
Time bar (total: 6.9s)
| 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)
| 1.6s | 2 301× | 1 | valid |
| 991.0ms | 5 955× | 0 | valid |
| 117.0ms | 950× | 0 | exit |
ival-mult: 1.1s (48.9% of total)ival-exp: 403.0ms (17.1% of total)ival-sub: 201.0ms (8.5% of total)ival-div: 186.0ms (7.9% of total)adjust: 180.0ms (7.7% of total)ival-add: 117.0ms (5% of total)ival-neg: 100.0ms (4.3% of total)exact: 13.0ms (0.6% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 66 | 4 | (4.1854280392654126e-162 -0.000812830318177723) | 0 | - | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) eps) |
| 0 | 0 | - | 0 | - | eps |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
| 0 | 0 | - | 0 | - | (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
| 0 | 0 | - | 0 | - | (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
| 0 | 0 | - | 0 | - | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | cancellation | 70 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 66 | 0 |
| - | 4 | 186 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 66 | 0 | 0 |
| - | 4 | 0 | 186 |
| number | freq |
|---|---|
| 0 | 186 |
| 1 | 70 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 136× | 1 | valid |
| 53.0ms | 376× | 0 | valid |
Compiled 315 to 61 computations (80.6% saved)
ival-exp: 21.0ms (26.5% of total)ival-mult: 17.0ms (21.5% of total)ival-div: 10.0ms (12.6% of total)ival-sub: 9.0ms (11.4% of total)adjust: 9.0ms (11.4% of total)ival-add: 7.0ms (8.8% of total)ival-neg: 5.0ms (6.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 182 |
| 1 | 211 | 172 |
| 2 | 666 | 163 |
| 3 | 3285 | 162 |
| 0 | 19 | 29 |
| 0 | 34 | 29 |
| 1 | 72 | 29 |
| 2 | 189 | 27 |
| 3 | 846 | 27 |
| 4 | 5066 | 27 |
| 0 | 8197 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) eps)) x) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) |
(abs eps)
Compiled 29 to 19 computations (34.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.0% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
Compiled 29 to 19 computations (34.5% saved)
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(-.f64 #s(literal 1 binary64) eps) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(+.f64 #s(literal 1 binary64) eps) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- eps 1))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1)))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (* x (- 1 eps)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (/ 1 eps) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps)))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps))))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* x (+ 1 eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (- (* eps x) x)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 eps)))))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* x (- 1 eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 eps)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) |
#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))))))) |
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) |
| 4.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
| 3.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
| 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 | 552 | 4217 |
| 1 | 3289 | 4215 |
| 0 | 8859 | 4017 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.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 |
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(-.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) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps)))) |
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#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1)))) |
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#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))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)))) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1)) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps)))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps x))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) (* -1 x))))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps x)))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (* eps (+ (* -1 x) (/ x eps))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (+ 1 eps))))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 -1)) |
#s(approx (- (/ 1 eps) 1) #s(hole binary64 (- (/ 1 eps) 1))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps x)))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x)))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps x))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* eps (+ x (/ x eps))))) |
#s(approx (+ 1 eps) #s(hole binary64 eps)) |
#s(approx (+ 1 eps) #s(hole binary64 (* eps (+ 1 (/ 1 eps))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
#s(approx (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) x))))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (* -1 (* eps (+ x (* -1 (/ x eps))))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(hole binary64 (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(hole binary64 (exp (neg (* x (- 1 (* -1 eps))))))) |
#s(approx (neg (* (+ 1 eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x)))))) |
#s(approx (* (+ 1 eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
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x |
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#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) x #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))) x (*.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (fma.f64 (*.f64 x (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x (pow.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal 1/6 binary64) (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x eps) #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
#s(approx (* (- 1 eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
#s(approx x x) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (neg.f64 x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (fma.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x)) x (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 #s(literal -1 binary64) (fma.f64 x eps x) #s(literal 1 binary64))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 1 binary64))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 1 binary64))) |
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 (fma.f64 x eps x))) |
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (*.f64 x eps) x))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) (*.f64 eps eps) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (+ 1 (/ 1 eps)) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (+ 1 (/ 1 eps)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) |
#s(approx (/ 1 eps) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx eps eps) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (neg (* (- 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (- 1 eps) x)) (-.f64 (*.f64 x eps) x)) |
#s(approx (* (- 1 eps) x) x) |
#s(approx (* (- 1 eps) x) (fma.f64 (neg.f64 eps) x x)) |
#s(approx (- 1 eps) #s(literal 1 binary64)) |
#s(approx (- 1 eps) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (- (/ 1 eps) 1) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (- (/ 1 eps) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (+ 1 eps) x)) (-.f64 (*.f64 (neg.f64 eps) x) x)) |
#s(approx (* (+ 1 eps) x) x) |
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x)) |
#s(approx (+ 1 eps) #s(literal 1 binary64)) |
#s(approx (+ 1 eps) (+.f64 eps #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) eps)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) eps) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) eps) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) |
#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ 1 eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x eps) x)) eps)) |
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) x)) |
#s(approx (* (- 1 eps) x) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)) eps)) |
#s(approx (- 1 eps) (neg.f64 eps)) |
#s(approx (- 1 eps) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (/.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) eps))) |
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) |
#s(approx (- (/ 1 eps) 1) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) x)) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps)) |
#s(approx (* (+ 1 eps) x) (*.f64 x eps)) |
#s(approx (* (+ 1 eps) x) (*.f64 (+.f64 (/.f64 x eps) x) eps)) |
#s(approx (+ 1 eps) eps) |
#s(approx (+ 1 eps) (fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) #s(literal 1/2 binary64)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) eps) #s(literal -1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) eps) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (exp (neg (* (- 1 eps) x))) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) x))) |
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) x))) |
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))) eps))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x)))) |
#s(approx (* (+ 1 eps) x) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x eps) x)))) |
Compiled 10 930 to 1 447 computations (86.8% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 267 | 6 | 273 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 268 | 6 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 39.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| ▶ | 40.5% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| ▶ | 40.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 57.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) | |
| ▶ | 99.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
| ▶ | 44.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 450 to 296 computations (34.2% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(neg.f64 x) |
x |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(neg.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(approx (exp (neg (* (- 1 eps) x))) #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)))) |
(-.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) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64))) |
