
Time bar (total: 4.9s)
| 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)
| 841.0ms | 2 411× | 1 | valid |
| 660.0ms | 5 845× | 0 | valid |
| 135.0ms | 960× | 0 | exit |
| 3.0ms | 23× | 1 | exit |
ival-exp: 389.0ms (30% of total)ival-mult!: 262.0ms (20.2% of total)ival-div!: 178.0ms (13.7% of total)adjust: 126.0ms (9.7% of total)ival-neg: 116.0ms (8.9% of total)ival-sub!: 114.0ms (8.8% of total)ival-add!: 111.0ms (8.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 62 | 5 | (1.5765075745505607e-158 -1.7607676039925144e-15) | 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))))) |
| 1 | 0 | - | 0 | - | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
| 1 | 0 | - | 0 | - | (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 | - | (+.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 | - | 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 | 66 | 0 |
exp.f64 | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) | sensitivity | 1 | 0 |
exp.f64 | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) | sensitivity | 1 | 0 |
-.f64 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) | overflow | 52 | |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) eps) x) | overflow | 42 | |
| ↳ | (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) | overflow | 42 | |
| ↳ | (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) | overflow | 52 | |
| ↳ | (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) | overflow | 42 | |
| ↳ | (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) | overflow | 62 | |
| ↳ | (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) | overflow | 62 | |
| ↳ | (*.f64 (+.f64 #s(literal 1 binary64) eps) x) | overflow | 42 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 63 | 0 |
| - | 5 | 188 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 63 | 0 | 0 |
| - | 5 | 0 | 188 |
| number | freq |
|---|---|
| 0 | 188 |
| 1 | 67 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 63.0ms | 384× | 0 | valid |
| 52.0ms | 128× | 1 | valid |
Compiled 315 to 61 computations (80.6% saved)
ival-sub!: 26.0ms (29% of total)adjust: 20.0ms (22.3% of total)ival-exp: 17.0ms (18.9% of total)ival-mult!: 11.0ms (12.3% of total)ival-div!: 7.0ms (7.8% of total)ival-neg: 6.0ms (6.7% of total)ival-add!: 4.0ms (4.5% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 182 |
| 1 | 211 | 172 |
| 2 | 666 | 163 |
| 3 | 3285 | 162 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.5% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.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)) |
(abs eps)
Compiled 58 to 38 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)))))))) |
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#s(approx (+ 1 (/ 1 eps)) #s(hole binary64 (/ 1 eps))) |
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#s(approx (/ 1 eps) #s(hole binary64 (/ 1 eps))) |
#s(approx eps #s(hole binary64 eps)) |
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#s(approx (* (+ 1 eps) x) #s(hole binary64 x)) |
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#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
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#s(approx (exp (neg (* (- 1 eps) x))) #s(hole binary64 (exp (neg (* x (+ 1 (* -1 eps))))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | 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) |
| 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) |
| 6.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
| 3.0ms | x | @ | -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 |
|---|
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(+.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)) |
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#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 10 179 to 1 445 computations (85.8% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 243 | 4 | 247 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 244 | 4 | 248 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 4.9% | (/.f64 (/.f64 (-.f64 (pow.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)) (pow.f64 (*.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))) (fma.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)) |
| ▶ | 56.4% | (/.f64 #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(literal 2 binary64)) |
| ▶ | 99.1% | (/.f64 #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(literal 2 binary64)) |
| ▶ | 41.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 181 to 102 computations (43.6% 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(literal 1 binary64) |
(/.f64 #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(literal 2 binary64)) |
#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)))))) |
(-.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) |
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 2 binary64) |
(/.f64 #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(literal 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)))))) |
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x))) |
(+.f64 x #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))) |
#s(literal -1 binary64) |
(/.f64 (/.f64 (-.f64 (pow.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)) (pow.f64 (*.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))) (fma.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 (pow.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)) (pow.f64 (*.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))) (fma.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))))) |
(-.f64 (pow.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)) (pow.f64 (*.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))) |
(pow.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 (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 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) |
(pow.f64 eps #s(literal -1 binary64)) |
(pow.f64 (*.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 (exp.f64 (neg.f64 (fma.f64 x 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)) |
(fma.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)))) |
| 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 (- (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 (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 2)) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* -1 (pow x 2))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1))))) |
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 1)) |
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* -1/2 (pow x 2))))) |
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2))))) |
#s(approx (* (+ x 1) (exp (neg x))) #s(hole binary64 (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))))) |
#s(approx (+ x 1) #s(hole binary64 1)) |
#s(approx (+ x 1) #s(hole binary64 (+ 1 x))) |
#s(approx (exp (neg x)) #s(hole binary64 1)) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1))))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 -1)) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* 1/2 (pow x 2)) 1))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* -1/3 x))) 1))) |
#s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(hole binary64 (- (* (pow x 2) (+ 1/2 (* x (- (* 1/8 x) 1/3)))) 1))) |
