 2))))) (- 1 (* -1 x))))))) (- 1 (* -1 x)))) (* -1 (/ (* x (- (* 2 (/ (pow x 2) (- 1 (* -1 x)))) (* -1 (/ (* x (- 1 (pow x 2))) (pow (- 1 (* -1 x)) 2))))) (- 1 (* -1 x))))))) (* -1 (/ (* x (- 1 (pow x 2))) (pow (- 1 (* -1 x)) 2))))) (/ 1 (- 1 (* -1 x)))) (/ (pow x 2) (- 1 (* -1 x)))))) |
#s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(hole binary64 (- 1 (pow x 2)))) |
#s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(hole binary64 (- (+ 1 (* 2 (* eps (pow x 2)))) (pow x 2)))) |
#s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(hole binary64 (- (+ 1 (* eps (- (* -1 (* eps (pow x 2))) (* -2 (pow x 2))))) (pow x 2)))) |
#s(approx (* (* (- eps 1) x) (* (- eps 1) x)) #s(hole binary64 (pow x 2))) |
#s(approx (* (* (- eps 1) x) (* (- eps 1) x)) #s(hole binary64 (+ (* -2 (* eps (pow x 2))) (pow x 2)))) |
#s(approx (* (* (- eps 1) x) (* (- eps 1) x)) #s(hole binary64 (+ (* eps (+ (* -2 (pow x 2)) (* eps (pow x 2)))) (pow x 2)))) |
#s(approx (* (- eps 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (* (- eps 1) x) #s(hole binary64 (+ (* -1 x) (* eps x)))) |
#s(approx (- eps 1) #s(hole binary64 -1)) |
#s(approx (- eps 1) #s(hole binary64 (- eps 1))) |
#s(approx (- 1 (* (- eps 1) x)) #s(hole binary64 (- 1 (* -1 x)))) |
#s(approx (- 1 (* (- eps 1) x)) #s(hole binary64 (- (+ 1 (* -1 (* eps x))) (* -1 x)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps))) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ 1 eps))) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x)))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x)))))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))))) |
#s(approx (- 1 eps) #s(hole binary64 1)) |
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps x))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps)))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps))))) |
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* eps x))) |
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* eps (- (+ x (/ x eps)) (/ 1 eps))))) |
#s(approx (* x (+ 1 eps)) #s(hole binary64 (* eps x))) |
#s(approx (* x (+ 1 eps)) #s(hole binary64 (* eps (+ x (/ x eps))))) |
#s(approx (+ 1 eps) #s(hole binary64 eps)) |
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)))) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1)) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps)))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (* eps x))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (* eps (- (+ x (* -2 (/ x eps))) (* -1 (/ (- 1 (* -1 x)) eps)))))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (* eps (- (+ x (+ (* -2 (/ x eps)) (* -1 (/ (- 1 (pow x 2)) (* (pow eps 2) x))))) (+ (* -1 (/ (* (- 1 (* -1 x)) (- (* -2 x) (* -1 (- 1 (* -1 x))))) (* (pow eps 2) x))) (* -1 (/ (- 1 (* -1 x)) eps))))))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (* eps (- (+ x (+ (* -2 (/ x eps)) (+ (* -1 (/ (- 1 (pow x 2)) (* (pow eps 2) x))) (/ (* (- 1 (* -1 x)) (- (* -1 (/ (- 1 (pow x 2)) x)) (* -1 (/ (* (- 1 (* -1 x)) (- (* -2 x) (* -1 (- 1 (* -1 x))))) x)))) (* (pow eps 3) x))))) (+ (* -1 (/ (* (- 1 (* -1 x)) (- (* -2 x) (* -1 (- 1 (* -1 x))))) (* (pow eps 2) x))) (* -1 (/ (- 1 (* -1 x)) eps))))))) |
#s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(hole binary64 (* -1 (* (pow eps 2) (pow x 2))))) |
#s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(hole binary64 (* (pow eps 2) (- (* 2 (/ (pow x 2) eps)) (pow x 2))))) |
#s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) (+ (* -2 (/ (pow x 2) eps)) (+ (/ (pow x 2) (pow eps 2)) (pow x 2))))))) |
#s(approx (* (* (- eps 1) x) (* (- eps 1) x)) #s(hole binary64 (* (pow eps 2) (pow x 2)))) |
#s(approx (* (* (- eps 1) x) (* (- eps 1) x)) #s(hole binary64 (* (pow eps 2) (+ (* -2 (/ (pow x 2) eps)) (pow x 2))))) |
#s(approx (* (* (- eps 1) x) (* (- eps 1) x)) #s(hole binary64 (* (pow eps 2) (+ (* -2 (/ (pow x 2) eps)) (+ (/ (pow x 2) (pow eps 2)) (pow x 2)))))) |
#s(approx (* (- eps 1) x) #s(hole binary64 (* eps x))) |
#s(approx (* (- eps 1) x) #s(hole binary64 (* eps (+ x (* -1 (/ x eps)))))) |
#s(approx (- eps 1) #s(hole binary64 eps)) |
#s(approx (- eps 1) #s(hole binary64 (* eps (- 1 (/ 1 eps))))) |
#s(approx (- 1 (* (- eps 1) x)) #s(hole binary64 (* -1 (* eps x)))) |
#s(approx (- 1 (* (- eps 1) x)) #s(hole binary64 (* eps (- (/ 1 eps) (+ x (* -1 (/ x eps))))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps))))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (+ x (* eps x)))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ 1 (exp (+ x (* eps x))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps)))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))) |
#s(approx (- (* x (+ 1 eps)) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (- x 1) eps))))))) |
#s(approx (* x (+ 1 eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (- (* -2 x) (* -1 (- 1 (* -1 x)))) eps))))))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (/ 1 x) (+ x (/ (* (- 1 (* -1 x)) (- (* -2 x) (* -1 (- 1 (* -1 x))))) x))) eps))) (* -1 (- 1 (* -1 x)))) eps))))))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (- (+ (* -2 x) (* -1 (/ (- (+ (/ 1 x) (/ (* (- 1 (* -1 x)) (- (/ 1 x) (+ x (/ (* (- 1 (* -1 x)) (- (* -2 x) (* -1 (- 1 (* -1 x))))) x)))) (* eps x))) (+ x (/ (* (- 1 (* -1 x)) (- (* -2 x) (* -1 (- 1 (* -1 x))))) x))) eps))) (* -1 (- 1 (* -1 x)))) eps))))))) |
