
Time bar (total: 10.8s)
| 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)
| 1.2s | 5 938× | 0 | valid |
| 1.1s | 2 318× | 1 | valid |
| 356.0ms | 999× | 0 | exit |
| 3.0ms | 18× | 1 | exit |
ival-exp: 559.0ms (27.8% of total)adjust: 416.0ms (20.7% of total)ival-mult!: 342.0ms (17% of total)ival-sub!: 283.0ms (14.1% of total)ival-div!: 210.0ms (10.4% of total)ival-neg: 121.0ms (6% of total)ival-add!: 81.0ms (4% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 186 |
| 1 | 227 | 170 |
| 2 | 794 | 164 |
| 3 | 4938 | 162 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 74.6% | (/.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 50 to 38 computations (24% 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)))))))) |
#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))))) |
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#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))))) |
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#s(approx (- 1 eps) #s(hole binary64 (* -1 eps))) |
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#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps))))))) |
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#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)))))))))) |
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#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))))))))) |
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#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))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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) |
| 3.0ms | 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) |
| 2.0ms | 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 524 | 4373 |
| 0 | 554 | 4180 |
| 1 | 1654 | 3780 |
| 2 | 7323 | 3778 |
| 0 | 8193 | 3447 |
| 0 | 31955 | 3278 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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#s(literal 1 binary64) |
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eps |
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x |
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#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 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))))) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))) (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x)))))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (-.f64 #s(literal -1 binary64) eps) eps) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 x 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)) |
(neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) #s(literal -4 binary64))) |
(neg.f64 (/.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 x 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))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))) |
(fma.f64 (exp.f64 (*.f64 x eps)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) |
(fma.f64 (exp.f64 (*.f64 x eps)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 eps #s(literal 2 binary64))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))) |
(fma.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 x eps)) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) |
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(fma.f64 (neg.f64 (exp.f64 (*.f64 x eps))) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) eps) eps) (exp.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) |
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(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) |
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(fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) (/.f64 #s(literal 1 binary64) eps) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))) |
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(fma.f64 (exp.f64 (*.f64 x eps)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x)))) |
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(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) eps))) |
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(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) |
(fma.f64 (cosh.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1 binary64) (-.f64 (+.f64 (sinh.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) |
(fma.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) eps) #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))) |
(fma.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) (neg.f64 eps)) #s(literal -1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))) |
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(fma.f64 (neg.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal -1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) eps))) |
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(fma.f64 (neg.f64 (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal -1 binary64) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) |
(fma.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) |
(fma.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal -1 binary64) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) eps))) |
(fma.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) |
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(fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) eps))) |
(fma.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) eps))) |
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(fma.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)) (-.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) |
(fma.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (*.f64 x eps)) eps) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x))))) |
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(-.f64 (-.f64 (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (/.f64 (cosh.f64 (fma.f64 x eps x)) eps)) (/.f64 (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) eps)) |
(-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps)) (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) eps)) |
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(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) eps) (cosh.f64 (-.f64 (*.f64 x eps) x))) (+.f64 (sinh.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) eps) (cosh.f64 (-.f64 (*.f64 x eps) x))) (-.f64 (sinh.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x eps x))))) |
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(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
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(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) |
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#s(literal 1 binary64) |
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eps |
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#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 eps eps))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x (+.f64 (neg.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 (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (fma.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (exp.f64 x)))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 x (+.f64 (neg.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 (*.f64 (fma.f64 eps (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (fma.f64 (/.f64 eps (exp.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (fma.f64 (fma.f64 (/.f64 eps (exp.f64 x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (exp.f64 x))) eps (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) (/.f64 (exp.f64 (neg.f64 x)) eps))) |
#s(approx (+ 1 (/ 1 eps)) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx (+ 1 (/ 1 eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx eps eps) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg (* (- 1 eps) x))) (/.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 x))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) eps) eps (/.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.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) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
#s(approx (- 1 eps) #s(literal 1 binary64)) |
#s(approx (- 1 eps) (-.f64 #s(literal 1 binary64) eps)) |
#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 (*.f64 (fma.f64 (neg.f64 eps) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 eps) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 eps) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (exp.f64 x)) eps))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 eps) (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 eps) (*.f64 (fma.f64 (/.f64 eps (exp.f64 x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (exp.f64 x))) eps))) eps)) |
#s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx (- (/ 1 eps) 1) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 x))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 x)) (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) eps) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) eps) eps))) |
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) 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 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.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 (fma.f64 (exp.f64 (-.f64 (*.f64 x 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 1/2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (exp.f64 (-.f64 (*.f64 x 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(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (-.f64 (*.f64 x eps) x))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) |
#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ 1 eps)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)) |
#s(approx (neg (* (- 1 eps) x)) (-.f64 (*.f64 x eps) x)) |
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 x) eps)) |
#s(approx (* (- 1 eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
#s(approx (- 1 eps) (neg.f64 eps)) |
#s(approx (- 1 eps) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x)))) |
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) |
#s(approx (- (/ 1 eps) 1) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps)) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 x) eps)) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
#s(approx (* (+ 1 eps) x) (*.f64 x eps)) |
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x)) |
#s(approx (+ 1 eps) eps) |
#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 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.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 (fma.f64 (exp.f64 (-.f64 (*.f64 x 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 1/2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (exp.f64 (-.f64 (*.f64 x 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(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (-.f64 (*.f64 x eps) x))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (*.f64 x eps) x))) |
#s(approx (neg (* (- 1 eps) x)) (-.f64 (*.f64 x eps) x)) |
#s(approx (* (- 1 eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 x eps x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x)) |
Compiled 14 406 to 4 853 computations (66.3% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 076 | 7 | 1 083 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 077 | 7 | 1 084 |
| Status | Accuracy | Program |
|---|---|---|
| 74.6% | (/.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 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) | |
| 36.5% | (/.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)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))) #s(literal 2 binary64)) | |
| ▶ | 37.6% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 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 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| ▶ | 44.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
| ▶ | 78.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64))) |
| ▶ | 53.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 1/2 binary64))) |
| ▶ | 39.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 398 to 356 computations (10.6% 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 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)) |
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