#s(approx (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) 2) #s(hole binary64 (* 1/4 (* eps (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2)))))) |
#s(approx (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) 2) #s(hole binary64 (+ (* 1/4 (* eps (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2)))) (* 1/2 (* x (- (* 1/2 (* eps (- (* -2 (* (pow (+ 1 (/ 1 eps)) 2) (- 1 eps))) (* -2 (* (+ 1 eps) (pow (- (/ 1 eps) 1) 2)))))) (* 1/4 (* (pow eps 2) (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2))))))))))) |
#s(approx (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) 2) #s(hole binary64 (+ (* 1/4 (* eps (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2)))) (* x (+ (* 1/2 (* x (- (* 1/2 (* eps (- (* 2 (* (pow (+ 1 (/ 1 eps)) 2) (pow (- 1 eps) 2))) (* 2 (* (pow (+ 1 eps) 2) (pow (- (/ 1 eps) 1) 2)))))) (+ (* 1/4 (* (pow eps 2) (* (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2))))) (* 1/2 (* eps (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (* 1/2 (* eps (- (* -2 (* (pow (+ 1 (/ 1 eps)) 2) (- 1 eps))) (* -2 (* (+ 1 eps) (pow (- (/ 1 eps) 1) 2)))))) (* 1/4 (* (pow eps 2) (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2))))))))))))) (* 1/2 (- (* 1/2 (* eps (- (* -2 (* (pow (+ 1 (/ 1 eps)) 2) (- 1 eps))) (* -2 (* (+ 1 eps) (pow (- (/ 1 eps) 1) 2)))))) (* 1/4 (* (pow eps 2) (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2)))))))))))) |
#s(approx (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) 2) #s(hole binary64 (+ (* 1/4 (* eps (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2)))) (* x (+ (* 1/2 (- (* 1/2 (* eps (- (* -2 (* (pow (+ 1 (/ 1 eps)) 2) (- 1 eps))) (* -2 (* (+ 1 eps) (pow (- (/ 1 eps) 1) 2)))))) (* 1/4 (* (pow eps 2) (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2))))))) (* x (+ (* 1/2 (* x (- (* 1/2 (* eps (- (* (pow (+ 1 (/ 1 eps)) 2) (+ (* -1 (pow (- 1 eps) 3)) (* -1/3 (pow (- 1 eps) 3)))) (* (+ (* -1 (pow (+ 1 eps) 3)) (* -1/3 (pow (+ 1 eps) 3))) (pow (- (/ 1 eps) 1) 2))))) (+ (* 1/4 (* (pow eps 2) (* (+ (* -1/6 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2))))) (+ (* 1/2 (* eps (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (* 1/2 (* eps (- (* 2 (* (pow (+ 1 (/ 1 eps)) 2) (pow (- 1 eps) 2))) (* 2 (* (pow (+ 1 eps) 2) (pow (- (/ 1 eps) 1) 2)))))) (+ (* 1/4 (* (pow eps 2) (* (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2))))) (* 1/2 (* eps (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (* 1/2 (* eps (- (* -2 (* (pow (+ 1 (/ 1 eps)) 2) (- 1 eps))) (* -2 (* (+ 1 eps) (pow (- (/ 1 eps) 1) 2)))))) (* 1/4 (* (pow eps 2) (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2)))))))))))))) (* 1/2 (* eps (* (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (- (* 1/2 (* eps (- (* -2 (* (pow (+ 1 (/ 1 eps)) 2) (- 1 eps))) (* -2 (* (+ 1 eps) (pow (- (/ 1 eps) 1) 2)))))) (* 1/4 (* (pow eps 2) (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2)))))))))))))) (* 1/2 (- (* 1/2 (* eps (- (* 2 (* (pow (+ 1 (/ 1 eps)) 2) (pow (- 1 eps) 2))) (* 2 (* (pow (+ 1 eps) 2) (pow (- (/ 1 eps) 1) 2)))))) (+ (* 1/4 (* (pow eps 2) (* (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2))))) (* 1/2 (* eps (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (* 1/2 (* eps (- (* -2 (* (pow (+ 1 (/ 1 eps)) 2) (- 1 eps))) (* -2 (* (+ 1 eps) (pow (- (/ 1 eps) 1) 2)))))) (* 1/4 (* (pow eps 2) (* (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* -1 (* (+ 1 (/ 1 eps)) (- 1 eps)))) (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2))))))))))))))))))) |
#s(approx (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) #s(hole binary64 (* 1/2 (* eps (- (pow (+ 1 (/ 1 eps)) 2) (pow (- (/ 1 eps) 1) 2)))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) 2) (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+ (pow eps -1) 1) (pow eps -1) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) (- (pow eps -1) 1) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) |
| 13.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) 2) (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+ (pow eps -1) 1) (pow eps -1) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) (- (pow eps -1) 1) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) |
| 12.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) 2) (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+ (pow eps -1) 1) (pow eps -1) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) (- (pow eps -1) 1) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) |
| 12.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) 2) (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+ (pow eps -1) 1) (pow eps -1) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) (- (pow eps -1) 1) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) |
| 11.0ms | eps | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (neg x) x (- 1 eps) eps (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (* (+ x 1) (exp (neg x))) (+ x 1) (exp (neg x)) (* -1 (* (+ x 1) (exp (neg x)))) -1 (/ (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) 2) (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+ (pow eps -1) 1) (pow eps -1) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) (- (pow eps -1) 1) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1455 | 23860 |
| 0 | 1510 | 23530 |
| 0 | 8081 | 22909 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
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#s(literal 1 binary64) |
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x |
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eps |
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#s(approx (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) #s(hole binary64 (- (+ (* -1 (/ (- (+ (* -2 (/ (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))) (* -1 (/ (- (+ (/ (* (+ (* -1 (exp (neg (+ x (* eps x))))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (- (/ (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x))))))) (+ (/ (* (+ (* -1 (exp (neg (+ x (* eps x))))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (- (* -2 (/ (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))) (+ (* 2 (/ (pow (exp (neg (+ x (* eps x)))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))) (/ (* (+ (* -1 (exp (neg (+ x (* eps x))))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (- (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (pow (exp (neg (+ x (* eps x)))) 2))) (pow (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))) 2))))) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x))))))) (/ (pow (exp (neg (+ x (* eps x)))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))))) (* eps (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))) (/ (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))) (+ (/ (* (+ (* -1 (exp (neg (+ x (* eps x))))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (- (* -2 (/ (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))) (+ (* 2 (/ (pow (exp (neg (+ x (* eps x)))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))) (/ (* (+ (* -1 (exp (neg (+ x (* eps x))))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (- (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (pow (exp (neg (+ x (* eps x)))) 2))) (pow (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))) 2))))) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x))))))) (/ (pow (exp (neg (+ x (* eps x)))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x))))))))) eps))) (+ (* 2 (/ (pow (exp (neg (+ x (* eps x)))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))) (/ (* (+ (* -1 (exp (neg (+ x (* eps x))))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (- (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (pow (exp (neg (+ x (* eps x)))) 2))) (pow (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))) 2)))) eps)) (/ (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))) (/ (pow (exp (neg (+ x (* eps x)))) 2) (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))))) |