#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(-.f64 eps #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))) (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))))))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1)) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* -1 (* x (- 1 eps)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* 1/2 (* x (pow (- 1 eps) 2)))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* x (+ (* -1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2))))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* x (- 1 eps))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps)))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 2)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (/ 1 eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- eps 1))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1))))) |
#s(approx (* (- (/ 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 (neg (* (- 1 eps) x)) #s(hole binary64 (* x (- eps 1)))) |
#s(approx (* (- 1 eps) x) #s(hole binary64 (* x (- 1 eps)))) |
#s(approx (+ (* (- eps 1) x) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- eps 1) x) 1) #s(hole binary64 (+ 1 (* x (- eps 1))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps)))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (- 1 eps)))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg (+ x (* eps x))))))) |
#s(approx (exp (neg (+ (* x 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))))) #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 (+ (* (- eps 1) x) 1) #s(hole binary64 (* x (- eps 1)))) |
#s(approx (+ (* (- eps 1) x) 1) #s(hole binary64 (* x (- (+ eps (/ 1 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 (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (* -1 (* x (- 1 eps)))) (exp (- (* -1 x) (* eps x))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (* -1 (* x (- 1 eps)))) (exp (- (* -1 x) (* eps x)))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (- (* -1 x) (* eps x)))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (- (* -1 x) (* eps x))))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (- 1 (* -1 eps)))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* 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 (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 (* (- (/ 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 (neg (* (- 1 eps) x)) #s(hole binary64 (* -1 (* x (- 1 eps))))) |
#s(approx (+ (* (- eps 1) x) 1) #s(hole binary64 (* -1 (* x (- (* -1 (- eps 1)) (/ 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 810 | 6908 |
| 0 | 871 | 6490 |
| 1 | 5295 | 6488 |
| 0 | 8165 | 6320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
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#s(approx (+ 1 eps) #s(hole binary64 (+ 1 eps))) |
#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 (+ (* (- eps 1) x) 1) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (+ (* (- eps 1) x) 1) #s(hole binary64 (+ 1 (+ (* -1 x) (* eps x))))) |
#s(approx (- eps 1) #s(hole binary64 -1)) |
#s(approx (- eps 1) #s(hole binary64 (- eps 1))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps x))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps)))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1)))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps x)))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x)))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)))) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1)) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps)))) |
#s(approx (* (- (/ 1 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 (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 (+ (* (- eps 1) x) 1) #s(hole binary64 (* eps x))) |
#s(approx (+ (* (- eps 1) x) 1) #s(hole binary64 (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps)))))) |
#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))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps)))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x)))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps)))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (- (/ 1 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))))))) |
#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 (+ (* (- eps 1) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps))))))) |
#s(approx (- eps 1) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) eps)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (pow.f64 (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64)) (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))))))) |
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) |
(+.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) |
(pow.f64 (exp.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x) |
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) eps)) x) |
(pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) |
(/.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) eps)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) eps))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(+.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) eps)) x) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) |
(*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
x |
(pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 #s(literal 1 binary64) eps)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) eps) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
eps |
(*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
(neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
(*.f64 (exp.f64 (*.f64 (neg.f64 eps) x)) (exp.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (neg.f64 eps) x))) |
(pow.f64 (exp.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x) |
(pow.f64 (exp.f64 (+.f64 eps #s(literal 1 binary64))) (neg.f64 x)) |
(pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) |
(pow.f64 (exp.f64 x) (neg.f64 (+.f64 eps #s(literal 1 binary64)))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 x eps x)) |
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 eps #s(literal 1 binary64))) |
(/.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) eps)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))) |
(-.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(+.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(*.f64 (fma.f64 x eps x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) x) |
(*.f64 (neg.f64 x) (+.f64 eps #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 x eps x)) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(*.f64 x (neg.f64 (+.f64 eps #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 x eps) #s(literal 2 binary64))) (fma.f64 x eps (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x eps) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (+.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 x eps))))) |
(neg.f64 (fma.f64 x eps x)) |
(fma.f64 (neg.f64 eps) x (neg.f64 x)) |
(fma.f64 (*.f64 x eps) #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 eps) x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 eps) x)) |
(-.f64 (neg.f64 x) (*.f64 x eps)) |
(+.f64 (*.f64 (neg.f64 eps) x) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 (neg.f64 eps) x)) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 eps #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 x eps) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 x (*.f64 x eps))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (*.f64 x (*.f64 x eps))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x)))) |
(fma.f64 x eps x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x eps)) |
(fma.f64 eps x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x eps)) |
(-.f64 x (*.f64 (neg.f64 eps) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x eps)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x eps)) |
(+.f64 (*.f64 x eps) x) |
(+.f64 x (*.f64 x eps)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))) |
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#s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) |
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#s(approx (neg (* (+ 1 eps) x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x)) |
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#s(approx (* (- 1 eps) x) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (+ (* (- eps 1) x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (- eps 1) x) 1) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) |
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#s(approx (exp (neg (* (+ 1 eps) x))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
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#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (*.f64 x eps) x))) |
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#s(approx (exp (neg (* (+ 1 eps) x))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
#s(approx (+ (* (- eps 1) x) 1) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
#s(approx (+ (* (- eps 1) x) 1) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) eps) #s(literal 1 binary64)) x)) |
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#s(approx (exp (neg (* (+ 1 eps) x))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) |
#s(approx (* (+ 1 eps) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 eps) #s(literal 1 binary64)))) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
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#s(approx (exp (neg (* (+ 1 eps) x))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (+ (* (- eps 1) x) 1) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (-.f64 eps #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64))))) |
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#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))))) |
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#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
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#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (neg.f64 x))) |
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#s(approx (neg (* (- 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (- 1 eps) x)) (fma.f64 x eps (neg.f64 x))) |
#s(approx (- 1 eps) #s(literal 1 binary64)) |