x |
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) |
#s(literal 2 binary64) |
(cosh.f64 (*.f64 x eps)) |
(*.f64 x eps) |
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(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(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) |
(+.f64 x #s(literal 1 binary64)) |
(exp.f64 x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) |
(+.f64 (/.f64 x eps) x) |
(/.f64 x eps) |
(-.f64 eps #s(literal 1 binary64)) |
(*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64))) |
(-.f64 (/.f64 x eps) x) |
(-.f64 eps #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 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 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 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 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
(/.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) 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) |
| 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)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 1)) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 2)) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* x (- (* 2 (* x (+ 1/2 (* 1/2 (pow eps 2))))) 2))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* x (- (* x (+ (* 2 (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))) (* 2 (+ 1/2 (* 1/2 (pow eps 2)))))) 2))))) |
#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 (neg x) #s(hole binary64 (* -1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 2)) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (pow x 2))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow x 2) (+ (* -1 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (pow eps 2)))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow x 2) (+ (* x (+ (* -1 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))))) (pow eps 2)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 1)) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (* 1/2 (pow eps 2))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))))))))) |
#s(approx (* x eps) #s(hole binary64 (* eps x))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 1)) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 2)) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* -1 (pow x 2))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1))))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 1)) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (/ (+ x 1) (exp 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 x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))) |
#s(approx (+ (/ x eps) x) #s(hole binary64 (* x (+ 1 (/ 1 eps))))) |
#s(approx (/ x eps) #s(hole binary64 (/ x eps))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* x (* (+ 1 eps) (- (/ 1 eps) 1))))) |
#s(approx (- (/ x eps) x) #s(hole binary64 (* 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 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 (* (- (/ 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 (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x)))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* 2 (/ x (exp x))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x)))))))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (/ x (exp x)))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))) |
#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 (* (- (/ 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 (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x)))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps)))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps))))) (/ 1 x)))))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps)))))))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* x (* (+ 1 eps) (- 1 (/ 1 eps))))))) |
#s(approx (- (/ x eps) x) #s(hole binary64 (* -1 (* 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 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 (* (- (/ 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 (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* 2 (exp (neg x))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (* (pow x 2) (exp (neg x))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (pow x 2)))))) |
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#s(approx eps #s(hole binary64 eps)) |
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#s(approx (+ (/ x eps) x) #s(hole binary64 (/ x eps))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
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| 7.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) (neg x) x (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (+ (/ x eps) x) (/ x eps) (- eps 1) (* (- (/ x eps) x) (- eps -1)) (- (/ x eps) x) (- eps -1) -1 (/ (- (* (+ 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 eps) -1) (/ 1 eps) (* (- (/ 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)) |
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| 5.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) (neg x) x (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (+ (/ x eps) x) (/ x eps) (- eps 1) (* (- (/ x eps) x) (- eps -1)) (- (/ x eps) x) (- eps -1) -1 (/ (- (* (+ 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 eps) -1) (/ 1 eps) (* (- (/ 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)) |
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 977 | 7709 |
| 0 | 1032 | 7105 |
| 1 | 3328 | 6801 |
| 0 | 8619 | 6447 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
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#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
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#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x)))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* 2 (/ x (exp x))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x)))))))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (/ x (exp x)))) |
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#s(approx (+ x 1) #s(hole binary64 x)) |
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#s(approx (exp x) #s(hole binary64 (exp x))) |
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#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x)))) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))))) |
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x)))) |
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#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* 2 (exp (neg x))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (* (pow x 2) (exp (neg x))))))) |
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#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (pow x 2)))))) |
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#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))) |
#s(approx eps #s(hole binary64 eps)) |
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#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (/ (+ x (* -1 x)) eps))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (/ (+ x (+ (* -1 x) (* eps (+ (* -2 x) (* 2 x))))) eps))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (/ (+ x (+ (* -1 x) (* eps (+ (* -2 x) (+ (* 2 x) (* eps (+ x (* -1 x)))))))) eps))) |
#s(approx (+ (/ x eps) x) #s(hole binary64 (/ x eps))) |
#s(approx (+ (/ x eps) x) #s(hole binary64 (/ (+ x (* eps x)) eps))) |
#s(approx (- eps 1) #s(hole binary64 -1)) |
#s(approx (- eps 1) #s(hole binary64 (- eps 1))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (/ x eps))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (/ (+ x (* eps (+ x (* -1 x)))) eps))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (/ (+ x (* eps (+ x (+ (* -1 x) (* -1 (* eps x)))))) eps))) |
#s(approx (- (/ x eps) x) #s(hole binary64 (/ x eps))) |
#s(approx (- (/ x eps) x) #s(hole binary64 (/ (+ x (* -1 (* eps x))) eps))) |
#s(approx (- eps -1) #s(hole binary64 1)) |
#s(approx (- eps -1) #s(hole binary64 (+ 1 eps))) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (/ (exp (neg x)) eps))) |
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#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 eps) -1) #s(hole binary64 (/ 1 eps))) |
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#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps))) |
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#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))) |
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#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 (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* eps (+ x (* -1 x)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ x (* -1 x)) (pow eps 2))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps))))))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* eps (+ x (* -1 x))))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* eps (+ x (+ (* -2 (/ x eps)) (+ (* -1 x) (* 2 (/ x eps)))))))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* eps (+ x (+ (* -2 (/ x eps)) (+ (* -1 x) (+ (* -1 (/ x (pow eps 2))) (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))))))) |
#s(approx (+ (/ x eps) x) #s(hole binary64 x)) |
#s(approx (+ (/ x eps) x) #s(hole binary64 (+ x (/ x eps)))) |
#s(approx (- eps 1) #s(hole binary64 eps)) |
#s(approx (- eps 1) #s(hole binary64 (* eps (- 1 (/ 1 eps))))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* eps x)))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (/ x eps)))))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* eps (+ (* -1 x) (+ (* -1 (/ x eps)) (+ (/ x eps) (/ x (pow eps 2)))))))) |
#s(approx (- (/ x eps) x) #s(hole binary64 (* -1 x))) |
#s(approx (- (/ x eps) x) #s(hole binary64 (- (/ x eps) x))) |
#s(approx (- eps -1) #s(hole binary64 eps)) |
#s(approx (- eps -1) #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 eps) -1) #s(hole binary64 1)) |
#s(approx (- (/ 1 eps) -1) #s(hole binary64 (+ 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 (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 (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* eps (+ x (* -1 x)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))))) eps)) (* 1/2 (+ x (* -1 x)))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ x (* -1 x)) eps)) (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x)))))))) eps)) (* 1/2 (+ x (* -1 x)))))))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* eps (+ x (* -1 x)))))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* eps (+ x (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))) eps)))))))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) #s(hole binary64 (* -1 (* eps (+ x (+ (* -1 x) (* -1 (/ (+ x (+ (* -1 x) (+ (* -1 (+ x (* -1 x))) (* -1 (/ (+ x (* -1 x)) eps))))) eps)))))))) |
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1))))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ (+ x (* -1 x)) eps))))))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ (+ x (+ (* -1 x) (/ x 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 (* -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 (* (- (/ 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 |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64)) |
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps)))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps))))) |
(neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps))) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))) (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps))) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))) |
(fma.f64 (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))) |
(fma.f64 (cosh.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (cosh.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (neg.f64 x) eps))) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (exp.f64 x)) (cosh.f64 (*.f64 x eps))) |
(*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) (*.f64 (exp.f64 x) #s(literal 2 binary64))) |
(fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) (*.f64 (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)))) |