#s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(hole binary64 (* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow x 2)) eps)) (* 2 (pow x 2))) eps)) (pow x 2))))) |
#s(approx (* (* (- eps 1) x) (* (- eps 1) x)) #s(hole binary64 (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (pow x 2) eps)) (* 2 (pow x 2))) eps)) (pow x 2))))) |
#s(approx (* (- eps 1) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps)))))) |
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1))))) |
#s(approx (- 1 (* (- eps 1) x)) #s(hole binary64 (* -1 (* eps (- (* -1 (/ (- 1 (* -1 x)) eps)) (* -1 x)))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps))))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) (+.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) #s(literal 3 binary64))) (fma.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) (*.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))))))) |
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
(exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) |
(+.f64 (cosh.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (sinh.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)) |
(*.f64 x eps) |
(*.f64 eps x) |
x |
eps |
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (fma.f64 x eps x)))) |
(neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x eps x)))) |
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))) |
(-.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(+.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
#s(literal 1 binary64) |
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 x)) |
(*.f64 (exp.f64 x) (exp.f64 (*.f64 x eps))) |
(exp.f64 (fma.f64 x eps x)) |
(+.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x))) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 eps #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x eps) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 x (*.f64 x eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x eps) (*.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x (*.f64 x eps))))) |
(fma.f64 x eps x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x eps)) |
(fma.f64 eps x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x eps)) |
(-.f64 x (*.f64 (neg.f64 eps) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x eps)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x eps)) |
(+.f64 (*.f64 x eps) x) |
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#s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) |
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#s(approx (/ 1 (exp (+ (* x eps) x))) #s(literal 1 binary64)) |
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#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 1 binary64))) |
#s(approx (neg x) (neg.f64 x)) |
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#s(approx (exp (* (neg x) (- 1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) |
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#s(approx (exp (* (neg x) (- 1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 eps #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64)))) |
#s(approx (- 1 (* (- eps 1) x)) (*.f64 (fma.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) x)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))))) |
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#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x))) eps (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))) |
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#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))) (fma.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) #s(literal -1/3 binary64)))) eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))))) eps (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x))) #s(literal 1/2 binary64))) eps (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x)))) eps (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))) (fma.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) #s(literal -1/3 binary64)))) eps (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) eps (-.f64 (*.f64 (exp.f64 (neg.f64 x)) x) (/.f64 x (exp.f64 x)))) eps (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (* (neg x) (- 1 eps)) (neg.f64 x)) |
#s(approx (* (neg x) (- 1 eps)) (fma.f64 x eps (neg.f64 x))) |
#s(approx eps eps) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 x))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 x))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) eps (/.f64 x (exp.f64 x))) eps) (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64) (*.f64 (fma.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) #s(literal -1/3 binary64))) eps)) eps (/.f64 x (exp.f64 x))) eps) (exp.f64 (neg.f64 x)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (*.f64 eps (/.f64 x (exp.f64 x))) #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (-.f64 (*.f64 (neg.f64 eps) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 eps) (fma.f64 (neg.f64 x) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 x)) #s(literal -1/3 binary64)))) (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) #s(literal -1/2 binary64))) eps) (/.f64 x (exp.f64 x))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (+ (* x eps) x)) (exp.f64 x)) |