#s(approx (- 1 eps) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
#s(approx eps eps) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (exp.f64 (neg.f64 x)))) |
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#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 x))) |
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#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (+ 1 eps) x)) (-.f64 (*.f64 (neg.f64 eps) x) x)) |
#s(approx (* (+ 1 eps) x) x) |
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (+ 1 (/ 1 eps)) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (+ 1 (/ 1 eps)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) |
#s(approx (/ 1 eps) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x)) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (- (/ 1 eps) 1) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (- (/ 1 eps) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (neg (* (+ 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (+ 1 eps) x)) (-.f64 (*.f64 (neg.f64 eps) x) x)) |
#s(approx (* (+ 1 eps) x) x) |
#s(approx (* (+ 1 eps) x) (fma.f64 x eps x)) |
#s(approx (+ 1 eps) #s(literal 1 binary64)) |
#s(approx (+ 1 eps) (+.f64 eps #s(literal 1 binary64))) |
#s(approx (neg (* (- 1 eps) x)) (neg.f64 x)) |
#s(approx (neg (* (- 1 eps) x)) (-.f64 (*.f64 x eps) x)) |
#s(approx (* (- 1 eps) x) x) |
#s(approx (* (- 1 eps) x) (fma.f64 (neg.f64 eps) x x)) |
#s(approx (+ (* (- eps 1) x) 1) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
#s(approx (+ (* (- eps 1) x) 1) (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) |
#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))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) eps)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) x) eps)) |
#s(approx (- 1 eps) (neg.f64 eps)) |
#s(approx (- 1 eps) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) x)) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps)) |
#s(approx (* (+ 1 eps) x) (*.f64 x eps)) |
#s(approx (* (+ 1 eps) x) (*.f64 (+.f64 (/.f64 x eps) x) eps)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) eps) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) eps) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))))) |
#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ 1 eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) eps))) |
#s(approx (- (/ 1 eps) 1) #s(literal -1 binary64)) |
#s(approx (- (/ 1 eps) 1) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) x)) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps)) |
#s(approx (* (+ 1 eps) x) (*.f64 x eps)) |
#s(approx (* (+ 1 eps) x) (*.f64 (+.f64 (/.f64 x eps) x) eps)) |
#s(approx (+ 1 eps) eps) |
#s(approx (+ 1 eps) (fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x eps) x)) eps)) |
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) x)) |
#s(approx (* (- 1 eps) x) (*.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)) eps)) |
#s(approx (+ (* (- eps 1) x) 1) (*.f64 x eps)) |
#s(approx (+ (* (- eps 1) x) 1) (*.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) eps) x) eps)) |
#s(approx (- eps 1) eps) |
#s(approx (- eps 1) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) eps)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x)))) |
#s(approx (* (+ 1 eps) x) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x eps) x)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) eps) #s(literal -1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) eps) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (exp (neg (* (- 1 eps) x))) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))) #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))) eps))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x)))) |
#s(approx (* (+ 1 eps) x) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x eps) x)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) x))) |
#s(approx (* (- 1 eps) x) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 x eps) #s(literal -1 binary64) x))) |
#s(approx (+ (* (- eps 1) x) 1) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) eps) x)))) |
#s(approx (- eps 1) (*.f64 (neg.f64 eps) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
Compiled 23 427 to 2 277 computations (90.3% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 493 | 7 | 500 |
| Fresh | 0 | 1 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 497 | 9 | 506 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 32.5% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| ▶ | 57.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
| ▶ | 63.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
| 63.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 85.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
| 65.0% | #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 (* (- 1 eps) x))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| ▶ | 43.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| 72.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) | |
| ✓ | 44.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 859 to 549 computations (36.1% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)) |
(*.f64 x eps) |
x |
eps |
(neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))) |
(exp.f64 (neg.f64 (fma.f64 x eps x))) |
(neg.f64 (fma.f64 x eps x)) |
(fma.f64 x eps x) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64)) |
(fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) |
#s(literal -1 binary64) |
(+.f64 eps #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(neg.f64 (-.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(neg.f64 x) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))) |
(-.f64 (fma.f64 x eps x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 #s(literal 1 binary64) eps) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
(-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal -1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64)) |
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
| 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 (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1))))))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))))))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2)) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1))))) |
#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 (* x eps) #s(hole binary64 (* eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps)))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))) (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))))))))))) |
#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) #s(hole binary64 (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 1)) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* -1 (* x (- 1 eps)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* 1/2 (* x (pow (- 1 eps) 2)))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ 1 (* x (+ (* -1 (- 1 eps)) (* x (+ (* -1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2))))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* x (- 1 eps))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 -1)) |
#s(approx (- (+ (* x eps) x) 1) #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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 2)) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* -1 (pow x 2))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (+ (* -1 (+ eps 1)) (neg (- 1 eps))) -1 (+ eps 1) 1 (neg (- 1 eps)) (- 1 eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 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 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (pow eps -1) 1) (pow eps -1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x))))) |
| 4.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (+ (* -1 (+ eps 1)) (neg (- 1 eps))) -1 (+ eps 1) 1 (neg (- 1 eps)) (- 1 eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 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 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (pow eps -1) 1) (pow eps -1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x))))) |
| 4.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (+ (* -1 (+ eps 1)) (neg (- 1 eps))) -1 (+ eps 1) 1 (neg (- 1 eps)) (- 1 eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 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 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (pow eps -1) 1) (pow eps -1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x))))) |
| 4.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (+ (* -1 (+ eps 1)) (neg (- 1 eps))) -1 (+ eps 1) 1 (neg (- 1 eps)) (- 1 eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 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 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (pow eps -1) 1) (pow eps -1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x))))) |
| 4.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (+ (* -1 (+ eps 1)) (neg (- 1 eps))) -1 (+ eps 1) 1 (neg (- 1 eps)) (- 1 eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) (neg (exp (neg (+ (* x eps) x)))) (- (+ (* x eps) x) 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 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (pow eps -1) 1) (pow eps -1) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1055 | 8659 |
| 0 | 1108 | 8068 |
| 1 | 7045 | 8068 |
| 0 | 8242 | 7876 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
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(*.f64 x eps) |
x |
eps |
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#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x)))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))))) (* x (exp (* -1 x)))))))))) |
#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(hole binary64 -2)) |
#s(approx (+ eps 1) #s(hole binary64 1)) |
#s(approx (+ eps 1) #s(hole binary64 (+ 1 eps))) |
#s(approx (neg (- 1 eps)) #s(hole binary64 -1)) |
#s(approx (neg (- 1 eps)) #s(hole binary64 (- eps 1))) |
#s(approx (- 1 eps) #s(hole binary64 1)) |
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps)))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x)))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 x))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (+ (* -1 x) (* eps x)))) |