(fma.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) (exp.f64 (neg.f64 x)) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(fma.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (*.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (neg.f64 x) eps)) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(+.f64 (*.f64 (cosh.f64 x) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) (*.f64 (sinh.f64 (neg.f64 x)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (+.f64 (neg.f64 x) (*.f64 x eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (fma.f64 x eps (neg.f64 x)))) |
(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) (neg.f64 (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) |
(-.f64 (cosh.f64 x) (sinh.f64 x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (neg.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 0 binary64) x x)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 (fma.f64 #s(literal 0 binary64) x x)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))) |
(neg.f64 (neg.f64 (neg.f64 x))) |
(neg.f64 x) |
(fma.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) x) (neg.f64 x)) |
(fma.f64 #s(literal 0 binary64) (neg.f64 x) (neg.f64 x)) |
(fma.f64 #s(literal 0 binary64) x (neg.f64 x)) |
(fma.f64 (*.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (neg.f64 x)) |
(fma.f64 #s(literal -2 binary64) (-.f64 x x) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 0 binary64) x x) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) x) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (neg.f64 x)) |
(fma.f64 x #s(literal 0 binary64) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x) (neg.f64 x)) |
(-.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 (neg.f64 x))) |
(-.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) x)) |
(+.f64 (*.f64 #s(literal 0 binary64) x) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 #s(literal 0 binary64) x)) |
x |
(*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (fma.f64 (neg.f64 eps) x (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) eps) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 (neg.f64 x) eps) (*.f64 x eps)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 (*.f64 x eps) (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (*.f64 eps (+.f64 x x)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 2 binary64))))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) |
(/.f64 (fma.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 x eps)))) |
(neg.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal -2 binary64))) |
(fma.f64 (/.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x eps)) (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x eps)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x eps))) (*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x eps)))) |
(+.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) (exp.f64 (neg.f64 (*.f64 (neg.f64 x) eps)))) |
(+.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) (exp.f64 (*.f64 x eps))) |
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 (neg.f64 x) eps))) |
(+.f64 (cosh.f64 (*.f64 x eps)) (cosh.f64 (*.f64 x eps))) |
#s(literal 2 binary64) |
(*.f64 (/.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(cosh.f64 (neg.f64 (*.f64 (neg.f64 x) eps))) |
(cosh.f64 (*.f64 (neg.f64 x) eps)) |
(cosh.f64 (*.f64 x eps)) |
(+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 x eps)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x eps)) #s(literal 2 binary64)) (/.f64 (exp.f64 (*.f64 (neg.f64 x) eps)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) (/.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) |
(*.f64 x eps) |
(*.f64 eps 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(literal 1 binary64) |
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(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (exp.f64 x)) #s(literal 1/2 binary64)) |
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(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) #s(literal 2 binary64)) |
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(fma.f64 (/.f64 x (exp.f64 x)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 x))) |
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(/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) |
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(neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (exp.f64 x))) |
(+.f64 (/.f64 x (exp.f64 x)) (exp.f64 (neg.f64 x))) |
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(-.f64 x #s(literal -1 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(exp.f64 x) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)))))) |
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(fma.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)))) |
(fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 x eps) x))) (-.f64 eps #s(literal -1 binary64)))) |
(fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) |
(fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 x eps) x) (*.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 x eps) x))) (-.f64 eps #s(literal -1 binary64)))) |
(fma.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 x eps) x) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) |
(fma.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 x eps) x) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)))) |
(-.f64 (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 (/.f64 x eps) x)) (-.f64 eps #s(literal -1 binary64)))) |
(+.f64 (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)))) |
(+.f64 (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 x eps) x))) (-.f64 eps #s(literal -1 binary64)))) |
(+.f64 (*.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) eps) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 x eps) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 x eps) x) |
(+.f64 (/.f64 x eps) x) |
(+.f64 x (/.f64 x eps)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) eps)) |
(*.f64 (/.f64 #s(literal -1 binary64) eps) (/.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 x eps) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x eps)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 eps))) |
(/.f64 (neg.f64 x) (neg.f64 eps)) |
(/.f64 x eps) |
(neg.f64 (/.f64 (neg.f64 x) eps)) |
(-.f64 eps #s(literal 1 binary64)) |
(+.f64 eps #s(literal -1 binary64)) |
(*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64))) |
(*.f64 (-.f64 eps #s(literal -1 binary64)) (-.f64 (/.f64 x eps) x)) |
(-.f64 (/.f64 x eps) x) |
(-.f64 eps #s(literal -1 binary64)) |
(+.f64 eps #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) eps) |
#s(literal -1 binary64) |
(/.f64 (-.f64 (*.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) #s(literal 2 binary64))) |
(neg.f64 (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal -2 binary64))) |
(-.f64 (/.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) #s(literal 2 binary64))) |
(+.f64 (/.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
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(*.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) |
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(pow.f64 eps #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 eps))) |
(/.f64 #s(literal 1 binary64) eps) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(neg.f64 (/.f64 #s(literal -1 binary64) eps)) |
(*.f64 (exp.f64 (neg.f64 (fma.f64 x 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 (neg.f64 (fma.f64 x eps x)))) |
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(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x)) #s(literal -1 binary64)) |
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(pow.f64 (exp.f64 x) (neg.f64 (-.f64 eps #s(literal -1 binary64)))) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 eps #s(literal -1 binary64))) |
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (*.f64 (neg.f64 x) eps)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 (*.f64 x eps))) (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 (*.f64 x eps)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (*.f64 x eps))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 x eps x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 (*.f64 x eps))) (neg.f64 (exp.f64 x)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 (*.f64 x eps))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))) |
(neg.f64 (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(fma.f64 (cosh.f64 x) (exp.f64 (*.f64 (neg.f64 x) eps)) (*.f64 (sinh.f64 (neg.f64 x)) (exp.f64 (*.f64 (neg.f64 x) eps)))) |
(fma.f64 (cosh.f64 (fma.f64 x eps x)) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1 binary64))) |
(-.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x))) |
(-.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x eps x)))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x eps x))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(+.f64 (*.f64 (cosh.f64 (fma.f64 x eps x)) #s(literal 1 binary64)) (*.f64 (sinh.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (cosh.f64 x) (exp.f64 (*.f64 (neg.f64 x) eps))) (*.f64 (sinh.f64 (neg.f64 x)) (exp.f64 (*.f64 (neg.f64 x) eps)))) |
(+.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (neg.f64 (fma.f64 x eps x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) (neg.f64 x)) |
(*.f64 (neg.f64 (-.f64 eps #s(literal -1 binary64))) x) |
(*.f64 #s(literal -1 binary64) (fma.f64 x eps x)) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))) |
(*.f64 (neg.f64 x) (-.f64 eps #s(literal -1 binary64))) |
(*.f64 (fma.f64 x eps x) #s(literal -1 binary64)) |
(*.f64 (-.f64 eps #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 x (neg.f64 (-.f64 eps #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (fma.f64 x eps x) #s(literal 1 binary64))) |
(neg.f64 (neg.f64 (neg.f64 (fma.f64 x eps x)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (neg.f64 eps)) x)) |
(neg.f64 (fma.f64 x eps x)) |
(fma.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 x) eps)) |
(fma.f64 (neg.f64 eps) x (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(fma.f64 (neg.f64 eps) x (neg.f64 x)) |
(fma.f64 (*.f64 x eps) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(fma.f64 (*.f64 x eps) #s(literal -1 binary64) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 0 binary64) x x) (*.f64 (neg.f64 x) eps)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 x) eps)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x eps) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x eps) (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) eps)) |
(fma.f64 (neg.f64 x) eps (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(fma.f64 (neg.f64 x) eps (neg.f64 x)) |
(fma.f64 x (neg.f64 eps) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(fma.f64 x (neg.f64 eps) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 x) eps)) |
(fma.f64 eps (neg.f64 x) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(fma.f64 eps (neg.f64 x) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 x) eps)) |
(-.f64 (*.f64 (neg.f64 x) eps) (neg.f64 (neg.f64 x))) |
(-.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 x) eps))) |
(-.f64 (neg.f64 x) (*.f64 x eps)) |
(+.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) eps)) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 eps)) (neg.f64 x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) eps)) |
(+.f64 (*.f64 (neg.f64 x) eps) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) eps) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 (neg.f64 x) eps)) |
(*.f64 (-.f64 eps #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 eps #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x eps)) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x eps)) |
(fma.f64 x eps (neg.f64 (neg.f64 x))) |
(fma.f64 x eps x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x eps)) |
(fma.f64 eps x (neg.f64 (neg.f64 x))) |
(fma.f64 eps x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x eps)) |
(-.f64 x (*.f64 (neg.f64 x) eps)) |
(+.f64 (neg.f64 (neg.f64 x)) (*.f64 x eps)) |
(+.f64 (*.f64 x eps) (neg.f64 (neg.f64 x))) |
(+.f64 (*.f64 x eps) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 eps)) x)) |
(+.f64 x (*.f64 (*.f64 (neg.f64 x) eps) #s(literal -1 binary64))) |
(+.f64 x (neg.f64 (*.f64 (neg.f64 x) eps))) |
(+.f64 x (*.f64 x eps)) |
(-.f64 eps #s(literal -1 binary64)) |
(+.f64 eps #s(literal 1 binary64)) |