#s(approx (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) #s(hole binary64 (- (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (pow (exp (neg (+ x (* eps x)))) 2)))) |
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#s(approx (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) #s(hole binary64 (- (+ (* -1 (/ (- (+ (* -2 (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2)) (* -1 (/ (- (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) (pow (exp (neg (+ x (* eps x)))) 2)) eps))) (* 2 (pow (exp (neg (+ x (* eps x)))) 2))) eps)) (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2)) (pow (exp (neg (+ x (* eps x)))) 2)))) |
#s(approx (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) #s(hole binary64 (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2))) |
#s(approx (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) #s(hole binary64 (+ (* 2 (/ (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2) eps)) (pow (exp (* -1 (* x (+ 1 (* -1 eps))))) 2)))) |
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#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) #s(hole binary64 (exp (* -1 (* x (+ 1 (* -1 eps))))))) |
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) #s(hole binary64 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))) |
#s(approx (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (pow (exp (neg (+ x (* eps x)))) 2) eps)) (* 2 (pow (exp (neg (+ x (* eps x)))) 2))) eps)) (pow (exp (neg (+ x (* eps x)))) 2)))) |
#s(approx (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))) #s(hole binary64 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (+ x (* eps x)))))))) |
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| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
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(neg.f64 x) |
x |
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(-.f64 #s(literal 1 binary64) eps) |
eps |
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(fma.f64 x eps x) |
(+.f64 (*.f64 x eps) x) |
#s(literal 2 binary64) |
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#s(literal -1 binary64) |
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#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
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#s(approx (* (+ x 1) (exp (neg x))) (*.f64 x (exp.f64 (neg.f64 x)))) |
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#s(approx (+ x 1) x) |
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#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
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#s(approx (+ (* x eps) x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) |
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#s(approx (exp (* (neg x) (- 1 eps))) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)) |
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#s(approx (* (neg x) (- 1 eps)) (*.f64 #s(literal -1 binary64) x)) |
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#s(approx eps eps) |
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#s(approx (exp (neg (+ (* x eps) x))) (exp.f64 (neg.f64 x))) |
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#s(approx (neg (+ (* x eps) x)) (*.f64 #s(literal -1 binary64) x)) |
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#s(approx (+ (* x eps) x) x) |
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#s(approx (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))) eps) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) eps) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64))))) |
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#s(approx (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))) |
#s(approx (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (fma.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) eps) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))))) |
#s(approx (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) eps))) eps) (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))))) |
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) |
#s(approx (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) eps))) |
#s(approx (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)) eps) (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)))) eps) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64)))) |
#s(approx (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))) (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x))))))) |
#s(approx (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1))) (+.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) eps))))) |
Compiled 47 690 to 3 213 computations (93.3% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 519 | 7 | 526 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 0 | 0 |
| Total | 522 | 8 | 530 |
| Status | Accuracy | Program |
|---|---|---|
| 1.7% | (/.f64 #s(approx (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))))))) #s(literal 2 binary64)) | |
| 41.8% | (/.f64 #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))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| ▶ | 65.7% | (/.f64 #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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
| ▶ | 84.2% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
| ▶ | 59.2% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
| ▶ | 40.9% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))))) #s(literal 2 binary64)) |
| ▶ | 67.6% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)))) #s(literal 2 binary64)) |
| ✓ | 41.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 839 to 499 computations (40.5% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
(exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 eps x)) |
(*.f64 eps x) |
eps |
x |
(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 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (*.f64 x x)) |
#s(literal -1 binary64) |
(*.f64 x x) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #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))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x))) |
(+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) x) |
(exp.f64 #s(literal -1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) |
(-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.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)))) |
(-.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))) |