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (- x 1))) |
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (- (+ x (* eps x)) 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)) (* 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 (* (- (/ 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 (- (pow eps -1) 1) #s(hole binary64 (/ 1 eps))) |
#s(approx (- (pow eps -1) 1) #s(hole binary64 (/ (+ 1 (* -1 eps)) eps))) |
#s(approx (pow eps -1) #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 (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (* x (- 1 eps)))) (exp (neg (+ x (* eps x)))))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (exp (neg (+ x (* eps x))))))) |
#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 (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps x)))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x)))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps))))) |
#s(approx (+ eps 1) #s(hole binary64 eps)) |
#s(approx (+ eps 1) #s(hole binary64 (* eps (+ 1 (/ 1 eps))))) |
#s(approx (neg (- 1 eps)) #s(hole binary64 eps)) |
#s(approx (neg (- 1 eps)) #s(hole binary64 (* eps (- 1 (/ 1 eps))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1)))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps x))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* eps (+ x (* -1 (/ x eps)))))) |
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* eps x))) |
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* eps (- (+ x (/ x eps)) (/ 1 eps))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (- 1 eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)))) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 1)) |
#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (+ 1 (/ 1 eps)))) |
#s(approx (* (- (/ 1 eps) 1) (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 (- (pow eps -1) 1) #s(hole binary64 -1)) |
#s(approx (- (pow eps -1) 1) #s(hole binary64 (- (/ 1 eps) 1))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (exp (neg (+ x (* eps x)))))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (exp (neg (+ x (* eps x))))))) |
#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 (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x)))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))) |
#s(approx (neg (- 1 eps)) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (neg x) (- 1 eps)) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (/ x eps)))))) |
#s(approx (- (+ (* x eps) x) 1) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ (- 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 (* -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)))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(*.f64 (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)))) (*.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))) (fma.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (fma.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))) |
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
(exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) |
(+.f64 (cosh.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (sinh.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)) |
(*.f64 x eps) |
(*.f64 eps x) |
x |
eps |
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(pow.f64 (exp.f64 (fma.f64 x eps x)) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 x eps x))) |
(-.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (fma.f64 x eps x))) |
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
(+.f64 (cosh.f64 (fma.f64 x eps x)) (sinh.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (fma.f64 x eps x)) |
(*.f64 (fma.f64 x eps x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (+.f64 eps #s(literal 1 binary64))) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(*.f64 x (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (*.f64 x eps))) (fma.f64 x eps (neg.f64 x))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x eps) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 (*.f64 x eps) (*.f64 x eps) (*.f64 (neg.f64 x) (*.f64 x eps))))) |
(neg.f64 (fma.f64 x eps x)) |
(fma.f64 (neg.f64 eps) x (neg.f64 x)) |
(fma.f64 (*.f64 x eps) #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 eps) x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 eps) x)) |
(-.f64 (neg.f64 x) (*.f64 x eps)) |
(+.f64 (*.f64 (neg.f64 eps) x) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 (neg.f64 eps) x)) |
(*.f64 (+.f64 eps #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 eps #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x x)) (-.f64 (*.f64 x eps) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 x (*.f64 x eps))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x eps) (*.f64 x eps) (-.f64 (*.f64 x x) (*.f64 (*.f64 x eps) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x eps) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x (*.f64 x eps))))) |
(fma.f64 x eps x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x eps)) |
(fma.f64 eps x x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x eps)) |
(-.f64 x (*.f64 (neg.f64 eps) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x eps)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x eps)) |
(+.f64 (*.f64 x eps) x) |
(+.f64 x (*.f64 x eps)) |
#s(literal 1/2 binary64) |
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#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 1 binary64))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) x) #s(literal -1/6 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) #s(literal 1/2 binary64))) x (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 1 binary64))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (- (+ (* x eps) x) 1) #s(literal -1 binary64)) |
#s(approx (- (+ (* x eps) x) 1) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
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#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(literal 1 binary64)) |
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#s(approx (* (+ x 1) (exp (neg x))) #s(literal 1 binary64)) |
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#s(approx (* (+ x 1) (exp (neg x))) (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 (neg 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)) |
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#s(approx (exp (neg x)) #s(literal 1 binary64)) |
#s(approx (exp (neg x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) |
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (exp (neg x)) (fma.f64 (-.f64 (*.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 (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64)) |
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#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) x) #s(literal 1/3 binary64)) x #s(literal 1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
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#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (-.f64 (*.f64 x eps) x))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (exp (neg (+ (* x eps) x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) |
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#s(approx (exp (* (neg x) (- 1 eps))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (- (+ (* x eps) x) 1) (fma.f64 x eps x)) |
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#s(approx (* (+ x 1) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) x)) |
#s(approx (* (+ x 1) (exp (neg x))) (*.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))) x)) |
#s(approx (+ x 1) x) |
#s(approx (+ x 1) (*.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x) #s(literal -1/2 binary64) (*.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (neg.f64 x) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))))) |
#s(approx (* (+ x 1) (exp (neg x))) (*.f64 (exp.f64 (neg.f64 x)) x)) |
#s(approx (* (+ x 1) (exp (neg x))) (*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) (*.f64 eps eps) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x)))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) #s(literal 0 binary64)) eps (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) eps (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 eps (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) x))) eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) #s(literal 0 binary64)) eps (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (* (neg x) (- 1 eps)) (neg.f64 x)) |
#s(approx (* (neg x) (- 1 eps)) (-.f64 (*.f64 x eps) x)) |
#s(approx eps eps) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (*.f64 x eps) (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps) (exp.f64 (neg.f64 x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x)))) eps) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (+ (* x eps) x))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) eps (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps (exp.f64 (neg.f64 x)))) |
#s(approx (neg (+ (* x eps) x)) (neg.f64 x)) |
#s(approx (neg (+ (* x eps) x)) (-.f64 (*.f64 (neg.f64 eps) x) x)) |
#s(approx (+ (* x eps) x) x) |
#s(approx (+ (* x eps) x) (fma.f64 x eps x)) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) eps (*.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)))) eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) #s(literal 0 binary64)) eps (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))))) eps (*.f64 (*.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)) #s(literal 1/2 binary64))) eps (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
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#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) #s(literal 0 binary64)) eps)) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps))) |
#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) |
#s(approx (+ eps 1) #s(literal 1 binary64)) |
#s(approx (+ eps 1) (+.f64 eps #s(literal 1 binary64))) |
#s(approx (neg (- 1 eps)) #s(literal -1 binary64)) |
#s(approx (neg (- 1 eps)) (-.f64 eps #s(literal 1 binary64))) |
#s(approx (- 1 eps) #s(literal 1 binary64)) |
#s(approx (- 1 eps) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
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#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (* (neg x) (- 1 eps)) (neg.f64 x)) |
