
Time bar (total: 12.7s)
| 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)
| 994.0ms | 5 928× | 0 | valid |
| 822.0ms | 2 328× | 1 | valid |
| 166.0ms | 984× | 0 | exit |
| 2.0ms | 13× | 1 | exit |
ival-exp: 482.0ms (30.2% of total)ival-div!: 424.0ms (26.6% of total)ival-mult!: 245.0ms (15.4% of total)ival-neg: 134.0ms (8.4% of total)ival-sub!: 128.0ms (8% of total)adjust: 113.0ms (7.1% of total)ival-add!: 69.0ms (4.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 180 |
| 1 | 295 | 162 |
| 2 | 1211 | 162 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.8% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(abs eps)
Compiled 50 to 38 computations (24% saved)
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) eps) |
eps |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
(-.f64 #s(literal 1 binary64) eps) |
x |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(+.f64 #s(literal 1 binary64) eps) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(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 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.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 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.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 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.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))))) #s(literal 2 binary64)) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.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))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.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))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) |
#s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))))) |
#s(approx (exp (neg (* (- 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 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)))))) #s(literal 1 binary64))))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) |
#s(approx (* (- 1 eps) x) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
#s(approx x x) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))))) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* (+ 1 eps) x) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (-.f64 (/.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))))) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (-.f64 (*.f64 eps x) x))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (+.f64 x (*.f64 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 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.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))))) (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (exp (neg (* (- 1 eps) x))) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 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) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))))))) |
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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 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))) |
#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) eps))) |
#s(approx (neg (* (- 1 eps) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) x)))) |
#s(approx (* (- 1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))) |
#s(approx (- 1 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) eps))) |
#s(approx (exp (neg (* (+ 1 eps) x))) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (neg (* (+ 1 eps) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (* (+ 1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | 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) |
| 6.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
| 4.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
| 3.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) 1 (/ 1 eps) eps (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (- 1 eps) x (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (+ 1 eps) 2) |
| 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) |
| 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 |
|---|
(*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))) #s(literal 2 binary64))) |
(*.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps)) (exp.f64 (fma.f64 eps x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (fma.f64 eps x x)) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))) (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (fma.f64 eps x x)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) |
(-.f64 (/.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (fma.f64 eps x x)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) (neg.f64 #s(literal 2 binary64)))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps) #s(literal 2 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (*.f64 (exp.f64 (fma.f64 eps x x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (*.f64 (exp.f64 (fma.f64 eps x x)) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps)) (exp.f64 (fma.f64 eps x x))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) (neg.f64 #s(literal 2 binary64))) |