(exp.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(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 (- (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 (* eps x) #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))))) #s(hole binary64 2)) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* -1 (pow x 2))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* 2/3 x) 1))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1))))) |
#s(approx (+ 2 (* -1 (* x x))) #s(hole binary64 2)) |
#s(approx (+ 2 (* -1 (* x x))) #s(hole binary64 (+ 2 (* -1 (pow x 2))))) |
#s(approx (* -1 (* x x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 2)) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (+ 2 (* x (- x 2))))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))))) |
#s(approx (exp (neg x)) #s(hole binary64 1)) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1))))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (pow (exp -1) x) #s(hole binary64 1)) |
#s(approx (pow (exp -1) x) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (pow (exp -1) x) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1))))) |
#s(approx (pow (exp -1) x) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))))) |
#s(approx (- (* (+ 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 (- (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 (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* x (- (exp (neg x)) (* -1 (exp (neg x))))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* x (- (+ (exp (neg x)) (/ (exp (neg x)) x)) (+ (* -1 (exp (neg x))) (* -1 (/ (exp (neg x)) x))))))) |
#s(approx (+ 2 (* -1 (* x x))) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (+ 2 (* -1 (* x x))) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1)))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | 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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* eps x) eps x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+ 2 (* -1 (* x x))) (* -1 (* x x)) -1 (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (exp (neg x)) (pow (exp -1) x)) (exp (neg x)) (neg x) (pow (exp -1) x) (exp -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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (- 1 eps) (neg (exp (neg (+ (* x eps) x))))) |
| 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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* eps x) eps x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+ 2 (* -1 (* x x))) (* -1 (* x x)) -1 (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (exp (neg x)) (pow (exp -1) x)) (exp (neg x)) (neg x) (pow (exp -1) x) (exp -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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (- 1 eps) (neg (exp (neg (+ (* x eps) x))))) |
| 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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* eps x) eps x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+ 2 (* -1 (* x x))) (* -1 (* x x)) -1 (* x x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (exp (neg x)) (pow (exp -1) x)) (exp (neg x)) (neg x) (pow (exp -1) x) (exp -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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (- 1 eps) (neg (exp (neg (+ (* x eps) x))))) |
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 632 | 5003 |
| 0 | 668 | 4654 |
| 1 | 4263 | 4654 |
| 0 | 8269 | 4536 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
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#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(hole binary64 (- (* (exp (- (* 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))))) #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 (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* x (- (exp (neg x)) (* -1 (exp (neg x))))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* x (- (+ (exp (neg x)) (/ (exp (neg x)) x)) (+ (* -1 (exp (neg x))) (* -1 (/ (exp (neg x)) x))))))) |
#s(approx (+ 2 (* -1 (* x x))) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (+ 2 (* -1 (* x x))) #s(hole binary64 (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1)))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
#s(approx (pow (exp -1) x) #s(hole binary64 (exp (* -1 x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))) |
#s(approx (- (* (+ 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 (- (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 (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* -1 (* x (- (* -1 (exp (* -1 x))) (exp (* -1 x))))))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(hole binary64 (* -1 (* x (- (+ (* -1 (exp (* -1 x))) (* -1 (/ (- (exp (* -1 x)) (* -1 (exp (* -1 x)))) x))) (exp (* -1 x))))))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (* 2 (exp (* -1 x))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -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 (- (* (+ 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 (- (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 (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 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 (- 1 eps) #s(hole binary64 1)) |
#s(approx (- 1 eps) #s(hole binary64 (+ 1 (* -1 eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps))))) |
#s(approx (- (* (+ 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 (* (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 (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 eps) #s(hole binary64 (* -1 eps))) |
#s(approx (- 1 eps) #s(hole binary64 (* eps (- (/ 1 eps) 1)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))))) |
#s(approx (- (* (+ 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 (- (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 (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 eps) #s(hole binary64 (* -1 (* eps (- 1 (/ 1 eps)))))) |
| Outputs |
|---|
(/.f64 (neg.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))))) #s(literal -2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.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))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (pow.f64 (exp.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 2 binary64)) (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (+.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (pow.f64 (exp.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)) (neg.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) #s(literal 2 binary64)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)) (*.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))))))) |
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (pow.f64 (exp.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) |
eps |
x |
(*.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 (neg.f64 (+.f64 eps #s(literal 1 binary64))) x) |
(*.f64 (fma.f64 x eps x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (fma.f64 x eps x)) |
(*.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 (neg.f64 (+.f64 eps #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 x x) (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 x 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)) |