#s(approx (exp (+ (* x eps) x)) (fma.f64 (*.f64 (exp.f64 x) x) eps (exp.f64 x))) |
#s(approx (exp (+ (* x eps) x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (exp.f64 x) (*.f64 x x)) (*.f64 (exp.f64 x) x)) eps (exp.f64 x))) |
#s(approx (exp (+ (* x eps) x)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (exp.f64 x) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x))) eps (*.f64 (exp.f64 x) x)) eps (exp.f64 x))) |
#s(approx (* x (+ 1 eps)) x) |
#s(approx (* x (+ 1 eps)) (fma.f64 x eps x)) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) eps (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))))) eps (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) eps (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))))) eps (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) eps (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
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#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (*.f64 x eps) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
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#s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (* x (+ 1 eps)) 1) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))) |
#s(approx (* x (+ 1 eps)) x) |
#s(approx (* x (+ 1 eps)) (fma.f64 x eps x)) |
#s(approx (+ 1 eps) #s(literal 1 binary64)) |
#s(approx (+ 1 eps) (+.f64 eps #s(literal 1 binary64))) |
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#s(approx (* (- eps 1) x) (*.f64 x eps)) |
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#s(approx (- eps 1) eps) |
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#s(approx (- 1 (* (- eps 1) x)) (*.f64 (-.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) x) (/.f64 (neg.f64 x) eps)) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps))) |
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) |
#s(approx (- (/ 1 eps) 1) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (- 1 eps) (neg.f64 eps)) |
#s(approx (- 1 eps) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
#s(approx (* x (+ 1 eps)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x eps) x)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (/ 1 (exp (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) eps) #s(literal -1 binary64) (neg.f64 x)))) |
#s(approx (* x (+ 1 eps)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x eps) x)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) eps) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 x)))) eps) #s(literal -1 binary64) (neg.f64 x)))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 x)))) x) x)) eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)))) eps) #s(literal -1 binary64) (neg.f64 x)))) |
#s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) eps) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 x)))) x) x)) x) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 x)))) x) x)) eps))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)))) eps) #s(literal -1 binary64) (neg.f64 x)))) |
#s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) eps) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) eps)) (*.f64 x x)) (*.f64 eps eps))) |
#s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (*.f64 (fma.f64 x x (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 x x) eps))) eps))) (*.f64 eps eps))) |
#s(approx (* (- eps 1) x) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
#s(approx (- eps 1) (*.f64 (neg.f64 eps) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 x)) eps) x)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) eps))) |
#s(approx (/ 1 (exp (+ (* x eps) x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) |
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
Compiled 32 096 to 2 893 computations (91% saved)
38 alts after pruning (36 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 485 | 18 | 503 |
| Fresh | 5 | 18 | 23 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 494 | 38 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| 21.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 20.2% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 21.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 28.1% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 8.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 15.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 21.5% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 16.5% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 22.6% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 31.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 19.1% | (/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 59.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| 52.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) | |