(/.f64 (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))) (neg.f64 #s(literal 1 binary64))) (neg.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) #s(literal 1 binary64)) (neg.f64 #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 #s(literal 1 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) eps) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) (neg.f64 #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) #s(literal 2 binary64) (*.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) (*.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))) (neg.f64 #s(literal 2 binary64)))) (*.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) (*.f64 (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) eps) eps)) (exp.f64 (fma.f64 eps x x)))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (neg.f64 #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (fma.f64 eps x x))))) (*.f64 (neg.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (neg.f64 #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) (neg.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 #s(literal 2 binary64)) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps)) (neg.f64 #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x)))))) (*.f64 #s(literal 2 binary64) (neg.f64 #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) eps) #s(literal 2 binary64))) (neg.f64 #s(literal 2 binary64))) (/.f64 (-.f64 eps #s(literal 1 binary64)) (*.f64 eps (exp.f64 (fma.f64 eps x x))))) (neg.f64 #s(literal 2 binary64))) |
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(fma.f64 eps (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) (neg.f64 eps))) |
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 eps))) |
(neg.f64 (-.f64 (neg.f64 #s(literal 1 binary64)) eps)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 #s(literal 1 binary64)) eps))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 #s(literal 1 binary64)) eps) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 2 binary64) #s(literal 0 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(fma.f64 eps (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 (/.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 eps (/.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (neg.f64 #s(literal 1 binary64)))) |
(neg.f64 (neg.f64 #s(literal 2 binary64))) |
Compiled 12 228 to 5 018 computations (59% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 892 | 5 | 897 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 893 | 5 | 898 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 39.0% | (/.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)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
| ▶ | 41.3% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| ▶ | 52.3% | #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 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))))) |
| ▶ | 99.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) |
| ▶ | 41.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 296 to 262 computations (11.5% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) |
#s(literal 1/2 binary64) |
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) |
(exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
x |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) |
#s(literal -1 binary64) |
(exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) |
(neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))) |
(*.f64 x (+.f64 #s(literal 1 binary64) eps)) |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 #s(literal 1 binary64) eps) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(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) |
#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 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 x (exp.f64 (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(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 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.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 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.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 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) #s(literal 1 binary64))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))) #s(literal 1 binary64))))) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) #s(literal 2 binary64)) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) |
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))))) |
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 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)))))) #s(literal 1 binary64))))) |
#s(approx (neg (* x (- 1 eps))) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) |
#s(approx (* x (- 1 eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
#s(approx x x) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))) #s(literal 1 binary64))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))))))) #s(literal 1 binary64))) |
#s(approx (exp (neg (* x (+ 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) |
#s(approx (exp (neg (* x (+ 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))) |
#s(approx (exp (neg (* x (+ 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))) |
#s(approx (neg (* x (+ 1 eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* x (+ 1 eps)) (*.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 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))) |
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#s(approx eps eps) |
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#s(approx (- (/ 1 eps) 1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)) eps)) |
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#s(approx (neg (* x (- 1 eps))) (*.f64 eps x)) |
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#s(approx (* x (- 1 eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
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#s(approx (neg (* x (+ 1 eps))) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) x))) |
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#s(approx (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (-.f64 (+.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) eps)) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps)))) |