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))))) x (*.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (fma.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))) x (-.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (+.f64 eps #s(literal 1 binary64))) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) x #s(literal 2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(literal 2 binary64)) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (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(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) x)) x #s(literal 2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))) x)) x)) x #s(literal 2 binary64))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
#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 (* eps x) (*.f64 x eps)) |
#s(approx x x) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (fma.f64 x eps x) #s(literal 1 binary64))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)))) x) #s(literal 1 binary64))) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) x (*.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)))) x) #s(literal 1 binary64))) |
#s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64)) |
#s(approx (exp (neg (+ (* x eps) x))) (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) |
#s(approx (exp (neg (+ (* x 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 (+ (* x eps) x))) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)) x) #s(literal -1/6 binary64))) x (neg.f64 (+.f64 eps #s(literal 1 binary64)))) x #s(literal 1 binary64))) |
#s(approx (neg (+ (* x eps) x)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) |
#s(approx (+ (* x eps) x) (fma.f64 x eps x)) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 2/3 binary64)) x) #s(literal 1 binary64)) (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ 2 (* -1 (* x x))) #s(literal 2 binary64)) |
#s(approx (+ 2 (* -1 (* x x))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) |
#s(approx (* -1 (* x x)) (*.f64 (neg.f64 x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(literal 2 binary64)) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))) |
#s(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 (neg x) (neg.f64 x)) |
#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 (/ 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 (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 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 (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (pow.f64 (exp.f64 x) (neg.f64 (-.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 (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) x)) |
#s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (*.f64 (-.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) x) (exp.f64 (neg.f64 x))))) x)) |
#s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)) |
#s(approx (+ 2 (* -1 (* x x))) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (exp (neg 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 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (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))))) (fma.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (pow.f64 (exp.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))))) (*.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 (+ (exp (neg x)) (pow (exp -1) x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (exp (neg 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 #s(literal 1/2 binary64) (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) (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (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 (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))))) (*.f64 eps eps) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) #s(literal 1/2 binary64))) (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (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))))) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x))))) (*.f64 eps eps))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 7 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 6 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/120 binary64) (pow.f64 x #s(literal 5 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 x #s(literal 4 binary64))) (exp.f64 (neg.f64 x)))))) (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))))) (*.f64 eps eps))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) eps)) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (* (neg x) (- 1 eps)) (neg.f64 x)) |
#s(approx (* (neg x) (- 1 eps)) (fma.f64 x eps (neg.f64 x))) |
#s(approx eps eps) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (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 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (+ (* x 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 #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 (+ (* 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 (- 1 eps) #s(literal 1 binary64)) |
#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 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.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))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.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 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (pow.f64 (exp.f64 x) (-.f64 #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 x) (neg.f64 (-.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 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) eps) (pow.f64 (exp.f64 x) (neg.f64 (-.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 (* (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 (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 (- 1 eps) (neg.f64 eps)) |
#s(approx (- 1 eps) (*.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (-.f64 (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 (- (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 x) (- 1 eps))) (pow.f64 (exp.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 (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 (- 1 eps) (*.f64 (neg.f64 eps) (-.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal -1 binary64))))) |
Compiled 19 961 to 1 966 computations (90.2% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 335 | 8 | 343 |
| Fresh | 0 | 2 | 2 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 340 | 11 | 351 |
| Status | Accuracy | Program |
|---|---|---|
| 1.7% | (/.f64 #s(approx (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))))))) #s(literal 2 binary64)) | |
| 41.8% | (/.f64 #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))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| ▶ | 84.6% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
| 65.9% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64))))) #s(literal 2 binary64)) | |
| ▶ | 59.6% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
| 40.9% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 1.6% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) | |
| ▶ | 67.6% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| ▶ | 57.4% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| ▶ | 41.1% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| ✓ | 41.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 1 221 to 723 computations (40.8% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) |
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) |
(exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) |
#s(approx (* (neg x) (- 1 eps)) (*.f64 eps x)) |
(*.f64 eps x) |
eps |
x |