(+.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 (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(literal 1 binary64)) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.f64 x) #s(literal -1 binary64))) |
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#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) (-.f64 (neg.f64 x) #s(literal -1 binary64))) |
#s(approx (exp (neg x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
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#s(approx (neg x) (neg.f64 x)) |
#s(approx x x) |
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#s(approx (cosh (* x eps)) #s(literal 1 binary64)) |
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#s(approx (* x eps) (*.f64 x eps)) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(literal 1 binary64)) |
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#s(approx (* (* 2 (/ (+ x 1) (exp 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 (* 2 (/ (+ x 1) (exp x))) #s(literal 2 binary64)) |
#s(approx (* 2 (/ (+ x 1) (exp x))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) |
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#s(approx (/ (+ x 1) (exp x)) #s(literal 1 binary64)) |
#s(approx (/ (+ x 1) (exp x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
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#s(approx (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) #s(literal 1 binary64)) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64)) |
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#s(approx (+ (/ x eps) x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) |
#s(approx (/ x eps) (/.f64 x eps)) |
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#s(approx (- (/ x eps) x) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) x)) |
#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 (* (exp (neg x)) (* 2 (cosh (* x eps)))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 eps (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64)))))) eps (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 eps eps) (/.f64 #s(literal 2 binary64) (exp.f64 x)))) |
#s(approx (* 2 (cosh (* x eps))) (fma.f64 (*.f64 eps eps) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))) eps)) #s(literal 2 binary64))) |
#s(approx (* 2 (cosh (* x eps))) (fma.f64 (fma.f64 eps (neg.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) x)) eps (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))))) (*.f64 x x)) (*.f64 eps eps) #s(literal 2 binary64))) |
#s(approx (cosh (* x eps)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))) eps) (*.f64 x x))) (*.f64 eps eps) #s(literal 1 binary64))) |
#s(approx (cosh (* x eps)) (fma.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/6 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64))) x)) eps (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 eps eps) #s(literal 1 binary64))) |
#s(approx eps eps) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 #s(literal 0 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) eps)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 0 binary64) x) eps (*.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) eps (*.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))) eps)) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 #s(literal 0 binary64) (/.f64 x eps))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (/.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) eps)) eps)) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (/.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (fma.f64 #s(literal 0 binary64) x (*.f64 (*.f64 #s(literal 0 binary64) x) eps)) eps)) eps)) |
#s(approx (+ (/ x eps) x) (/.f64 x eps)) |
#s(approx (+ (/ x eps) x) (/.f64 (fma.f64 x eps x) eps)) |
#s(approx (- eps 1) #s(literal -1 binary64)) |
#s(approx (- eps 1) (-.f64 eps #s(literal 1 binary64))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) (/.f64 x eps)) |
#s(approx (* (- (/ x eps) x) (- eps -1)) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) x) eps x) eps)) |
#s(approx (* (- (/ x eps) x) (- eps -1)) (/.f64 (fma.f64 (*.f64 x (+.f64 #s(literal 0 binary64) (neg.f64 eps))) eps x) eps)) |
#s(approx (- (/ x eps) x) (/.f64 x eps)) |
#s(approx (- (/ x eps) x) (/.f64 (-.f64 x (*.f64 x eps)) eps)) |
#s(approx (- eps -1) #s(literal 1 binary64)) |
#s(approx (- eps -1) (-.f64 eps #s(literal -1 binary64))) |
#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 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) 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 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 eps eps))) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.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 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 eps eps))) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.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 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64))) (*.f64 (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)))) (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64)))))) (*.f64 eps eps))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 eps eps))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 eps eps))) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.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 (-.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 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) 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 eps (+.f64 (fma.f64 eps (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/6 binary64)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) eps)) |
#s(approx (- (/ 1 eps) -1) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx (- (/ 1 eps) -1) (/.f64 (-.f64 eps #s(literal -1 binary64)) eps)) |
#s(approx (/ 1 eps) (/.f64 #s(literal 1 binary64) eps)) |
#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 (exp.f64 (neg.f64 x)) (neg.f64 (-.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 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x)) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (neg.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps)) (exp.f64 (neg.f64 x))) eps)) |
#s(approx (- (/ 1 eps) 1) (/.f64 #s(literal 1 binary64) eps)) |
#s(approx (- (/ 1 eps) 1) (/.f64 (neg.f64 (-.f64 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))) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) x) eps))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 x x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 eps (-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (exp.f64 (neg.f64 x))) eps) #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) eps) (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x)))) |
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (+ 1 eps) x)) (-.f64 (*.f64 (neg.f64 x) eps) x)) |
#s(approx (* (+ 1 eps) x) x) |
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x)) |
#s(approx (- eps -1) #s(literal 1 binary64)) |
#s(approx (- eps -1) (-.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))) (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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 x eps) x))) eps #s(literal 1 binary64))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 0 binary64) x (*.f64 #s(literal 0 binary64) (/.f64 x (*.f64 eps eps)))) (/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) #s(literal 1 binary64)) eps)) eps)) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (*.f64 #s(literal 0 binary64) x) eps)) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal -2 binary64) (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (neg.f64 x))) x) eps)) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (+.f64 (fma.f64 (/.f64 x eps) #s(literal -2 binary64) (+.f64 (-.f64 (fma.f64 (/.f64 x eps) #s(literal 2 binary64) (/.f64 x (*.f64 eps eps))) (/.f64 x (*.f64 eps eps))) (neg.f64 x))) x) eps)) |
#s(approx (+ (/ x eps) x) x) |
#s(approx (+ (/ x eps) x) (+.f64 (/.f64 x eps) x)) |
#s(approx (- eps 1) eps) |
#s(approx (- eps 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) eps)) |
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (neg.f64 x) eps)) |
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x eps) (neg.f64 x)) eps)) |
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (+.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x eps) (/.f64 x (*.f64 eps eps))) (neg.f64 x)) eps)) |
#s(approx (- (/ x eps) x) (neg.f64 x)) |
#s(approx (- (/ x eps) x) (-.f64 (/.f64 x eps) x)) |
#s(approx (- eps -1) eps) |
#s(approx (- eps -1) (-.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 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (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)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
#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 eps) -1) #s(literal 1 binary64)) |
#s(approx (- (/ 1 eps) -1) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
#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)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) |
#s(approx (- (/ 1 eps) 1) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 x) eps)) |
#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 (- eps -1) eps) |
#s(approx (- eps -1) (-.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) (*.f64 (+.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) (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 (+.f64 (neg.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps))))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) (+.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) (exp.f64 (neg.f64 (fma.f64 x eps x))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (neg.f64 eps) (fma.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) eps)))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (neg.f64 eps) (fma.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 x eps) x)) #s(literal 1 binary64)) (neg.f64 eps))))) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (*.f64 #s(literal 0 binary64) x) eps)) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 x eps) x)) eps)) |
#s(approx (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) (*.f64 (neg.f64 eps) (fma.f64 #s(literal 0 binary64) x (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (/.f64 x eps) x)) eps)))) |
#s(approx (- eps 1) (*.f64 (neg.f64 eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 x eps) (neg.f64 x)) eps)) |
#s(approx (* (- (/ x eps) x) (- eps -1)) (*.f64 (neg.f64 eps) (-.f64 x (/.f64 (fma.f64 #s(literal 0 binary64) x (/.f64 x eps)) eps)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) (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 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) (/.f64 (+.f64 (neg.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps))))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (-.f64 x (*.f64 x eps)))) eps) (exp.f64 (neg.f64 (-.f64 x (*.f64 x 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)))) (-.f64 (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps) (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
#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 (neg.f64 x) (/.f64 x eps)))) |
Compiled 6 508 to 2 597 computations (60.1% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 497 | 10 | 507 |
| Fresh | 1 | 1 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 502 | 12 | 514 |
| Status | Accuracy | Program |
|---|---|---|
| 74.6% | (/.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 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) | |
| ▶ | 85.1% | #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)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64))) |
| ▶ | 39.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
| 69.0% | #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)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/2 binary64))) | |
| ▶ | 16.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64)))) |
| 77.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)))) | |
| ▶ | 39.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.f64 x) #s(literal -1 binary64)))) |
| 69.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x)))) | |
| 50.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp 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)))) | |