#s(approx (* (neg x) (- 1 eps)) (fma.f64 x eps (neg.f64 x))) |
#s(approx (- (+ (* x eps) x) 1) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ (* x eps) x) 1) (-.f64 (fma.f64 x eps x) #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 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) (exp.f64 (neg.f64 x))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (+ 1 (/ 1 eps)) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (+ 1 (/ 1 eps)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) |
#s(approx (pow eps -1) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) x)) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (/.f64 (fma.f64 (+.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps)) eps (exp.f64 (neg.f64 x))) eps)) |
#s(approx (- (pow eps -1) 1) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)) |
#s(approx (pow eps -1) (pow.f64 eps #s(literal -1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps)))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 x eps) x)) eps)) |
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) x)) |
#s(approx (neg (+ (* x eps) x)) (*.f64 (-.f64 (/.f64 (neg.f64 x) eps) x) eps)) |
#s(approx (+ (* x eps) x) (*.f64 x eps)) |
#s(approx (+ (* x eps) x) (*.f64 (+.f64 (/.f64 x eps) x) eps)) |
#s(approx (+ eps 1) eps) |
#s(approx (+ eps 1) (*.f64 (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (neg (- 1 eps)) eps) |
#s(approx (neg (- 1 eps)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) eps)) |
#s(approx (- 1 eps) (neg.f64 eps)) |
#s(approx (- 1 eps) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 x eps)) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 (fma.f64 (/.f64 x eps) #s(literal -1 binary64) x) eps)) |
#s(approx (- (+ (* x eps) x) 1) (*.f64 x eps)) |
#s(approx (- (+ (* x eps) x) 1) (*.f64 (+.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) eps)) eps)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) eps) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (+ 1 (/ 1 eps)) #s(literal 1 binary64)) |
#s(approx (+ 1 (/ 1 eps)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps))) |
#s(approx (- (pow eps -1) 1) #s(literal -1 binary64)) |
#s(approx (- (pow eps -1) 1) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) x))) |
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x)))) |
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x eps) x)))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (neg (- 1 eps)) (*.f64 (neg.f64 eps) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
#s(approx (- (+ (* x eps) x) 1) (*.f64 (neg.f64 eps) (fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) eps) #s(literal -1 binary64) (neg.f64 x)))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) eps) #s(literal -1 binary64) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) eps) (exp.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (neg.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) eps))) |
Compiled 32 333 to 2 740 computations (91.5% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 529 | 15 | 544 |
| Fresh | 3 | 0 | 3 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 537 | 16 | 553 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) | |
| ▶ | 86.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))) |
| 63.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/2 binary64))) | |
| 64.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) | |
| 65.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) | |
| 51.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 55.1% | #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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| ▶ | 51.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| 51.1% | #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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 43.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 43.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
| 43.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 53.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ▶ | 43.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 72.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x)))) | |
| ✓ | 44.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 1 851 to 1 135 computations (38.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) |
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)) |
(*.f64 x eps) |
x |
eps |
(neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) |
(exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))) |
(neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))) |
#s(approx (+ (* x eps) x) (*.f64 x eps)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64)) |
(fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
(+.f64 eps #s(literal 1 binary64)) |
#s(approx (neg (- 1 eps)) #s(literal -1 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
(fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 eps eps)) |
(*.f64 eps eps) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64))) |
(-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) |
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) eps) |
(fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64)) |
#s(literal 4 binary64) |
(-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #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 (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1))))))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))))))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2)) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1))))) |
#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 (* x eps) #s(hole binary64 (* eps x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 -1)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (+ 1 eps)) 1))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* -1/2 (* x (pow (+ 1 eps) 2))) (* -1 (+ 1 eps)))) 1))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* x (- (* x (- (* 1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))) (* -1 (+ 1 eps)))) 1))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 1)) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* -1 (* x (+ 1 eps)))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* x (+ 1 eps))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* x (+ 1 eps)))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 1)) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* 1/2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))) (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 2)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (* -1 (- 1 eps))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- 1 eps) 2)))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ 2 (* x (+ (* -1 (+ 1 eps)) (+ (* -1 (- 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* -1/6 (pow (- 1 eps) 3))))))))))))) |
#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) #s(hole binary64 (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))) |
#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) #s(hole binary64 (+ 2 (* x (- (+ (* -1 (+ 1 eps)) (/ (pow eps 2) (+ 1 eps))) (/ 1 (+ 1 eps))))))) |
#s(approx (/ (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) #s(hole binary64 2)) |
#s(approx (/ (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) #s(hole binary64 (+ 2 (* x (- (+ (* -1 eps) (* -1 (- 1 eps))) 1))))) |
#s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(hole binary64 -4)) |
#s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(hole binary64 (- (* (pow x 2) (pow (- (+ (* -1 eps) (* -1 (- 1 eps))) 1) 2)) 4))) |
#s(approx (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) #s(hole binary64 (* (pow x 2) (pow (- (+ (* -1 eps) (* -1 (- 1 eps))) 1) 2)))) |
#s(approx (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) #s(hole binary64 (* x (- (+ (* -1 eps) (* -1 (- 1 eps))) 1)))) |
#s(approx (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2) #s(hole binary64 -2)) |
#s(approx (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2) #s(hole binary64 (- (* x (- (+ (* -1 eps) (* -1 (- 1 eps))) 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 (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x)))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (- (* eps x) x))))) |
#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (- (* eps x) x)))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg (+ x (* eps x))))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg (+ x (* eps x)))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* 1/2 (* x (- (exp (neg x)) (* -1 (exp (neg x)))))))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) #s(hole binary64 (* x (+ (* 1/2 (- (exp (neg x)) (* -1 (exp (neg x))))) (* 1/2 (/ (- (exp (neg x)) (* -1 (exp (neg x)))) x)))))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* -1/2 (pow x 2)))) |
#s(approx (+ (* (* x x) -1/2) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/2)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps)))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (- 1 eps))))))) |
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#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))) |
#s(approx (neg (- 1 eps)) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1))))) |
#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1))))) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (+ (* -1 (+ eps 1)) (neg (- 1 eps))) -1 (+ eps 1) (neg (- 1 eps)) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) (neg (/ (- 1 (* eps eps)) (+ eps 1))) (/ (- 1 (* eps eps)) (+ eps 1)) (- 1 (* eps eps)) (* eps eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/ (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) (- 1 eps) (+ (* -1 eps) -1) 4 (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) |
| 13.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (+ (* -1 (+ eps 1)) (neg (- 1 eps))) -1 (+ eps 1) (neg (- 1 eps)) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) (neg (/ (- 1 (* eps eps)) (+ eps 1))) (/ (- 1 (* eps eps)) (+ eps 1)) (- 1 (* eps eps)) (* eps eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/ (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) (- 1 eps) (+ (* -1 eps) -1) 4 (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) |