(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)) |
(*.f64 x eps) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
#s(literal -2 binary64) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)) |
(-.f64 x #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) |
(-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))) |
#s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 1)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))))))) |
#s(approx (- (* (+ 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 (- (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 (* eps x) #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 eps) #s(hole binary64 (* eps x))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 2)) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (+ 2 (* x (- x 2))))) |
#s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))))) |
#s(approx (+ (* -2 x) 2) #s(hole binary64 2)) |
#s(approx (+ (* -2 x) 2) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (* (exp (neg x)) 2) #s(hole binary64 2)) |
#s(approx (* (exp (neg x)) 2) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (* (exp (neg x)) 2) #s(hole binary64 (+ 2 (* x (- x 2))))) |
#s(approx (* (exp (neg x)) 2) #s(hole binary64 (+ 2 (* x (- (* x (+ 1 (* -1/3 x))) 2))))) |
#s(approx (exp (neg x)) #s(hole binary64 1)) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* -1 x)))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* 1/2 x) 1))))) |
#s(approx (exp (neg x)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (+ (* (- x 2) x) 2) #s(hole binary64 2)) |
#s(approx (+ (* (- x 2) x) 2) #s(hole binary64 (+ 2 (* -2 x)))) |
#s(approx (+ (* (- x 2) x) 2) #s(hole binary64 (+ 2 (* x (- x 2))))) |
#s(approx (- x 2) #s(hole binary64 -2)) |
#s(approx (- x 2) #s(hole binary64 (- 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 (- (* 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 (- (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 (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (+ (exp (neg x)) (exp (* -1 x))))) |
#s(approx (+ (* -2 x) 2) #s(hole binary64 (* -2 x))) |
#s(approx (+ (* -2 x) 2) #s(hole binary64 (* x (- (* 2 (/ 1 x)) 2)))) |
#s(approx (* (exp (neg x)) 2) #s(hole binary64 (* 2 (exp (neg x))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (neg x)))) |
#s(approx (+ (* (- x 2) x) 2) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* (- x 2) x) 2) #s(hole binary64 (* (pow x 2) (- 1 (* 2 (/ 1 x)))))) |
#s(approx (+ (* (- x 2) x) 2) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x)))))) |
#s(approx (- x 2) #s(hole binary64 x)) |
#s(approx (- x 2) #s(hole binary64 (* x (- 1 (* 2 (/ 1 x)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))))) |
#s(approx (- (* (+ 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 (- (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 (+ (exp (neg x)) (pow (exp -1) x)) #s(hole binary64 (* 2 (exp (* -1 x))))) |
#s(approx (+ (* -2 x) 2) #s(hole binary64 (* -1 (* x (- 2 (* 2 (/ 1 x))))))) |
#s(approx (* (exp (neg x)) 2) #s(hole binary64 (* 2 (exp (* -1 x))))) |
#s(approx (exp (neg x)) #s(hole binary64 (exp (* -1 x)))) |
#s(approx (+ (* (- x 2) x) 2) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))))) |
#s(approx (- x 2) #s(hole binary64 (* -1 (* x (- (* 2 (/ 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)) (* 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)))))))))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* eps x) eps x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) (* x eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (exp (neg x)) (pow (exp -1) x)) (+ (* -2 x) 2) -2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (* (exp (neg x)) 2) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (exp (neg x)) (pow (exp -1) x)) (+ (* (- x 2) x) 2) (- x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 1) |
| 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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* eps x) eps x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) (* x eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (exp (neg x)) (pow (exp -1) x)) (+ (* -2 x) 2) -2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (* (exp (neg x)) 2) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (exp (neg x)) (pow (exp -1) x)) (+ (* (- x 2) x) 2) (- x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 1) |
| 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))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) (* (neg x) (- 1 eps)) (* eps x) eps x (neg (exp (neg (+ (* x eps) x)))) (exp (neg (+ (* x eps) x))) (neg (+ (* x eps) x)) (+ (* x eps) x) (* x eps) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (exp (neg x)) (pow (exp -1) x)) (+ (* -2 x) 2) -2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (* (exp (neg x)) 2) (exp (neg x)) (neg x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+ (exp (neg x)) (pow (exp -1) x)) (+ (* (- x 2) x) 2) (- x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (exp (* (neg x) (- 1 eps))) 1) |
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 4998 |
| 0 | 627 | 4629 |
| 1 | 3987 | 4629 |
| 0 | 8174 | 4507 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
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#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(hole binary64 (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (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 (- (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 (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 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 (/ (- (* (+ 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 (* (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 (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))))) 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 (- (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 (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))))))) |
| Outputs |
|---|
(/.f64 (neg.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))))) #s(literal -2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.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 x) (- 1 eps)) (*.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 x) (- 1 eps)) (*.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 x) (- 1 eps)) (*.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 x) (- 1 eps)) (*.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 x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))))) |
(-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 x eps))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x 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) |
eps |
x |
(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)) |
(*.f64 x eps) |
(*.f64 eps x) |
#s(literal 2 binary64) |
(/.f64 (neg.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (* (exp (neg x)) 2) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))))) #s(literal -2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (* (exp (neg x)) 2) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (* (exp (neg x)) 2) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (* (exp (neg x)) 2) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))) |
#s(approx (* (exp (neg x)) 2) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) |