| 38.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ▶ | 17.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))) |
| ✓ | 39.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 752 to 711 computations (5.5% saved)
| Inputs |
|---|
#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)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) |
#s(literal 2 binary64) |
(cosh.f64 (*.f64 x eps)) |
(*.f64 x eps) |
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(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.f64 x) #s(literal -1 binary64)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.f64 x) #s(literal -1 binary64))) |
(-.f64 (neg.f64 x) #s(literal -1 binary64)) |
(neg.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) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 0 binary64) x) eps) |
(*.f64 #s(literal 0 binary64) x) |
#s(literal 0 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x))) |
(/.f64 x (exp.f64 x)) |
(exp.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)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 1)) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 2)) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* x (- (* 2 (* x (+ 1/2 (* 1/2 (pow eps 2))))) 2))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* x (- (* x (+ (* 2 (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))) (* 2 (+ 1/2 (* 1/2 (pow eps 2)))))) 2))))) |
#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 (* 2 (cosh (* x eps))) #s(hole binary64 2)) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (pow x 2))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow x 2) (+ (* -1 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (pow eps 2)))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow x 2) (+ (* x (+ (* -1 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))))) (pow eps 2)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 1)) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (* 1/2 (pow eps 2))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))))))))) |
#s(approx (* x eps) #s(hole binary64 (* eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (neg x) -1) #s(hole binary64 1)) |
#s(approx (- (neg x) -1) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))) |
#s(approx (* (* (* 0 x) eps) 1/2) #s(hole binary64 0)) |
#s(approx (* (* 0 x) eps) #s(hole binary64 0)) |
#s(approx (* 0 x) #s(hole binary64 0)) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 1)) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 2)) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* -1 (pow x 2))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1))))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 1)) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (/ (+ x 1) (exp 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 x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (/ x (exp x)) #s(hole binary64 x)) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* -1 x))))) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1)))))) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 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 (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 x))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x)))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* 2 (/ x (exp x))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x)))))))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (/ x (exp x)))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (/ x (exp x)) #s(hole binary64 (/ x (exp 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 (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x)))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps)))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps))))) (/ 1 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))))))))) |
#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 (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* 2 (exp (neg x))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (* (pow x 2) (exp (neg x))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (pow x 2)))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (pow x 2)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (/ (+ x (* -1 x)) eps)))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (* 1/2 (+ (* -2 x) (* 2 x)))))) eps))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (+ (* 1/2 (* eps (+ x (* -1 x)))) (* 1/2 (+ (* -2 x) (* 2 x))))))) 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 (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* eps (+ x (* -1 x)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ x (* -1 x)) (pow eps 2))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 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 (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* eps (+ x (* -1 x)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))))) eps)) (* 1/2 (+ x (* -1 x)))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ x (* -1 x)) eps)) (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x)))))))) eps)) (* 1/2 (+ x (* -1 x)))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 148.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) 1 (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) x eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (neg x) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (* (* (* 0 x) eps) 1/2) (* (* 0 x) eps) (* 0 x) 0 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (exp x)) |
| 4.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) 1 (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) x eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (neg x) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (* (* (* 0 x) eps) 1/2) (* (* 0 x) eps) (* 0 x) 0 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (exp x)) |
| 2.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) 1 (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) x eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (neg x) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (* (* (* 0 x) eps) 1/2) (* (* 0 x) eps) (* 0 x) 0 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (exp x)) |
| 2.0ms | eps | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) 1 (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) x eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (neg x) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (* (* (* 0 x) eps) 1/2) (* (* 0 x) eps) (* 0 x) 0 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (exp x)) |
| 2.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (* (exp (neg x)) (* 2 (cosh (* x eps)))) (exp (neg x)) 1 (* 2 (cosh (* x eps))) 2 (cosh (* x eps)) (* x eps) x eps 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (neg x) -1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (* (* (* 0 x) eps) 1/2) (* (* 0 x) eps) (* 0 x) 0 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (* 2 (/ (+ x 1) (exp x))) (/ (+ x 1) (exp x)) (+ x 1) (exp x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (exp x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 630 | 4365 |
| 0 | 650 | 3823 |
| 1 | 2268 | 3669 |
| 0 | 8553 | 3336 |
| 0 | 32529 | 3105 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#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)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64)) |
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) |
#s(literal 2 binary64) |
(cosh.f64 (*.f64 x eps)) |
(*.f64 x eps) |
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(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.f64 x) #s(literal -1 binary64)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.f64 x) #s(literal -1 binary64))) |
(-.f64 (neg.f64 x) #s(literal -1 binary64)) |
(neg.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) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) eps) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 0 binary64) x) eps) |
(*.f64 #s(literal 0 binary64) x) |
#s(literal 0 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp x) #s(literal 1 binary64))) |
(+.f64 x #s(literal 1 binary64)) |
#s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x))) |
(/.f64 x (exp.f64 x)) |
(exp.f64 x) |
#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)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 1)) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 2)) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* x (- (* 2 (* x (+ 1/2 (* 1/2 (pow eps 2))))) 2))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ 2 (* x (- (* x (+ (* 2 (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))) (* 2 (+ 1/2 (* 1/2 (pow eps 2)))))) 2))))) |
#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 (* 2 (cosh (* x eps))) #s(hole binary64 2)) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (pow x 2))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow x 2) (+ (* -1 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (pow eps 2)))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow x 2) (+ (* x (+ (* -1 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))))) (pow eps 2)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 1)) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (* 1/2 (pow eps 2))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))))))))) |
#s(approx (* x eps) #s(hole binary64 (* eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (neg x) -1) #s(hole binary64 1)) |
#s(approx (- (neg x) -1) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))) |
#s(approx (* (* (* 0 x) eps) 1/2) #s(hole binary64 0)) |
#s(approx (* (* 0 x) eps) #s(hole binary64 0)) |
#s(approx (* 0 x) #s(hole binary64 0)) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 1)) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 2)) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* -1 (pow x 2))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1))))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 1)) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (/ (+ x 1) (exp 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 x) #s(hole binary64 1)) |
#s(approx (exp x) #s(hole binary64 (+ 1 x))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (exp x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))))) |
#s(approx (/ x (exp x)) #s(hole binary64 x)) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* -1 x))))) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1)))))) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 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 (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 x))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x)))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* 2 (/ x (exp x))))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) #s(hole binary64 (* x (+ (* 2 (/ 1 (exp x))) (* 2 (/ 1 (* x (exp x)))))))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (/ x (exp x)))) |
#s(approx (/ (+ x 1) (exp x)) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))) |
#s(approx (+ x 1) #s(hole binary64 x)) |
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#s(approx (exp x) #s(hole binary64 (exp x))) |
#s(approx (/ x (exp x)) #s(hole binary64 (/ x (exp 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 (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x)))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps)))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* x (- (* 1/2 (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* (+ 1 eps) (- 1 (/ 1 eps))))) (/ 1 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))))))))) |
#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 (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (* 2 (exp (neg x))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (* (pow x 2) (exp (neg x))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (pow x 2)))))) |