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#s(approx (exp (neg (* x (+ 1 eps)))) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (neg (* x (+ 1 eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (* x (+ 1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))) |
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#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) eps))) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) eps))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (* -1 (exp (neg (* x (+ 1 eps))))) -1 (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (+ (exp (neg x)) (* x (exp (neg x)))) (exp (neg x)) (neg x) (* x (exp (neg x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))) (* -1 (* x (exp (neg x))))) |
| 5.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (* -1 (exp (neg (* x (+ 1 eps))))) -1 (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (+ (exp (neg x)) (* x (exp (neg x)))) (exp (neg x)) (neg x) (* x (exp (neg x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))) (* -1 (* x (exp (neg x))))) |
| 4.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (* -1 (exp (neg (* x (+ 1 eps))))) -1 (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (+ (exp (neg x)) (* x (exp (neg x)))) (exp (neg x)) (neg x) (* x (exp (neg x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))) (* -1 (* x (exp (neg x))))) |
| 4.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (* -1 (exp (neg (* x (+ 1 eps))))) -1 (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (+ (exp (neg x)) (* x (exp (neg x)))) (exp (neg x)) (neg x) (* x (exp (neg x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))) (* -1 (* x (exp (neg x))))) |
| 3.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) x (- 1 eps) 1 eps (* -1 (exp (neg (* x (+ 1 eps))))) -1 (exp (neg (* x (+ 1 eps)))) (neg (* x (+ 1 eps))) (* x (+ 1 eps)) (+ 1 eps) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ 1 (/ 1 eps)) (/ 1 eps) (exp (neg (* (- 1 eps) x))) (neg (* (- 1 eps) x)) (* (- 1 eps) x) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (- (/ 1 eps) 1) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (exp (neg (* (+ 1 eps) x))) (neg (* (+ 1 eps) x)) (* (+ 1 eps) x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))) (+ (exp (neg x)) (* x (exp (neg x)))) (exp (neg x)) (neg x) (* x (exp (neg x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))) (* -1 (* x (exp (neg x))))) |
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) |
#s(literal 1/2 binary64) |
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) |
(exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
x |
(-.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
eps |
(*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) |
#s(literal -1 binary64) |
(exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) |
(neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))) |
(*.f64 x (+.f64 #s(literal 1 binary64) eps)) |
(+.f64 #s(literal 1 binary64) eps) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) |
(/.f64 #s(literal 1 binary64) eps) |
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
#s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) |
#s(literal 2 binary64) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
(-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
#s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))) |
(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) |
#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 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))))) |
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))) |
(+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(*.f64 x (exp.f64 (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x))))) |
(*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ (+ 1 eps) eps) (pow (exp (+ -1 eps)) x)) (* (/ (+ -1 eps) eps) (pow (exp (- -1 eps)) x))) 2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (neg.f64 #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 #s(literal 1/2 binary64)) (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 eps x x))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 eps x x)))) |
(+.f64 (*.f64 (cosh.f64 (-.f64 x (*.f64 eps x))) #s(literal 1/2 binary64)) (*.f64 (+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (cosh.f64 (-.f64 x (*.f64 eps x)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 eps x x))))) |
(-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(fma.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (*.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 eps x x))) #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(literal -1 binary64)) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 eps x x))) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 eps x x)))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 (cosh.f64 (-.f64 x (*.f64 eps x))) #s(literal 1/2 binary64) (*.f64 (+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (cosh.f64 (-.f64 x (*.f64 eps x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(neg.f64 (*.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) #s(literal 1/2 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(+.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (cosh.f64 (fma.f64 eps x x))) (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(+.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (sinh.f64 (fma.f64 eps x x))) (cosh.f64 (fma.f64 eps x x))) |