#s(literal -2 binary64) |
(/.f64 (neg.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) #s(literal -2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (exp.f64 x))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (/.f64 #s(literal 0 binary64) (exp.f64 x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))))) |
(fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (neg.f64 x))) |
(fma.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) (exp.f64 (neg.f64 x))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))))) |
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(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 x #s(literal 2 binary64)))) |
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#s(approx (+ (* (- x 2) x) 2) (*.f64 x x)) |
#s(approx (+ (* (- x 2) x) 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
#s(approx (+ (* (- x 2) x) 2) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))) |
#s(approx (- x 2) x) |
#s(approx (- x 2) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) x)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (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))))) (fma.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (+.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (pow.f64 (exp.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 (* (exp (neg x)) 2) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (+ (* -2 x) 2) (*.f64 (neg.f64 x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))) |
#s(approx (* (exp (neg x)) 2) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (+ (* (- x 2) x) 2) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (- x 2) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 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))))) 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 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #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 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #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 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #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 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) (fma.f64 (*.f64 #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 (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))))) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps))) |
#s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (exp.f64 (neg.f64 x)))) eps)) eps (*.f64 (exp.f64 (neg.f64 x)) x))) eps))) |
#s(approx (exp (* (neg x) (- 1 eps))) (exp.f64 (neg.f64 x))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (*.f64 x eps) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x x) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (exp (* (neg x) (- 1 eps))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps (*.f64 (exp.f64 (neg.f64 x)) x)) eps (exp.f64 (neg.f64 x)))) |
#s(approx (* (neg x) (- 1 eps)) (neg.f64 x)) |
#s(approx (* (neg x) (- 1 eps)) (fma.f64 x eps (neg.f64 x))) |
#s(approx eps eps) |
#s(approx (neg (exp (neg (+ (* x eps) x)))) (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 #s(literal -1/2 binary64) (*.f64 x x)) (exp.f64 (neg.f64 x)))) eps) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) eps) (exp.f64 (neg.f64 x)))) |
#s(approx (exp (neg (+ (* x 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 #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 (+ (* 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 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.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))))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (pow.f64 (exp.f64 x) (neg.f64 (-.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 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) (pow.f64 (exp.f64 x) (-.f64 #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 x) (neg.f64 (-.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 (pow.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 1 binary64) eps))) eps) (pow.f64 (exp.f64 x) (neg.f64 (-.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 (* (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 (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 (/ (- (* (+ 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 (- (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 x) (- 1 eps))) (pow.f64 (exp.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 (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)))) |
Compiled 13 544 to 1 313 computations (90.3% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 204 | 5 | 209 |
| Fresh | 2 | 3 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 207 | 13 | 220 |
| Status | Accuracy | Program |
|---|---|---|
| 3.2% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/.f64 (-.f64 (pow.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #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 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))))) #s(literal 2 binary64)) | |
| 41.8% | (/.f64 #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))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| ✓ | 84.6% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
| 65.9% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) | |
| ✓ | 59.6% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
| 40.9% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| 1.6% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) | |
| 52.1% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (-.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) | |
| ✓ | 67.6% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| 57.8% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) | |
| ✓ | 41.1% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| 19.2% | (/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) | |
| ✓ | 41.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 2 102 to 657 computations (68.7% 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)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (-.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 #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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #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))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 #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(literal 2 binary64)) |
(/.f64 #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(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (/.f64 (-.f64 (pow.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) #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 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps)))))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (/ (- (pow (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) 2) (pow (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)) 2)) (+ (* (exp (* (neg x) (- 1 eps))) (+ (pow eps -1) 1)) (* (exp (neg (+ (* x eps) x))) (- (pow eps -1) 1)))) (/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))) (pow.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) #s(literal 2 binary64))) (-.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))))))) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.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)) (pow.f64 (*.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))) (fma.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)) |