#s(approx (* 2 (cosh (* x eps))) #s(hole binary64 (+ 2 (* (pow eps 2) (+ (* eps (+ (* -1 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (pow x 2)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (/ (+ x (* -1 x)) eps)))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (* 1/2 (+ (* -2 x) (* 2 x)))))) eps))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (/ (+ (* 1/2 (+ x (* -1 x))) (* eps (+ 1 (+ (* 1/2 (* eps (+ x (* -1 x)))) (* 1/2 (+ (* -2 x) (* 2 x))))))) 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 (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* 1/2 (* eps (+ x (* -1 x)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 1 eps)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* eps (+ (* 1/2 (+ x (* -1 x))) (+ (* 1/2 (/ (+ x (* -1 x)) (pow eps 2))) (+ (* 1/2 (/ (+ (* -2 x) (* 2 x)) eps)) (/ 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 (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1/2 (* eps (+ x (* -1 x)))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x))))))) eps)) (* 1/2 (+ x (* -1 x)))))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ x (* -1 x)) eps)) (* 1/2 (+ x (+ (* -1 x) (* -1 (+ x (* -1 x)))))))) eps)) (* 1/2 (+ x (* -1 x)))))))) |
| 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)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
(*.f64 (neg.f64 (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps)))) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) (cosh.f64 (*.f64 x eps)))) |
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(neg.f64 (neg.f64 (cosh.f64 (*.f64 x eps)))) |
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(cosh.f64 (*.f64 x eps)) |
(cosh.f64 (*.f64 (neg.f64 x) eps)) |
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(*.f64 (neg.f64 eps) (neg.f64 x)) |
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(*.f64 x eps) |
(*.f64 eps x) |
(neg.f64 (*.f64 (neg.f64 x) eps)) |
x |
eps |
#s(literal 1/2 binary64) |
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(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
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(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(-.f64 (neg.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
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(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 x #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
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(/.f64 (*.f64 x x) (neg.f64 x)) |
(neg.f64 x) |
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(fma.f64 #s(literal -1/2 binary64) (+.f64 x x) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) x) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (neg.f64 x) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (neg.f64 x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) x) |
(-.f64 (neg.f64 x) #s(literal 0 binary64)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 0 binary64)) |
#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 eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 0 binary64))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) |
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(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal 0 binary64)) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(exp.f64 x) |
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(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(+.f64 #s(literal 0 binary64) (exp.f64 x)) |
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#s(approx (* 2 (cosh (* x eps))) #s(literal 2 binary64)) |
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#s(approx (cosh (* x eps)) #s(literal 1 binary64)) |
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#s(approx (* x eps) (*.f64 x eps)) |
#s(approx x x) |
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#s(approx (- (neg x) -1) (-.f64 #s(literal 1 binary64) x)) |
#s(approx (neg x) (neg.f64 x)) |
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#s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)) |
#s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)) |
#s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)) |
#s(approx (/ (+ x 1) (exp x)) #s(literal 1 binary64)) |
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#s(approx (/ (+ x 1) (exp x)) (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 (* 2 (/ (+ x 1) (exp x))) #s(literal 2 binary64)) |
#s(approx (* 2 (/ (+ x 1) (exp x))) (-.f64 #s(literal 2 binary64) (*.f64 x x))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) (fma.f64 (fma.f64 #s(literal 2/3 binary64) x #s(literal -1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (* 2 (/ (+ x 1) (exp x))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x #s(literal -1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (/ (+ x 1) (exp x)) #s(literal 1 binary64)) |
#s(approx (/ (+ x 1) (exp x)) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (/ (+ x 1) (exp x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ (+ x 1) (exp x)) (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 (+ x 1) #s(literal 1 binary64)) |
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64))) |
(*.f64 #s(approx (exp x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (exp x) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (exp x) #s(literal 1 binary64)))) |
#s(approx (exp x) (-.f64 x #s(literal -1 binary64))) |
#s(approx (exp x) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
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#s(approx (/ x (exp x)) x) |
#s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) |
#s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)) |
#s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)) |
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 (*.f64 x eps)))) |
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#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
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#s(approx (cosh (* x eps)) (cosh.f64 (*.f64 x eps))) |
#s(approx (- (neg x) -1) (neg.f64 x)) |
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#s(approx (/ (+ x 1) (exp x)) (/.f64 x (exp.f64 x))) |
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#s(approx (/ (+ x 1) (exp x)) (/.f64 x (exp.f64 x))) |
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#s(approx (+ x 1) x) |
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#s(approx (exp x) (exp.f64 x)) |
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#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) eps (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (exp.f64 (neg.f64 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 eps (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6 binary64)))) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64)))))) eps (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 eps eps) (exp.f64 (neg.f64 x)))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.f64 x))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) (*.f64 eps eps) #s(literal 2 binary64)))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) (*.f64 eps eps) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (*.f64 eps (exp.f64 (neg.f64 x))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))))))) |
#s(approx (* (exp (neg x)) (* 2 (cosh (* x eps)))) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 x x) (*.f64 eps eps) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 eps) eps) (*.f64 (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6 binary64)))) (exp.f64 (neg.f64 x))) eps)) eps)))) |
#s(approx (* 2 (cosh (* x eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) eps (*.f64 x x)) (*.f64 eps eps) #s(literal 2 binary64))) |
#s(approx (* 2 (cosh (* x eps))) (fma.f64 (fma.f64 eps (-.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6 binary64)))) eps)) (*.f64 x x)) (*.f64 eps eps) #s(literal 2 binary64))) |
#s(approx (cosh (* x eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) eps (*.f64 x x))) (*.f64 eps eps) #s(literal 1 binary64))) |
#s(approx (cosh (* x eps)) (fma.f64 (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/3 binary64))) x (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/6 binary64)))) eps (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/2 binary64))))) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 eps eps) #s(literal 1 binary64))) |
#s(approx eps eps) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 0 binary64)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 (*.f64 x eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 (*.f64 x eps))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 0 binary64)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 (*.f64 x eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (cosh.f64 (*.f64 x eps))))) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 0 binary64)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(literal 1 binary64)) |
Compiled 5 118 to 2 099 computations (59% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 435 | 10 | 445 |
| Fresh | 3 | 3 | 6 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 442 | 15 | 457 |
| Status | Accuracy | Program |
|---|---|---|
| 74.6% | (/.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 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) | |
| 39.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) | |
| 69.0% | #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)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/2 binary64))) | |
| ▶ | 85.1% | #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)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
| 16.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) | |
| 47.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (neg.f64 x)) #s(literal -1 binary64)))) | |
| ▶ | 39.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
| 69.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x)))) | |
| ▶ | 39.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
| 3.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x)))) | |
| ✓ | 17.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))) |
| ▶ | 14.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)))) |
| 1.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) | |
| ▶ | 2.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
| ✓ | 39.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 920 to 864 computations (6.1% saved)
| Inputs |
|---|
#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)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cosh.f64 (*.f64 x eps)) |
(*.f64 x eps) |
x |
eps |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)) |
#s(approx (/ x (exp x)) x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) |
#s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#s(literal 1/2 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)) (cosh (* x eps))) #s(hole binary64 1)) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1))))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1))))) |
#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 (cosh (* x eps)) #s(hole binary64 1)) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (* 1/2 (pow eps 2))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))))))))) |
#s(approx (* x eps) #s(hole binary64 (* eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 1)) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (/ x (exp x)) #s(hole binary64 x)) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* -1 x))))) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1)))))) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 1)) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1))))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (- (neg x) -1) #s(hole binary64 1)) |
#s(approx (- (neg x) -1) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1)) |
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x))) |
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1 x))))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1)))))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1))))) |
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1)) |
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 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 (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x)))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))) |
#s(approx (/ x (exp x)) #s(hole binary64 (/ x (exp x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 x))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* 1/2 (pow x 3)))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* (pow x 3) (- 1/2 (/ 1 x))))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))))) |