| 10.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (+ (* -1 (+ eps 1)) (neg (- 1 eps))) -1 (+ eps 1) (neg (- 1 eps)) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) (neg (/ (- 1 (* eps eps)) (+ eps 1))) (/ (- 1 (* eps eps)) (+ eps 1)) (- 1 (* eps eps)) (* eps eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/ (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) (- 1 eps) (+ (* -1 eps) -1) 4 (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) |
| 10.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (+ (* -1 (+ eps 1)) (neg (- 1 eps))) -1 (+ eps 1) (neg (- 1 eps)) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) (neg (/ (- 1 (* eps eps)) (+ eps 1))) (/ (- 1 (* eps eps)) (+ eps 1)) (- 1 (* eps eps)) (* eps eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/ (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) (- 1 eps) (+ (* -1 eps) -1) 4 (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) |
| 6.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* x eps) x eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (+ (* (* x x) -1/2) 1) (* x x) -1/2 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) (+ (* -1 (+ eps 1)) (neg (- 1 eps))) -1 (+ eps 1) (neg (- 1 eps)) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) (neg (/ (- 1 (* eps eps)) (+ eps 1))) (/ (- 1 (* eps eps)) (+ eps 1)) (- 1 (* eps eps)) (* eps eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/ (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) (- 1 eps) (+ (* -1 eps) -1) 4 (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 828 | 7066 |
| 0 | 873 | 6012 |
| 1 | 5387 | 6008 |
| 0 | 8130 | 5816 |
| 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 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)) |
(-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) |
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)) |
(*.f64 x eps) |
x |
eps |
(neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) |
(exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))) |
(neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))) |
#s(approx (+ (* x eps) x) (*.f64 x eps)) |
#s(literal 1/2 binary64) |
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(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
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#s(literal 1 binary64) |
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(fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64)) |
(fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
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#s(approx (neg (- 1 eps)) #s(literal -1 binary64)) |
#s(literal 2 binary64) |
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(fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64)) |
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(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 (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (exp (neg x)))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))))))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x)))))))))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (exp (neg x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (* (pow x 2) (exp (neg x))))))))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (* 2 (exp (neg x))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (neg x)))))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (* 2 (exp (neg x))) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (neg x)))))) (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))))) |
#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 eps #s(hole binary64 eps)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (* -1 (exp (neg x))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (* x (exp (neg x)))) (exp (neg x))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* -1/2 (* eps (* (pow x 2) (exp (neg x))))) (* -1 (* x (exp (neg x)))))) (exp (neg x))))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(hole binary64 (- (* eps (- (* eps (- (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* -1 (* x (exp (neg x)))))) (exp (neg x))))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (exp (neg x)))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(hole binary64 (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x)))))))) |
#s(approx (exp (neg (+ (* x 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 (+ (* x 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 (+ (* x eps) x)) #s(hole binary64 (* -1 x))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (- (* -1 (* eps x)) x))) |
#s(approx (+ (* x eps) x) #s(hole binary64 x)) |
#s(approx (+ (* x eps) x) #s(hole binary64 (+ x (* eps x)))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x)))))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* x (exp (* -1 x))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x)))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (neg x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (neg x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))))) (* x (exp (* -1 x)))))))))) |
#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (- 1 eps))) x) 2) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(hole binary64 -2)) |
#s(approx (+ eps 1) #s(hole binary64 1)) |
#s(approx (+ eps 1) #s(hole binary64 (+ 1 eps))) |
#s(approx (neg (- 1 eps)) #s(hole binary64 -1)) |
#s(approx (neg (- 1 eps)) #s(hole binary64 (- eps 1))) |
#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(hole binary64 -2)) |
#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) #s(hole binary64 -1)) |
#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) #s(hole binary64 (- eps 1))) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) #s(hole binary64 1)) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) #s(hole binary64 (+ 1 (* -1 eps)))) |
#s(approx (- 1 (* eps eps)) #s(hole binary64 1)) |
#s(approx (- 1 (* eps eps)) #s(hole binary64 (+ 1 (* -1 (pow eps 2))))) |
#s(approx (* eps eps) #s(hole binary64 (pow eps 2))) |
#s(approx (/ (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2)) #s(hole binary64 (/ (- (* 4 (pow x 2)) 4) (- (* -2 x) 2)))) |
#s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(hole binary64 (- (* 4 (pow x 2)) 4))) |
#s(approx (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) #s(hole binary64 (* 4 (pow x 2)))) |
#s(approx (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) #s(hole binary64 (* -2 x))) |
#s(approx (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) #s(hole binary64 -2)) |
#s(approx (- 1 eps) #s(hole binary64 1)) |
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps)))) |
#s(approx (+ (* -1 eps) -1) #s(hole binary64 -1)) |
#s(approx (+ (* -1 eps) -1) #s(hole binary64 (- (* -1 eps) 1))) |
#s(approx (- (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) 2) #s(hole binary64 (- (* -2 x) 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 (- 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 (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (* x (- 1 eps)))) (exp (neg (+ x (* eps x)))))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (* x (- 1 eps)))) (exp (neg (+ x (* eps x))))))) |
#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 (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps x)))) |
#s(approx (neg (+ (* x eps) x)) #s(hole binary64 (* eps (- (* -1 (/ x eps)) x)))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps x))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* eps (+ x (/ x eps))))) |
#s(approx (+ eps 1) #s(hole binary64 eps)) |
#s(approx (+ eps 1) #s(hole binary64 (* eps (+ 1 (/ 1 eps))))) |
#s(approx (neg (- 1 eps)) #s(hole binary64 eps)) |
#s(approx (neg (- 1 eps)) #s(hole binary64 (* eps (- 1 (/ 1 eps))))) |
#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) #s(hole binary64 eps)) |
#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) #s(hole binary64 (* eps (- 1 (/ 1 eps))))) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) #s(hole binary64 (* -1 eps))) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) #s(hole binary64 (* eps (- (/ 1 eps) 1)))) |
#s(approx (- 1 (* eps eps)) #s(hole binary64 (* -1 (pow eps 2)))) |
#s(approx (- 1 (* eps eps)) #s(hole binary64 (* (pow eps 2) (- (/ 1 (pow eps 2)) 1)))) |
#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) #s(hole binary64 (* -1 eps))) |
#s(approx (+ (* -1 eps) -1) #s(hole binary64 (* -1 (* eps (+ 1 (/ 1 eps)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (exp (neg (+ x (* eps x)))))))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (* x (+ 1 (* -1 eps))))) (exp (neg (+ x (* eps x))))))) |
#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 (neg (+ (* x eps) x)) #s(hole binary64 (* -1 (* eps (- (/ x eps) (* -1 x)))))) |
#s(approx (+ (* x eps) x) #s(hole binary64 (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps))))))) |
#s(approx (* (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) 1/2) #s(hole binary64 (* 1/2 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps))))))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(hole binary64 (+ (exp (neg (+ x (* eps x)))) (exp (* -1 (* x (+ 1 (* -1 eps)))))))) |
#s(approx (neg (- 1 eps)) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1))))) |
#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) #s(hole binary64 (* -1 (* eps (- (/ 1 eps) 1))))) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
#s(approx (- 1 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) |
(*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) #s(literal 2 binary64))) (+.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) #s(literal 2 binary64)) (*.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))))) |
(-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) |
(exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) |
(+.f64 (cosh.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (sinh.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 x eps)) |
(*.f64 x eps) |
(*.f64 eps x) |
x |
eps |
(neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) |
(pow.f64 (exp.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (exp.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))) |
(-.f64 (cosh.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))) (sinh.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))) |