| 59.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) | |
| 43.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| 24.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) | |
| 83.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) | |
| 83.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64))) | |
| 60.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 #s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/2 binary64))) | |
| 60.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) | |
| 65.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| 66.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| 50.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) | |
| 52.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| 50.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| 43.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) | |
| 16.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) | |
| 2.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) | |
| 10.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) | |
| 2.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) | |
| 18.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) | |
| 2.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) | |
| 73.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 43.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 51.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 43.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 1.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
| ✓ | 44.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 5 733 to 1 762 computations (69.3% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) #s(approx (neg (exp (neg x))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 #s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) |
4 calls:
| 19.0ms | x |
| 16.0ms | eps |
| 15.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 12.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 98.3% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 98.3% | 1 | x |
| 100.0% | 2 | eps |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) #s(approx (neg (exp (neg x))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 #s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
4 calls:
| 17.0ms | eps |
| 14.0ms | x |
| 12.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 11.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 98.3% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 98.3% | 1 | x |
| 98.3% | 1 | eps |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) #s(approx (neg (exp (neg x))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 #s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
4 calls:
| 15.0ms | eps |
| 13.0ms | x |
| 13.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 10.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 98.3% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 89.2% | 3 | x |
| 98.3% | 2 | eps |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) #s(approx (neg (exp (neg x))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 #s(approx (/ 1 (exp (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
4 calls:
| 14.0ms | eps |
| 13.0ms | x |
| 11.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 10.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 4 | x |
| 82.0% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 82.0% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 83.2% | 3 | eps |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) #s(approx (neg (exp (neg x))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 4 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) #s(approx (neg (exp (neg x))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
1 calls:
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 4 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) #s(approx (neg (exp (neg x))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
4 calls:
| 10.0ms | eps |
| 10.0ms | x |
| 9.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 7.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 2 | eps |
| 75.0% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 75.0% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 84.5% | 5 | x |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) #s(approx (neg (exp (neg x))) #s(literal -1 binary64))))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 5 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
2 calls:
| 9.0ms | x |
| 9.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 2 | eps |
| 79.2% | 4 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) (*.f64 (neg.f64 eps) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (fma.f64 x eps (neg.f64 x))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) #s(approx (* (* (- eps 1) x) (* (- eps 1) x)) (fma.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) eps)) eps (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
4 calls:
| 11.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 9.0ms | eps |
| 8.0ms | x |
| 7.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.3% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 57.3% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 76.9% | 5 | x |