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 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 (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (/ 1 x) 1/2))))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2))))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))))) |
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 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 (* 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 (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (exp (neg x)))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))) |
#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))))) 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))))))))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (cosh (* x eps))) (exp (neg x)) 1 (cosh (* x eps)) (* x eps) x eps (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1) |
| 3.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (cosh (* x eps))) (exp (neg x)) 1 (cosh (* x eps)) (* x eps) x eps (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1) |
| 2.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (cosh (* x eps))) (exp (neg x)) 1 (cosh (* x eps)) (* x eps) x eps (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1) |
| 2.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (cosh (* x eps))) (exp (neg x)) 1 (cosh (* x eps)) (* x eps) x eps (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1) |
| 2.0ms | eps | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (exp (neg x)) (cosh (* x eps))) (exp (neg x)) 1 (cosh (* x eps)) (* x eps) x eps (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (- (neg x) -1) (* (- (/ 1 x) 1) x) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/ x (exp x)) (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (+ (* (+ (* 1/2 x) -1) x) 1) (+ (* 1/2 x) -1) 1/2 -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 490 | 3480 |
| 0 | 504 | 3158 |
| 1 | 1551 | 2881 |
| 2 | 7214 | 2835 |
| 0 | 8510 | 2498 |
| 0 | 31119 | 2401 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#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)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cosh.f64 (*.f64 x eps)) |
(*.f64 x eps) |
x |
eps |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x)) |
#s(approx (/ x (exp x)) x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x))) |
#s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x))) |
#s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
#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) #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)) (cosh (* x eps))) #s(hole binary64 1)) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1))))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1))))) |
#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 (cosh (* x eps)) #s(hole binary64 1)) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* 1/2 (* (pow eps 2) (pow x 2)))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))) (* 1/2 (pow eps 2))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (+ (* -1/2 (* x (+ (* -1 (* eps (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (+ (* -1/2 (pow eps 3)) (* 1/6 (pow eps 3)))))) (+ (* -1/2 (* (pow eps 2) (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/6 (pow eps 4)))))) (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3))))))))))) |
#s(approx (* x eps) #s(hole binary64 (* eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 1)) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (/ x (exp x)) #s(hole binary64 x)) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* -1 x))))) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1)))))) |
#s(approx (/ x (exp x)) #s(hole binary64 (* x (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 1)) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* 1/2 (pow eps 2)))) 1))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (+ (* 1/2 (pow eps 2)) (* x (- (+ (* -1/2 (+ (* -1 (* eps (+ (* -1 (pow eps 2)) (* 1/2 (pow eps 2))))) (* -1/2 (pow eps 3)))) (* -1/2 (pow eps 2))) 1/6))))) 1))))) |
#s(approx (- 1 x) #s(hole binary64 1)) |
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (- (neg x) -1) #s(hole binary64 1)) |
#s(approx (- (neg x) -1) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 1)) |
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ 1 x))) |
#s(approx (- (/ 1 x) 1) #s(hole binary64 (/ (+ 1 (* -1 x)) x))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* x (+ 1 (* -1 x))))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* x (+ 1 (* x (- (* 1/2 x) 1)))))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1))))) |
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 -1)) |
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (- (* 1/2 x) 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 (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (* 1/2 (+ (exp (* eps x)) (/ 1 (exp (* eps x))))))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (/ x (exp x)))) |
#s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(hole binary64 (* x (+ (/ 1 (exp x)) (/ 1 (* x (exp x))))))) |
#s(approx (/ x (exp x)) #s(hole binary64 (/ x (exp x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (neg x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 x))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 x))) |
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1)))) |
#s(approx (- (/ 1 x) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1 x) 1) #s(hole binary64 (- (/ 1 x) 1))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* 1/2 (pow x 3)))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* (pow x 3) (- 1/2 (/ 1 x))))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* 1/2 (pow x 2)))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- 1/2 (/ 1 x))))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x))))) |
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* 1/2 x))) |
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* x (- 1/2 (/ 1 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 (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (* 1/2 (* (exp (* -1 x)) (+ (exp (* eps x)) (/ 1 (exp (* eps x)))))))) |
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (- (neg x) -1) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (* (- (/ 1 x) 1) x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x)))))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (/ 1 x) 1/2))))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1) x)) 1/2))))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) #s(hole binary64 (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x)))))) |
#s(approx (+ (* 1/2 x) -1) #s(hole binary64 (* -1 (* x (- (/ 1 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 (* 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 (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (exp (neg x)))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
#s(approx (* (exp (neg x)) (cosh (* x eps))) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/2 (pow x 2))))))) |
#s(approx (cosh (* x eps)) #s(hole binary64 (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/2 (* eps (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4)))))) (* -1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))))))))) |
#s(approx eps #s(hole binary64 eps)) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (exp (neg x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* (pow eps 2) (* (pow x 2) (exp (neg x)))))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* (pow eps 2) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* eps (+ (* -1/2 (* eps (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/6 (pow x 4))))))) (* -1/2 (* (exp (neg x)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))))))))))) |
#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))))) 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))))))))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (cosh.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) (/.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (cosh.f64 (*.f64 x eps)) #s(approx (exp (neg x)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64)))) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (*.f64 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) #s(literal -2 binary64))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(approx (exp (neg x)) #s(literal 1 binary64))) #s(literal -2 binary64))) |
#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 (/.f64 (*.f64 x (+.f64 eps eps)) #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (cosh.f64 (/.f64 (*.f64 x (+.f64 eps eps)) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (*.f64 x eps)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (cosh.f64 (*.f64 x eps))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64)))) (fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (exp.f64 (*.f64 (neg.f64 x) eps))) #s(literal 1/2 binary64)))) |
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x |
eps |
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(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) |
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(fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) |
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#s(literal 1/2 binary64) |
#s(literal -1 binary64) |
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#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
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#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x))) |
#s(approx (- 1 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) |
#s(approx (- (neg x) -1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) |
#s(approx (* (- (/ 1 x) 1) x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (* (+ (* (+ (* 1/2 x) -1) x) 1) x) (*.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 x (fma.f64 #s(literal 1/2 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (+ (* 1/2 x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))) eps) eps) #s(literal 1/2 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (*.f64 eps eps))) #s(literal 1/2 binary64)) (*.f64 eps eps) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.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 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1/5040 binary64))) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal -1/720 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1/120 binary64))) (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))) (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/6 binary64) x #s(literal -1/2 binary64))))))) (*.f64 eps eps) (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (exp.f64 x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64))) #s(literal 0 binary64)) eps) eps) eps))) |
#s(approx (cosh (* x eps)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
#s(approx (cosh (* x eps)) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64))) eps) eps (-.f64 #s(literal 0 binary64) (*.f64 x x)))) eps) eps #s(literal 1 binary64))) |
#s(approx eps eps) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
#s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (exp.f64 x))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/6 binary64)) x (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/12 binary64))) #s(literal 0 binary64)) eps) eps) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.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) eps) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (exp.f64 x)) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.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) eps) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (exp.f64 x)) (/.f64 (cosh.f64 (*.f64 x eps)) (exp.f64 x)))) |
Compiled 3 026 to 1 463 computations (51.7% saved)
19 alts after pruning (12 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 273 | 4 | 277 |
| Fresh | 0 | 8 | 8 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 273 | 19 | 292 |
| Status | Accuracy | Program |
|---|---|---|
| 74.6% | (/.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 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))))) #s(literal 2 binary64)) | |
| 39.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp x) #s(literal 1 binary64)))) | |