(+.f64 (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (cosh.f64 (fma.f64 eps x x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(+.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (cosh.f64 (-.f64 x (*.f64 eps x)))) (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(+.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (neg.f64 (cosh.f64 (fma.f64 eps x x))))) (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(+.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (cosh.f64 (fma.f64 eps x x))) |
(+.f64 (+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (cosh.f64 (-.f64 x (*.f64 eps x)))) |
(+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (+.f64 (cosh.f64 (-.f64 x (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(+.f64 (cosh.f64 (fma.f64 eps x x)) (+.f64 (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(+.f64 (neg.f64 (neg.f64 (cosh.f64 (fma.f64 eps x x)))) (+.f64 (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(+.f64 (cosh.f64 (-.f64 x (*.f64 eps x))) (+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (cosh.f64 (-.f64 x (*.f64 eps x))) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(+.f64 (neg.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (cosh.f64 (-.f64 x (*.f64 eps x))))) (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(-.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (cosh.f64 (fma.f64 eps x x))) (sinh.f64 (fma.f64 eps x x))) |
(-.f64 (cosh.f64 (fma.f64 eps x x)) (-.f64 (sinh.f64 (fma.f64 eps x x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(-.f64 (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (cosh.f64 (fma.f64 eps x x)))) (sinh.f64 (fma.f64 eps x x))) |
(-.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (cosh.f64 (-.f64 x (*.f64 eps x)))) (sinh.f64 (-.f64 x (*.f64 eps x)))) |
(-.f64 (cosh.f64 (-.f64 x (*.f64 eps x))) (-.f64 (sinh.f64 (-.f64 x (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(-.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (cosh.f64 (-.f64 x (*.f64 eps x))))) |
(-.f64 (cosh.f64 (-.f64 x (*.f64 eps x))) (neg.f64 (+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (-.f64 x (*.f64 eps x))) #s(literal 1 binary64)) (exp.f64 (-.f64 x (*.f64 eps x)))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (fma.f64 eps x x)) #s(literal 1 binary64)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.f64 eps x))) (*.f64 (exp.f64 (fma.f64 eps x x)) #s(literal 1 binary64))) (*.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 x (*.f64 eps x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.f64 eps x))) (*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 eps x x)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (exp.f64 (-.f64 x (*.f64 eps x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 eps x x)) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) #s(literal 1 binary64))) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) (exp.f64 (fma.f64 eps x x)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 eps x x)) (*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 x (*.f64 eps x))))) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) (exp.f64 (fma.f64 eps x x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 eps x x))) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) #s(literal -1 binary64))) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) (exp.f64 (fma.f64 eps x x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (fma.f64 eps x x))) #s(literal -1 binary64)) (exp.f64 (fma.f64 eps x x))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (exp.f64 (-.f64 x (*.f64 eps x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x))))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))) #s(literal -1 binary64)) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x))))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (fma.f64 eps x x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 (fma.f64 eps x x)))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))) (*.f64 (exp.f64 (fma.f64 eps x x)) #s(literal -1 binary64))) (*.f64 (exp.f64 (fma.f64 eps x x)) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))) (*.f64 #s(literal -1 binary64) (exp.f64 (fma.f64 eps x x)))) (*.f64 (exp.f64 (fma.f64 eps x x)) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) #s(literal -1 binary64))) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) (neg.f64 (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 #s(literal -1 binary64) (exp.f64 (-.f64 x (*.f64 eps x))))) (*.f64 (exp.f64 (-.f64 x (*.f64 eps x))) (neg.f64 (exp.f64 (fma.f64 eps x x))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))) (*.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) #s(literal -1 binary64))) (*.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))) (*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 eps x x))))) (*.f64 (neg.f64 (exp.f64 (fma.f64 eps x x))) (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (fma.f64 eps x x))) (*.f64 (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))) #s(literal -1 binary64))) (*.f64 (neg.f64 (exp.f64 (-.f64 x (*.f64 eps x)))) (neg.f64 (exp.f64 (fma.f64 eps x x))))) |
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#s(literal 1 binary64) |
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eps |
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(+.f64 (neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (cosh.f64 x))) (neg.f64 (*.f64 (sinh.f64 (neg.f64 x)) (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 x (exp.f64 x))) |
(-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 (neg.f64 x))) |
(-.f64 (-.f64 (sinh.f64 x) (/.f64 x (exp.f64 x))) (cosh.f64 x)) |