| 61.7% | 3 | eps |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (+ 1 (* x (- eps 1))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(approx (/ (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) (- 1 (* (- eps 1) x))) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 #s(approx (- 1 (* (* (- eps 1) x) (* (- eps 1) x))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))))) (*.f64 #s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(approx (- 1 (* (- eps 1) x)) #s(literal 1 binary64))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.9% | 4 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 x eps x) (fma.f64 x eps x)) #s(literal 1 binary64)) (fma.f64 (+.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) #s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.7% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
2 calls:
| 6.0ms | x |
| 4.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 2 | eps |
| 58.6% | 2 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
4 calls:
| 3.0ms | x |
| 3.0ms | eps |
| 2.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | eps |
| 50.3% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 50.3% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 50.3% | 1 | x |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
4 calls:
| 3.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 3.0ms | x |
| 3.0ms | eps |
| 2.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 50.7% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 47.8% | 2 | eps |
| 51.0% | 2 | x |
Compiled 58 to 40 computations (31% saved)
Total -27.4b remaining (-76.9%)
Threshold costs -27.4b (-76.9%)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(approx (+ 1 (* -1/2 (* x x))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
4 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.4% | 1 | eps |
| 44.4% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 44.4% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 44.4% | 1 | x |
Compiled 58 to 40 computations (31% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.0004739483861813202 | 3.9518113120669667 |
| 14.0ms | 128× | 0 | valid |
| 3.0ms | 19× | 0 | exit |
Compiled 824 to 528 computations (35.9% saved)
ival-mult: 3.0ms (23% of total)ival-sub: 3.0ms (23% of total)ival-div: 2.0ms (15.4% of total)ival-exp: 2.0ms (15.4% of total)ival-add: 1.0ms (7.7% of total)ival-neg: 1.0ms (7.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0004739483861813202 | 3.9518113120669667 |
Compiled 872 to 584 computations (33% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 1.3004818357811194e+195 | 1.7314763122853564e+214 |
| 39.0ms | 5.324574076558487e-11 | 6.807129536020656 |
| 13.0ms | -6.0243172201253205e-285 | -3.2341080683153514e-289 |
| 31.0ms | 288× | 0 | valid |
| 25.0ms | 80× | 1 | valid |
Compiled 2 797 to 1 773 computations (36.6% saved)
ival-exp: 11.0ms (24% of total)ival-mult: 9.0ms (19.6% of total)ival-sub: 6.0ms (13.1% of total)ival-div: 6.0ms (13.1% of total)adjust: 5.0ms (10.9% of total)ival-add: 4.0ms (8.7% of total)ival-neg: 3.0ms (6.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.3004818357811194e+195 | 1.7314763122853564e+214 |
| 9.0ms | 6.356734931857727e+102 | 1.2677856975537958e+103 |
| 8.0ms | -6.129684032529893e-296 | -1.877263292859959e-296 |
| 9.0ms | 82× | 0 | valid |
| 4.0ms | 14× | 1 | valid |
Compiled 1 890 to 1 214 computations (35.8% saved)
ival-div: 2.0ms (19.9% of total)ival-mult: 2.0ms (19.9% of total)ival-exp: 2.0ms (19.9% of total)ival-add: 1.0ms (9.9% of total)ival-sub: 1.0ms (9.9% of total)adjust: 1.0ms (9.9% of total)ival-neg: 1.0ms (9.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.3004818357811194e+195 | 1.7314763122853564e+214 |
| 1.0ms | 6.356734931857727e+102 | 1.2677856975537958e+103 |
| 1.0ms | -6.129684032529893e-296 | -1.877263292859959e-296 |
Compiled 1 930 to 1 214 computations (37.1% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.3004818357811194e+195 | 1.7314763122853564e+214 |
| 1.0ms | 6.356734931857727e+102 | 1.2677856975537958e+103 |
| 28.0ms | -6.0243172201253205e-285 | -3.2341080683153514e-289 |
| 84.0ms | -173201183584466.06 | -356607266.070829 |
| 72.0ms | 82× | 1 | valid |
| 19.0ms | 174× | 0 | valid |
| 6.0ms | 53× | 0 | exit |
Compiled 3 718 to 2 392 computations (35.7% saved)
ival-exp: 54.0ms (62% of total)ival-mult: 9.0ms (10.3% of total)ival-div: 6.0ms (6.9% of total)ival-sub: 5.0ms (5.7% of total)adjust: 5.0ms (5.7% of total)ival-neg: 3.0ms (3.4% of total)ival-add: 3.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 4× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 2.3161168113062434e+232 | 1.8561422037976782e+241 |
| 1.0ms | 6.356734931857727e+102 | 1.2677856975537958e+103 |
| 2.0ms | -6.0243172201253205e-285 | -3.2341080683153514e-289 |
| 2.0ms | -173201183584466.06 | -356607266.070829 |
| 18.0ms | 144× | 0 | valid |
Compiled 3 442 to 2 291 computations (33.4% saved)
ival-mult: 3.0ms (26.4% of total)ival-div: 2.0ms (17.6% of total)ival-exp: 2.0ms (17.6% of total)ival-sub: 2.0ms (17.6% of total)ival-add: 1.0ms (8.8% of total)ival-neg: 1.0ms (8.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 3.7518614056594894e+198 | 1.2277314127924394e+200 |