(exp.f64 (-.f64 #s(literal 0 binary64) #s(approx (+ (* x eps) x) (*.f64 x eps)))) |
(exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))) |
(+.f64 (cosh.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))) (sinh.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) |
(neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))) |
#s(approx (+ (* x eps) x) (*.f64 x eps)) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
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#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) #s(literal 2 binary64)) |
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#s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) |
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#s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) eps) #s(literal 1 binary64)) x #s(literal 1 binary64))) |
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#s(approx (neg (* (- 1 eps) x)) (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
#s(approx (* x eps) (*.f64 x eps)) |
#s(approx x x) |
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#s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)) |
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#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x #s(literal 1 binary64))) |
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#s(approx (+ (* x eps) x) (fma.f64 x eps x)) |
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#s(approx (+ (* (* x x) -1/2) 1) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
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#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) #s(literal 2 binary64)) |
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#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) #s(literal 2 binary64)) |
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#s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) #s(literal 2 binary64)) |
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#s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) |
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#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (*.f64 x eps) x))) |
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#s(approx (exp (neg (+ (* x eps) x))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
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#s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) (pow.f64 (*.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 eps (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) x) #s(literal 2 binary64))) |
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#s(approx (exp (neg (* (- 1 eps) x))) (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) |
#s(approx (exp (neg (+ (* x eps) x))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) |
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (neg.f64 eps)))) |
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 x) (-.f64 (neg.f64 eps) #s(literal 1 binary64)))) |
#s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x))))) |
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#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) eps)) |
#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) eps) |
#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))) eps)) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) (neg.f64 eps)) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (- 1 (* eps eps)) (neg.f64 (*.f64 eps eps))) |
#s(approx (- 1 (* eps eps)) (*.f64 (-.f64 (pow.f64 eps #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 eps eps))) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) (neg.f64 eps)) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (+ (* -1 eps) -1) (neg.f64 eps)) |
#s(approx (+ (* -1 eps) -1) (neg.f64 (fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) eps) #s(literal -1/2 binary64) (*.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (neg.f64 (pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) (neg.f64 eps))))) #s(literal 1/2 binary64)))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) x))) |
#s(approx (neg (+ (* x eps) x)) (*.f64 (neg.f64 eps) (-.f64 (/.f64 x eps) (neg.f64 x)))) |
#s(approx (+ (* x eps) x) (*.f64 (neg.f64 eps) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 x eps) x)))) |
#s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (*.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))) |
#s(approx (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) |
#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) (*.f64 (neg.f64 eps) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (neg (/ (- 1 (* eps eps)) (+ eps 1))) (*.f64 (neg.f64 eps) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
#s(approx (/ (- 1 (* eps eps)) (+ eps 1)) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
Compiled 36 102 to 2 683 computations (92.6% saved)
19 alts after pruning (15 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 475 | 9 | 484 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 481 | 19 | 500 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) | |
| ✓ | 86.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))) |
| 63.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) | |
| 64.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) | |
| 65.0% | #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 (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))) | |
| 65.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))) | |
| 54.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 53.7% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| ✓ | 51.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| 51.2% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 51.1% | #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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 43.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| 43.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 #s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) | |
| 52.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) | |
| 43.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| 53.1% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) | |
| ✓ | 43.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
| 72.5% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x)))) | |
| ✓ | 44.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 3 315 to 999 computations (69.9% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 #s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
4 calls:
| 13.0ms | x |
| 10.0ms | eps |
| 8.0ms | (/.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)) |
| 7.0ms | (-.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% | 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))))) |
| 99.4% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 99.4% | 1 | x |
| 99.4% | 1 | eps |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 #s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))) |
4 calls:
| 11.0ms | eps |
| 9.0ms | x |
| 7.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 7.0ms | (-.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)) |
| 99.4% | 2 | eps |
| 88.8% | 2 | x |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 #s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 #s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) #s(approx (exp (neg (* (+ 1 eps) x))) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) (fma.f64 (-.f64 eps #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.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 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x)))) |
4 calls:
| 10.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 9.0ms | eps |
| 9.0ms | x |
| 7.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 3 | x |
| 78.8% | 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))))) |
| 78.8% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 84.7% | 4 | eps |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 #s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x)))) |
1 calls:
| 33.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 4 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 #s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
2 calls:
| 6.0ms | x |
| 5.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.5% | 2 | eps |
| 84.6% | 6 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 #s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x)) #s(literal 4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) |
4 calls:
| 7.0ms | x |
| 5.0ms | eps |
| 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 |
|---|---|---|
| 80.8% | 6 | x |
| 60.1% | 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))))) |
| 60.1% | 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)) |
| 61.2% | 2 | eps |
Compiled 58 to 40 computations (31% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 #s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 4 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 #s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.3% | 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 (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (/.f64 #s(approx (- (* (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x) (* (+ (* -1 (- 1 eps)) (+ (* -1 eps) -1)) x)) 4) #s(literal -4 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal -1 binary64) eps #s(literal -1 binary64))) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
4 calls:
| 5.0ms | eps |
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 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))))) |
| 51.2% | 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)) |
| 51.2% | 1 | eps |
| 51.2% | 1 | x |
Compiled 58 to 40 computations (31% saved)
Total -0.9b remaining (-2.6%)
Threshold costs -0.9b (-2.6%)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (- 1 eps))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 #s(approx (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) #s(literal -2 binary64)) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
4 calls:
| 2.0ms | x |
| 2.0ms | 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 |
|---|---|---|
| 44.0% | 1 | eps |
| 44.0% | 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))))) |