(-.f64 (-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (cosh.f64 x)) (sinh.f64 (neg.f64 x))) |
(-.f64 (-.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (sinh.f64 (neg.f64 x))) (cosh.f64 x)) |
(-.f64 (-.f64 (neg.f64 (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) x)) (*.f64 (sinh.f64 (neg.f64 x)) x)) |
(-.f64 (sinh.f64 x) (fma.f64 (exp.f64 (neg.f64 x)) x (cosh.f64 x))) |
(-.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) (/.f64 (neg.f64 x) (exp.f64 x)))) |
(/.f64 (-.f64 #s(literal -1 binary64) x) (exp.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (exp.f64 x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (exp.f64 x)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (exp.f64 x) (exp.f64 x))) |
(/.f64 (fma.f64 (neg.f64 x) (exp.f64 x) (*.f64 #s(literal -1 binary64) (exp.f64 x))) (*.f64 (exp.f64 x) (exp.f64 x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) (*.f64 (exp.f64 x) (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 x))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (exp.f64 x) (*.f64 (neg.f64 x) (exp.f64 x))) (*.f64 (exp.f64 x) (exp.f64 x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (exp.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 (exp.f64 x) x)) (*.f64 (exp.f64 x) (exp.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x) (neg.f64 x)) (exp.f64 x)) |
(/.f64 (fma.f64 (/.f64 x (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 x) #s(literal -1 binary64)) (exp.f64 x)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 x) #s(literal 1 binary64))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x)))) |
(/.f64 (fma.f64 (neg.f64 x) (neg.f64 (exp.f64 x)) (*.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 x (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 x)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) (*.f64 (neg.f64 (exp.f64 x)) (neg.f64 x))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (exp.f64 x) (*.f64 (neg.f64 x) (neg.f64 (exp.f64 x)))) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (exp.f64 x)) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x)) x) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 (exp.f64 x))) (*.f64 (exp.f64 x) #s(literal -1 binary64))) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 x) (exp.f64 x)) (neg.f64 (exp.f64 x))) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) x)) (*.f64 (neg.f64 (exp.f64 x)) (exp.f64 x))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x (exp.f64 x)) (exp.f64 x) #s(literal 1 binary64))) (exp.f64 x)) |
(fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (/.f64 (neg.f64 x) (exp.f64 x))) |
(fma.f64 (neg.f64 (exp.f64 (neg.f64 x))) x (neg.f64 (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) (neg.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64) (/.f64 (neg.f64 x) (exp.f64 x))) |
(fma.f64 (/.f64 (neg.f64 x) (exp.f64 x)) #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(fma.f64 (sinh.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x) (*.f64 (cosh.f64 x) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (/.f64 (neg.f64 x) (exp.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (exp.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) |
(fma.f64 x (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 (neg.f64 x)))) |
(fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) (sinh.f64 (neg.f64 x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (cosh.f64 x))) |
(fma.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (cosh.f64 x)) #s(literal -1 binary64) (sinh.f64 x)) |
(fma.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) x (neg.f64 (exp.f64 (neg.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (neg.f64 x)) x (cosh.f64 x)) (sinh.f64 x)) |
(fma.f64 (neg.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) x) (exp.f64 (neg.f64 x)))) |
(fma.f64 (neg.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) x (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (-.f64 #s(literal -1 binary64) x) (cosh.f64 x) (*.f64 (-.f64 #s(literal -1 binary64) x) (sinh.f64 (neg.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (cosh.f64 x) (-.f64 (sinh.f64 x) (/.f64 x (exp.f64 x)))) |
(fma.f64 (cosh.f64 x) (neg.f64 x) (-.f64 (*.f64 (sinh.f64 x) x) (exp.f64 (neg.f64 x)))) |
(fma.f64 (cosh.f64 x) (neg.f64 x) (fma.f64 (sinh.f64 x) x (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (cosh.f64 x) #s(literal -1 binary64) (-.f64 (sinh.f64 x) (/.f64 x (exp.f64 x)))) |
(fma.f64 (*.f64 (cosh.f64 x) x) #s(literal -1 binary64) (-.f64 (*.f64 (sinh.f64 x) x) (exp.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 (cosh.f64 x) x) #s(literal -1 binary64) (fma.f64 (sinh.f64 x) x (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (cosh.f64 x) (-.f64 #s(literal -1 binary64) x) (*.f64 (sinh.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x))) |
(fma.f64 x (neg.f64 (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) x) (exp.f64 (neg.f64 x)))) |
(fma.f64 x (neg.f64 (cosh.f64 x)) (fma.f64 (sinh.f64 x) x (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (neg.f64 (cosh.f64 x)) x (-.f64 (*.f64 (sinh.f64 x) x) (exp.f64 (neg.f64 x)))) |
(fma.f64 (neg.f64 (cosh.f64 x)) x (fma.f64 (sinh.f64 x) x (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) x) (-.f64 (*.f64 (sinh.f64 x) x) (exp.f64 (neg.f64 x)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) x) (fma.f64 (sinh.f64 x) x (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (cosh.f64 x)) #s(literal -1 binary64) (*.f64 (*.f64 (sinh.f64 (neg.f64 x)) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (cosh.f64 x) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (sinh.f64 (neg.f64 x))) #s(literal -1 binary64))) |