| 12.0ms | 112× | 0 | valid |
Compiled 858 to 570 computations (33.6% saved)
ival-div: 2.0ms (21.9% of total)ival-mult: 2.0ms (21.9% of total)ival-exp: 1.0ms (10.9% of total)ival-add: 1.0ms (10.9% of total)ival-sub: 1.0ms (10.9% of total)ival-neg: 1.0ms (10.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 1.3004818357811194e+195 | 1.7314763122853564e+214 |
| 114.0ms | 6.807129536020656 | 37629813819.5645 |
| 11.0ms | -8.686788861352674e-215 | -1.8250581140730137e-221 |
| 53.0ms | -173201183584466.06 | -356607266.070829 |
| 116.0ms | 97× | 1 | valid |
| 62.0ms | 315× | 0 | valid |
| 2.0ms | 4× | 2 | valid |
Compiled 2 967 to 1 939 computations (34.6% saved)
ival-neg: 53.0ms (31.6% of total)ival-exp: 43.0ms (25.6% of total)ival-sub: 34.0ms (20.3% of total)ival-mult: 12.0ms (7.2% of total)ival-add: 9.0ms (5.4% of total)ival-div: 8.0ms (4.8% of total)adjust: 7.0ms (4.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.3004818357811194e+195 | 1.7314763122853564e+214 |
| 37.0ms | 6.807129536020656 | 37629813819.5645 |
| 1.0ms | -8.686788861352674e-215 | -1.8250581140730137e-221 |
Compiled 1 887 to 1 273 computations (32.5% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -8.686788861352674e-215 | -1.8250581140730137e-221 |
Compiled 404 to 261 computations (35.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | -6.866264437962241e-177 | -3.5423949438457826e-180 |
| 22.0ms | 64× | 1 | valid |
| 16.0ms | 64× | 0 | valid |
Compiled 992 to 632 computations (36.3% saved)
ival-sub: 5.0ms (20.3% of total)ival-mult: 5.0ms (20.3% of total)adjust: 4.0ms (16.2% of total)ival-exp: 4.0ms (16.2% of total)ival-div: 3.0ms (12.2% of total)ival-neg: 2.0ms (8.1% of total)ival-add: 2.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | -7.982925485798619 | -0.05236939720535058 |
| 32.0ms | 53× | 1 | valid |
| 6.0ms | 59× | 0 | valid |
Compiled 683 to 451 computations (34% saved)
ival-mult: 16.0ms (48.1% of total)ival-exp: 5.0ms (15% of total)adjust: 4.0ms (12% of total)ival-sub: 2.0ms (6% of total)ival-div: 2.0ms (6% of total)ival-add: 2.0ms (6% of total)ival-neg: 1.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 210 | 2421 |
| 1 | 376 | 2383 |
| 2 | 742 | 2271 |
| 3 | 2543 | 2223 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 eps #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(if (<=.f64 eps #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal -5486124068793689/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 7656119366529843/1125899906842624 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 28000000000000001951624644094652736559415940244250327568463420687555352823025749465701735220009069758434090414231022549337764398142178326575500920922994317492056893598616539651121705028249060376576 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(if (<=.f64 x #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 28000000000000001951624644094652736559415940244250327568463420687555352823025749465701735220009069758434090414231022549337764398142178326575500920922994317492056893598616539651121705028249060376576 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(if (<=.f64 x #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 28000000000000001951624644094652736559415940244250327568463420687555352823025749465701735220009069758434090414231022549337764398142178326575500920922994317492056893598616539651121705028249060376576 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(if (<=.f64 x #s(literal -360000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal -8036314553897005/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 28000000000000001951624644094652736559415940244250327568463420687555352823025749465701735220009069758434090414231022549337764398142178326575500920922994317492056893598616539651121705028249060376576 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) |
(if (<=.f64 x #s(literal -360000000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal -8036314553897005/1339385758982834151185531311325002263201756014631917009304687985462938813906170153116497973519619822659493341146941433531483931607115392554498072196837321850491820971853028873177634325632796392734744272769130809372947742658424845944895692993259632864321399559710817770957553728956578048354650708508672 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 850000000000000084727312135175746637550404829760623669654297469820816124962461107618288989821469915949421236887283485579420904812710512672945539508564207596291172722590654488674374088877866512671863436497826973845558171802163951863595008 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) |