| 44.0% | 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)) |
| 44.0% | 1 | x |
Compiled 58 to 40 computations (31% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.005145134961732667 | 0.108049620557687 |
| 13.0ms | 112× | 0 | valid |
| 1.0ms | 8× | 0 | exit |
Compiled 788 to 479 computations (39.2% saved)
ival-mult: 3.0ms (29.5% of total)ival-div: 2.0ms (19.7% of total)ival-exp: 2.0ms (19.7% of total)ival-sub: 2.0ms (19.7% of total)ival-add: 1.0ms (9.8% of total)ival-neg: 1.0ms (9.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 1.0124803624412499e+222 | 4.8225748528939675e+228 |
| 8.0ms | -2.7613343185726262e-247 | -2.5608068182683614e-247 |
| 18.0ms | 165× | 0 | valid |
| 4.0ms | 11× | 1 | valid |
Compiled 1 202 to 752 computations (37.4% saved)
ival-mult: 4.0ms (23.5% of total)ival-sub: 3.0ms (17.6% of total)ival-div: 3.0ms (17.6% of total)ival-exp: 3.0ms (17.6% of total)ival-add: 2.0ms (11.7% of total)ival-neg: 2.0ms (11.7% of total)adjust: 1.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0124803624412499e+222 | 4.8225748528939675e+228 |
| 4.0ms | -2.7613343185726262e-247 | -2.5608068182683614e-247 |
| 18.0ms | -3113.628544764905 | -2185.535042222887 |
| 14.0ms | 22× | 1 | valid |
| 5.0ms | 42× | 0 | valid |
Compiled 1 585 to 1 002 computations (36.8% saved)
ival-exp: 9.0ms (54.6% of total)adjust: 2.0ms (12.1% of total)ival-mult: 2.0ms (12.1% of total)ival-sub: 1.0ms (6.1% of total)ival-div: 1.0ms (6.1% of total)ival-add: 1.0ms (6.1% of total)ival-neg: 1.0ms (6.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 45.0ms | 5.248702934497533e+169 | 6.66663388537497e+178 |
| 38.0ms | 144× | 0 | valid |
Compiled 1 121 to 717 computations (36% saved)
ival-div: 24.0ms (69.6% of total)ival-mult: 3.0ms (8.7% of total)ival-exp: 2.0ms (5.8% of total)ival-sub: 2.0ms (5.8% of total)ival-add: 1.0ms (2.9% of total)ival-neg: 1.0ms (2.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | 1.0124803624412499e+222 | 4.8225748528939675e+228 |
| 15.0ms | 9.11632999972746e+117 | 9.929936388578425e+118 |
| 15.0ms | 101005.85673952666 | 360464.83376962633 |
| 1.0ms | -2.7613343185726262e-247 | -2.5608068182683614e-247 |
| 57.0ms | -5.85068790469222e+161 | -7.428894404358087e+131 |
| 68.0ms | 480× | 0 | valid |
| 14.0ms | 119× | 0 | exit |
Compiled 4 091 to 2 670 computations (34.7% saved)
ival-mult: 13.0ms (24.1% of total)ival-div: 12.0ms (22.2% of total)ival-sub: 9.0ms (16.7% of total)ival-exp: 8.0ms (14.8% of total)ival-add: 6.0ms (11.1% of total)ival-neg: 5.0ms (9.3% of total)exact: 1.0ms (1.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 33.0ms | 4.725944367050931e-241 | 1.1549997008181045e-238 |
| 0.0ms | -2.7613343185726262e-247 | -2.5608068182683614e-247 |
| 3.0ms | -5.85068790469222e+161 | -7.428894404358087e+131 |
| 19.0ms | 41× | 1 | valid |
| 8.0ms | 71× | 0 | valid |
Compiled 2 604 to 1 692 computations (35% saved)
ival-exp: 10.0ms (42.5% of total)adjust: 3.0ms (12.7% of total)ival-mult: 3.0ms (12.7% of total)ival-sub: 2.0ms (8.5% of total)ival-div: 2.0ms (8.5% of total)ival-neg: 1.0ms (4.2% of total)ival-add: 1.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -2.7613343185726262e-247 | -2.5608068182683614e-247 |
| 3.0ms | -5.85068790469222e+161 | -7.428894404358087e+131 |
Compiled 1 962 to 1 255 computations (36% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 62.0ms | -2185.535042222887 | -0.00019180691597404302 |
| 35.0ms | 68× | 1 | valid |
| 9.0ms | 76× | 0 | valid |
Compiled 1 319 to 843 computations (36.1% saved)
ival-exp: 11.0ms (28.4% of total)ival-neg: 8.0ms (20.6% of total)adjust: 5.0ms (12.9% of total)ival-mult: 5.0ms (12.9% of total)ival-sub: 3.0ms (7.7% of total)ival-div: 3.0ms (7.7% of total)ival-add: 2.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | -2185.535042222887 | -0.00019180691597404302 |
| 4.0ms | 11× | 1 | valid |
| 2.0ms | 21× | 0 | valid |
Compiled 1 139 to 735 computations (35.5% saved)
ival-sub: 1.0ms (19% of total)ival-div: 1.0ms (19% of total)adjust: 1.0ms (19% of total)ival-exp: 1.0ms (19% of total)ival-mult: 1.0ms (19% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | -2185.535042222887 | -0.00019180691597404302 |
Compiled 1 157 to 735 computations (36.5% saved)
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 2007 |
| 1 | 364 | 1980 |
| 2 | 774 | 1867 |
| 3 | 2842 | 1848 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
(if (<=.f64 eps #s(literal 7638104968020361/72057594037927936 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal -4093545022465973/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 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 (* (- 1 eps) x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 4499999999999999828615395700686563125015701153452874157792254549516081999881169952703332573135919737701788643352118278976532664311338057335453229344345761695801324044713727201205764971765006530825366789563687353347269426715557888 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x)))))) |
(if (<=.f64 x #s(literal -2200 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x)))) (if (<=.f64 x #s(literal -8501978123583175/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 4499999999999999828615395700686563125015701153452874157792254549516081999881169952703332573135919737701788643352118278976532664311338057335453229344345761695801324044713727201205764971765006530825366789563687353347269426715557888 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x))))))) |
(if (<=.f64 eps #s(literal 81999999999999995549538382308998300436387763817089026305081430297980255664010905953307751607236524680573407546551126701604461111579394387404127365340444434507336611110246678528 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal -6799999999999999477189142852946426319262359835883719242053585937896128210980306806693612645355425237203206624377671434184094152468481062739302060455362560 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal -4093545022465973/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 135000 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 9199999999999999513218419653587521603986811441798811965289093242718489096093817823971401817798170630249302801344626688 binary64)) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 709999999999999980434555563975401866126061804437769659605983059824581122534919342565312945256963304707814985838929360815532061665846605107318013794313537001938070117792338744071055223737679520515933367168991510628107030626304 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(approx (exp (neg (* (- 1 eps) x))) #s(literal 1 binary64))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) #s(approx (- (pow eps -1) 1) (/.f64 (fma.f64 #s(literal -1 binary64) eps #s(literal 1 binary64)) eps)))) #s(literal 2 binary64))))))) |
(if (<=.f64 x #s(literal -6799999999999999477189142852946426319262359835883719242053585937896128210980306806693612645355425237203206624377671434184094152468481062739302060455362560 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal -8501978123583175/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 696498143297311/7331559403129590068331208687020758653624765228075687047537011123791632385370343464792392772051104864109916034360063928339045596353810784435313926666640532382851295822842678298180301122938618566718730242107326783353838221723324821405531849499257419595776 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(approx (+ eps 1) #s(literal 1 binary64))))) x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) |
(if (<=.f64 x #s(literal -6799999999999999477189142852946426319262359835883719242053585937896128210980306806693612645355425237203206624377671434184094152468481062739302060455362560 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal -8501978123583175/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 eps #s(literal 1 binary64))) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal -270 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (* (+ (* -1 (+ eps 1)) (neg (/ (- 1 (* eps eps)) (+ eps 1)))) x) 2) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -230 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 eps #s(literal 1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal -230 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))) |
(if (<=.f64 eps #s(literal 7638104968020361/72057594037927936 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64)))) |
(if (<=.f64 eps #s(literal 7638104968020361/72057594037927936 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 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 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))) #s(literal 1/2 binary64)))) |
(if (<=.f64 x #s(literal -4093545022465973/15744403932561434696684473303452629045213679255131528440951130063136634306810047014785327192773139116009306758441243430342744218096217082060889571263281690386187633395165356521866664817226721079737670210248565328244806179188238434160900023542852296724603729870848 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 (* (- 1 eps) x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) #s(literal 1/2 binary64))) (if (<=.f64 x #s(literal 4499999999999999828615395700686563125015701153452874157792254549516081999881169952703332573135919737701788643352118278976532664311338057335453229344345761695801324044713727201205764971765006530825366789563687353347269426715557888 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (exp.f64 #s(approx (neg (* (- 1 eps) x)) (*.f64 x eps))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (exp (neg (* (- 1 eps) x))) (neg (exp (neg (+ (* x eps) x))))) 1/2) (exp.f64 (neg.f64 x)))))) |
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(if (<=.f64 x #s(literal -230 binary64)) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (-.f64 eps #s(literal -1 binary64)) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) 1/2) (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))))) |
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) #s(approx (+ eps 1) eps) #s(approx (neg (- 1 eps)) #s(literal -1 binary64))) x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
| 1× | fuel |
Compiled 2 008 to 199 computations (90.1% saved)
(abs eps)
Compiled 4 254 to 556 computations (86.9% saved)
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