(fma.f64 (cosh.f64 x) #s(literal -1 binary64) (*.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (sinh.f64 (neg.f64 x))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (cosh.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 (neg.f64 x)) (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (cosh.f64 x) (*.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (neg.f64 x)) x (sinh.f64 (neg.f64 x))))) |
(fma.f64 (cosh.f64 x) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 (neg.f64 x)) x (sinh.f64 (neg.f64 x))))) |
(fma.f64 #s(literal -1 binary64) (cosh.f64 x) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (sinh.f64 (neg.f64 x))))) |
(fma.f64 (cosh.f64 x) #s(literal -1 binary64) (neg.f64 (fma.f64 (exp.f64 (neg.f64 x)) x (sinh.f64 (neg.f64 x))))) |
(neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (exp.f64 x))) |
(*.f64 (neg.f64 (exp.f64 (neg.f64 x))) x) |
(*.f64 (exp.f64 (neg.f64 x)) (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (exp.f64 x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x (exp.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (exp.f64 x))) |
(*.f64 x (neg.f64 (exp.f64 (neg.f64 x)))) |
(*.f64 (neg.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 (neg.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) x)) |
(+.f64 (*.f64 (sinh.f64 x) x) (*.f64 (neg.f64 x) (cosh.f64 x))) |
(-.f64 (*.f64 (neg.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (neg.f64 x))) |
(-.f64 (*.f64 (neg.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) x)) |
(/.f64 (neg.f64 x) (exp.f64 x)) |
(/.f64 x (neg.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 (cosh.f64 x)) x (*.f64 (sinh.f64 x) x)) |
(fma.f64 (sinh.f64 (neg.f64 x)) (neg.f64 x) (*.f64 (neg.f64 x) (cosh.f64 x))) |
(fma.f64 (*.f64 (cosh.f64 x) x) #s(literal -1 binary64) (*.f64 (sinh.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (cosh.f64 x) x) (*.f64 (sinh.f64 x) x)) |
(fma.f64 x (neg.f64 (cosh.f64 x)) (*.f64 (sinh.f64 x) x)) |
(fma.f64 (neg.f64 x) (sinh.f64 (neg.f64 x)) (*.f64 (neg.f64 x) (cosh.f64 x))) |
(fma.f64 (sinh.f64 x) x (*.f64 (neg.f64 x) (cosh.f64 x))) |
(fma.f64 (cosh.f64 x) (neg.f64 x) (*.f64 (sinh.f64 x) x)) |
(fma.f64 (neg.f64 x) (cosh.f64 x) (*.f64 (sinh.f64 x) x)) |
(fma.f64 x (sinh.f64 x) (*.f64 (neg.f64 x) (cosh.f64 x))) |
(fma.f64 (*.f64 (sinh.f64 (neg.f64 x)) x) #s(literal -1 binary64) (*.f64 (neg.f64 x) (cosh.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 (neg.f64 x)) x) (*.f64 (neg.f64 x) (cosh.f64 x))) |
(neg.f64 (/.f64 x (exp.f64 x))) |
Compiled 25 806 to 11 342 computations (56% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 053 | 13 | 2 066 |
| Fresh | 0 | 0 | 0 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 057 | 14 | 2 071 |
| Status | Accuracy | Program |
|---|---|---|
| 18.5% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 28.8% | (/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| 52.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) | |
| ▶ | 99.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
| 40.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 eps (/.f64 #s(literal 1 binary64) eps))) | |
| ▶ | 58.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))) |
| 63.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))) | |
| 52.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x))))) | |
| 70.4% | #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 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) | |
| ▶ | 52.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) |
| 51.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) | |
| ▶ | 39.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
| ▶ | 40.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
| ✓ | 41.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 920 to 849 computations (7.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(-.f64 eps #s(literal 1 binary64)) |
eps |
#s(literal 1 binary64) |
x |
(exp.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 -1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(pow.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))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (+.f64 x #s(literal 2 binary64)) x) |
(+.f64 x #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) |
(exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) eps)) |
(+.f64 #s(literal 1 binary64) eps) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.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 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.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 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) #s(literal 2 binary64)) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))))) #s(literal 1 binary64))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))))))))) #s(literal 1 binary64))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 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)))))) #s(literal 1 binary64))))) |
#s(approx (* (- eps 1) x) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) |
#s(approx x x) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))) |
#s(approx (* (- -1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) #s(literal 1 binary64))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))) #s(literal 1 binary64))))) |
#s(approx (* -1 x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))) |
#s(approx (* -1/2 (pow x 2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (* (exp (neg x)) (+ (+ x 2) x)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* (exp (neg x)) (+ (+ x 2) x)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 1 binary64))))) |