(if (<=.f64 eps #s(literal 52000000000000002505262139883310124228711596646620286468360854637785531358219100656881435701792475208142323853267332789324761036244632609874209534517356335158045704282121653470438702935026829168214016 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal -520000000 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x) (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) #s(approx (* (- eps 1) x) (neg.f64 x)))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal -3974446316289815/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 360 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 239999999999999995076831682191853165260108130495074441710986631666709323234547133796157019931789650498605969381873287590990392049900127302067441827032801712311076382898361326219476136562546301917391526821888 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))))) |
(if (<=.f64 x #s(literal -3974446316289815/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 360 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 239999999999999995076831682191853165260108130495074441710986631666709323234547133796157019931789650498605969381873287590990392049900127302067441827032801712311076382898361326219476136562546301917391526821888 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))))) |
(if (<=.f64 x #s(literal -3974446316289815/198722315814490743699069374523200327072881410190937166225798660867334521943856241450352436330066749177662429529232777370389962245646696242104868771205271185818170236930668787910433956560844600937633663896795708000114284397288455405568 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -1751977197166923/145998099763910246996517491382409322396583312231953917778534160572776805350677676368189209962155884792916553906355021033942038551084014015944085162231110854024063829579528478402651974151891320832 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x #s(approx (+ 1 eps) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 x #s(literal -1080863910568919/2251799813685248 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(approx (- (* x (+ 1 eps)) 1) (*.f64 x eps)))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 eps #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (neg.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 eps #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (/.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) |
(if (<=.f64 eps #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)))) |
(if (<=.f64 eps #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal -5486124068793689/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 7656119366529843/1125899906842624 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 28000000000000001951624644094652736559415940244250327568463420687555352823025749465701735220009069758434090414231022549337764398142178326575500920922994317492056893598616539651121705028249060376576 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(if (<=.f64 x #s(literal -5486124068793689/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 7656119366529843/1125899906842624 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 28000000000000001951624644094652736559415940244250327568463420687555352823025749465701735220009069758434090414231022549337764398142178326575500920922994317492056893598616539651121705028249060376576 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(if (<=.f64 x #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 28000000000000001951624644094652736559415940244250327568463420687555352823025749465701735220009069758434090414231022549337764398142178326575500920922994317492056893598616539651121705028249060376576 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(if (<=.f64 x #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 28000000000000001951624644094652736559415940244250327568463420687555352823025749465701735220009069758434090414231022549337764398142178326575500920922994317492056893598616539651121705028249060376576 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(if (<=.f64 x #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 28000000000000001951624644094652736559415940244250327568463420687555352823025749465701735220009069758434090414231022549337764398142178326575500920922994317492056893598616539651121705028249060376576 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))))) |
(if (<=.f64 x #s(literal -3681675540198023/184083777009901148951480851536796132722480842643692193047992403105518260024832986247893480778145316885626996612988306798242600723265962621432675768974821503362834322867062256922933472871676000378319956942935045907290266298718681990629287025193807090855270922941016369397705979841003229496151404881535205516509184 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (- (cosh (* x (- 1 eps))) (sinh (* x (- 1 eps)))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) (if (or (<=.f64 x #s(literal 12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) (not (<=.f64 x #s(literal 28000000000000001951624644094652736559415940244250327568463420687555352823025749465701735220009069758434090414231022549337764398142178326575500920922994317492056893598616539651121705028249060376576 binary64)))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 x #s(approx (- (exp (neg x)) (neg (exp (neg x)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
| 1× | fuel |
Compiled 2 510 to 213 computations (91.5% saved)
Compiled 5 690 to 716 computations (87.4% saved)
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