| Outputs |
|---|
(/.f64 #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(literal 2 binary64)) |
4 calls:
| 7.0ms | eps |
| 7.0ms | x |
| 5.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 5.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 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))))) |
| 99.1% | 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)) |
| 99.1% | 1 | x |
| 99.1% | 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)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (-.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 #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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #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))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
4 calls:
| 5.0ms | eps |
| 5.0ms | x |
| 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))))) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 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))))) |
| 99.1% | 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)) |
| 84.6% | 1 | x |
| 99.1% | 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)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (-.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
(/.f64 #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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #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))) #s(approx (* -1 (* (+ x 1) (exp (neg x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
(/.f64 #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))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
4 calls:
| 14.0ms | eps |
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 4.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 2 | x |
| 82.1% | 2 | eps |
| 80.8% | 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))))) |
| 80.8% | 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)) |
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)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (-.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 (fma.f64 x eps x)))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 #s(approx (exp (* (neg x) (- 1 eps))) #s(literal 1 binary64)) (neg.f64 (exp.f64 (neg.f64 #s(approx (+ (* x eps) x) (*.f64 x eps))))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 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)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (-.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) (neg.f64 #s(approx (exp (neg (+ (* x eps) x))) #s(literal 1 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (+.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x)))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 #s(approx (* (neg x) (- 1 eps)) (*.f64 eps x))) #s(approx (neg (exp (neg (+ (* x eps) x)))) #s(literal -1 binary64)))) #s(literal 2 binary64)) |
2 calls:
| 4.0ms | eps |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 2 | eps |
| 77.7% | 2 | x |
Compiled 2 to 4 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 (-.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
4 calls:
| 11.0ms | x |
| 3.0ms | eps |
| 2.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.6% | 1 | x |
| 72.4% | 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))))) |
| 72.4% | 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)) |
| 72.7% | 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)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
1 calls:
| 3.0ms | eps |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 2 | eps |
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)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (* (+ x 1) (exp (neg x))) (* -1 (* (+ x 1) (exp (neg x))))) #s(approx (+ 2 (* -1 (* x x))) (*.f64 (neg.f64 x) x)))) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(approx (- x 2) x) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
4 calls:
| 2.0ms | eps |
| 2.0ms | x |
| 2.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 2.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 1 | x |
| 57.8% | 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))))) |
| 57.8% | 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)) |
| 57.8% | 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)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))))) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 #s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) #s(approx (- (exp (* (neg x) (- 1 eps))) (neg (exp (neg (+ (* x eps) x))))) #s(approx (+ (exp (neg x)) (pow (exp -1) x)) #s(approx (+ (* (- x 2) x) 2) (*.f64 x x))))) #s(literal 2 binary64)) |
4 calls:
| 5.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 2.0ms | eps |
| 1.0ms | x |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.4% | 2 | eps |
| 57.9% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 57.9% | 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)) |
| 57.8% | 3 | x |
Compiled 58 to 40 computations (31% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#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) #s(literal 1 binary64)) |
4 calls:
| 1.0ms | eps |
| 1.0ms | x |
| 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 |
|---|---|---|
| 41.8% | 1 | eps |
| 41.8% | 1 | x |
| 41.8% | 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))))) |
| 41.8% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
Compiled 58 to 40 computations (31% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 1.0 |
Compiled 32 to 24 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 28.0ms | -1.53354959390053e-231 | -2.4484788424860195e-235 |
| 15.0ms | 55× | 1 | valid |
| 7.0ms | 73× | 0 | valid |
Compiled 832 to 568 computations (31.7% saved)
ival-exp: 6.0ms (33% of total)ival-mult!: 4.0ms (22% of total)adjust: 2.0ms (11% of total)ival-neg: 2.0ms (11% of total)ival-div!: 2.0ms (11% of total)ival-add!: 1.0ms (5.5% of total)ival-sub!: 1.0ms (5.5% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.53354959390053e-231 | -2.4484788424860195e-235 |
Compiled 864 to 568 computations (34.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 6.369316877253e+48 | 4.149907267827321e+49 |
| 8.0ms | 96× | 0 | valid |
Compiled 656 to 432 computations (34.1% saved)
ival-mult!: 2.0ms (33.4% of total)ival-exp: 1.0ms (16.7% of total)ival-sub!: 1.0ms (16.7% of total)ival-neg: 1.0ms (16.7% of total)ival-div!: 1.0ms (16.7% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 30826944147.125603 | 40477086518.24095 |
| 4.0ms | 48× | 0 | valid |
Compiled 374 to 243 computations (35% saved)
ival-exp: 1.0ms (34.7% of total)ival-mult!: 1.0ms (34.7% of total)ival-sub!: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)ival-div!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 30826944147.125603 | 40477086518.24095 |
Compiled 380 to 249 computations (34.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.4467064660612907e+138 | +inf |
Compiled 32 to 24 computations (25% saved)
| 1× | fuel |
Compiled 966 to 127 computations (86.9% saved)
(abs eps)
Compiled 3 922 to 1 196 computations (69.5% saved)
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