| 69.0% | #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)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 1/2 binary64))) | |
| ✓ | 85.1% | #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)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
| 16.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) | |
| 47.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (neg.f64 x)) #s(literal -1 binary64)))) | |
| ✓ | 39.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
| 69.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x)))) | |
| 29.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))) | |
| ✓ | 39.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
| 33.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x)))) | |
| 3.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x)))) | |
| ✓ | 17.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))) |
| ✓ | 14.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)))) |
| 14.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64)) x)))) | |
| 1.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) | |
| 14.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))) | |
| ✓ | 2.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
| ✓ | 39.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 1 025 to 830 computations (19% 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) 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(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (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 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))) |
#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)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.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 (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x #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) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.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 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.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) (fma.f64 (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) #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 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 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 (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)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps))) #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)) (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 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 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 #s(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
(/.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)) |
4 calls:
| 12.0ms | x |
| 8.0ms | eps |
| 6.0ms | (/.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)) |
| 6.0ms | (-.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 |
|---|---|---|
| 99.6% | 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))))) |
| 99.6% | 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)) |
| 99.6% | 2 | x |
| 100.0% | 3 | eps |
Compiled 50 to 40 computations (20% 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) 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(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (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 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))) |
#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)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.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 (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x #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) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.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 #s(approx (exp (neg x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.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) (fma.f64 (fma.f64 (+.f64 (/.f64 x eps) x) (-.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 x eps) x) (-.f64 eps #s(literal -1 binary64)))) #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 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 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 (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)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (-.f64 #s(literal 1 binary64) eps) 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) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.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 (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
3 calls:
| 12.0ms | x |
| 6.0ms | (/.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)) |
| 6.0ms | (-.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 |
|---|---|---|
| 99.6% | 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))))) |
| 99.6% | 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 |
Compiled 49 to 38 computations (22.4% 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) 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(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (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 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))) |
#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)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.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 (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x #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(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (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(approx (exp (neg x)) #s(literal 1 binary64)) (cosh.f64 (*.f64 x eps)))) |
2 calls:
| 9.0ms | (/.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)) |
| 5.0ms | (-.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 |
|---|---|---|
| 99.4% | 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))))) |
| 99.4% | 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)) |
Compiled 48 to 36 computations (25% 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) 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(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (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 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) (/.f64 x (exp.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (/.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) x)))) |
#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)) (* 2 (cosh (* x eps)))) (/.f64 #s(literal 2 binary64) (exp.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) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (exp.f64 (neg.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))) |
4 calls:
| 10.0ms | eps |
| 6.0ms | x |
| 4.0ms | (/.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)) |
| 4.0ms | (-.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 |
|---|---|---|
| 72.1% | 2 | x |
| 70.9% | 2 | eps |
| 69.0% | 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))))) |
| 69.0% | 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)) |
Compiled 50 to 40 computations (20% 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) 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(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (fma.f64 #s(approx (+ (* 1/2 x) -1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64)) x)))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (/.f64 (*.f64 x x) (neg.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) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))) |
4 calls:
| 57.0ms | (/.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)) |
| 4.0ms | eps |
| 4.0ms | x |
| 3.0ms | (-.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 |
|---|---|---|
| 50.6% | 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))))) |
| 50.6% | 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)) |
| 49.0% | 2 | eps |
| 64.9% | 3 | x |
Compiled 50 to 40 computations (20% 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp 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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) (*.f64 (*.f64 (*.f64 #s(literal 0 binary64) 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(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 #s(approx (+ (* (+ (* 1/2 x) -1) x) 1) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x)))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 3 | 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 (neg.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) #s(approx (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(approx (exp 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 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(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.9% | 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp x)) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (* (exp (neg x)) (* 2 (cosh (* x eps)))) 1/2) #s(approx (- (neg x) -1) (neg.f64 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)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (+ (* (+ (* (+ (/ x eps) x) (- eps 1)) (* (- (/ x eps) x) (- eps -1))) 1/2) 1) #s(approx (* (* (* 0 x) eps) 1/2) #s(literal 0 binary64)))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.6% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
Total -23.7b remaining (-61.2%)
Threshold costs -23.7b (-61.2%)
| 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 (* (* 2 (/ (+ x 1) (exp x))) 1/2) #s(approx (/ x (exp 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:
| 1.0ms | x |
| 1.0ms | eps |
| 1.0ms | (/.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)) |
| 1.0ms | (-.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 |
|---|---|---|
| 39.5% | 1 | eps |
| 39.5% | 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))))) |
| 39.5% | 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)) |
| 39.5% | 1 | x |
Compiled 50 to 40 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 2.3935926691178936e-17 | 1.396739465988837e-6 |
| 15.0ms | 56× | 1 | valid |
| 9.0ms | 104× | 0 | valid |
Compiled 562 to 504 computations (10.3% saved)
ival-exp: 7.0ms (35.3% of total)ival-mult!: 4.0ms (20.2% of total)adjust: 2.0ms (10.1% of total)ival-neg: 2.0ms (10.1% of total)ival-div!: 2.0ms (10.1% of total)ival-sub!: 1.0ms (5% of total)ival-add!: 1.0ms (5% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.0 |
Compiled 28 to 24 computations (14.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.0 |
Compiled 28 to 24 computations (14.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.5892932037311382e+224 | 1.6170472094904216e+225 |
| 8.0ms | 48× | 0 | valid |
Compiled 251 to 240 computations (4.4% saved)
ival-sub!: 4.0ms (57% of total)ival-exp: 1.0ms (14.2% of total)ival-mult!: 1.0ms (14.2% of total)ival-div!: 1.0ms (14.2% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.5892932037311382e+224 | 1.6170472094904216e+225 |
| 35.0ms | 0.0617542924417492 | 15012.768032022484 |
| 16.0ms | 61× | 1 | valid |
| 7.0ms | 83× | 0 | valid |
Compiled 962 to 939 computations (2.4% saved)
ival-exp: 6.0ms (31.9% of total)adjust: 3.0ms (16% of total)ival-mult!: 3.0ms (16% of total)ival-neg: 2.0ms (10.6% of total)ival-div!: 2.0ms (10.6% of total)ival-add!: 1.0ms (5.3% of total)ival-sub!: 1.0ms (5.3% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.5892932037311382e+224 | 1.6170472094904216e+225 |
| 1.0ms | 0.0617542924417492 | 15012.768032022484 |
Compiled 935 to 912 computations (2.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.0617542924417492 | 15012.768032022484 |
Compiled 689 to 672 computations (2.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 0.0617542924417492 | 15012.768032022484 |
| 13.0ms | 35× | 1 | valid |
| 7.0ms | 78× | 0 | valid |
| 6.0ms | 15× | 2 | valid |
Compiled 599 to 582 computations (2.8% saved)
ival-mult!: 8.0ms (36.2% of total)ival-exp: 5.0ms (22.6% of total)adjust: 3.0ms (13.6% of total)ival-neg: 2.0ms (9% of total)ival-div!: 2.0ms (9% of total)ival-add!: 1.0ms (4.5% of total)ival-sub!: 1.0ms (4.5% of total)| 1× | fuel |
Compiled 203 to 122 computations (39.9% saved)
Compiled 228 to 141 computations (38.2% saved)
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