#s(approx (* (exp (neg x)) (+ (+ x 2) x)) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 2/3 binary64) (*.f64 #s(literal -1/4 binary64) x))) #s(literal 1 binary64))))) |
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) |
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64))))) |
#s(approx (+ (+ x 2) x) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (+ x 2) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) #s(literal 2 binary64))))) |
#s(approx (* x (- 1 eps)) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64)) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))) #s(literal 1 binary64))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 eps (*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))))))) #s(literal 1 binary64))) |
#s(approx (* x (+ 1 eps)) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) |
#s(approx (exp (* (- eps 1) x)) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) |
#s(approx (exp (* (- -1 eps) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))))))) |
#s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))))) |
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) x))))) |
#s(approx (+ 1 (* -1/2 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x)))) |
#s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x)))) |
#s(approx (* (exp (neg x)) (+ (+ x 2) x)) (*.f64 #s(literal 2 binary64) (*.f64 x (exp.f64 (neg.f64 x))))) |
#s(approx (* (exp (neg x)) (+ (+ x 2) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (exp.f64 (neg.f64 x)) x))))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (+ (+ x 2) x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (+ x 2) x) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ x 2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x))))))) |
#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (-.f64 (*.f64 eps x) x))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))))) |
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) |
#s(approx (+ 1 (* -1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) |
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) x) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
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#s(approx (* (exp (neg x)) (+ (+ x 2) x)) (*.f64 #s(literal 2 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (* (exp (neg x)) (+ (+ x 2) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -2 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) x)))))) |
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
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#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) |
#s(approx (neg (* x (- 1 eps))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) |
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))))) |
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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 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))))))))))) |
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#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (fma.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
#s(approx (* (- eps 1) x) (fma.f64 #s(literal -1 binary64) x (*.f64 eps x))) |
#s(approx (- eps 1) (-.f64 eps #s(literal 1 binary64))) |
#s(approx eps eps) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))))) |
#s(approx (* (- -1 eps) x) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (*.f64 eps x)))) |
#s(approx (- -1 eps) (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))))))) |
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#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))) |
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))) |
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x))))))) |
#s(approx (exp (neg (* x (- 1 eps)))) (+.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 x (exp.f64 (neg.f64 x))))))) |
#s(approx (neg (* x (- 1 eps))) (-.f64 (*.f64 eps x) x)) |
#s(approx (* x (- 1 eps)) (+.f64 x (*.f64 #s(literal -1 binary64) (*.f64 eps x)))) |
#s(approx (- 1 eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 x (exp.f64 (neg.f64 x)))))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 x (exp.f64 (neg.f64 x))))))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x)))))) (*.f64 x (exp.f64 (neg.f64 x))))))) |
#s(approx (- (* x (+ 1 eps)) 1) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (* x (+ 1 eps)) 1) (-.f64 (+.f64 x (*.f64 eps x)) #s(literal 1 binary64))) |
#s(approx (* x (+ 1 eps)) (+.f64 x (*.f64 eps x))) |
#s(approx (+ 1 eps) (+.f64 #s(literal 1 binary64) eps)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) eps)))) |
#s(approx (* (- eps 1) x) (*.f64 eps x)) |
#s(approx (* (- eps 1) x) (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) |
#s(approx (- eps 1) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* (- -1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps x))) |
#s(approx (* (- -1 eps) x) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) |
#s(approx (- -1 eps) (*.f64 #s(literal -1 binary64) eps)) |
#s(approx (- -1 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) |
#s(approx (neg (* x (- 1 eps))) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (* x (- 1 eps)) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps)))) |
#s(approx (- 1 eps) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) |
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 eps (-.f64 (+.f64 x (/.f64 x eps)) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* x (+ 1 eps)) (*.f64 eps (+.f64 x (/.f64 x eps)))) |
#s(approx (+ 1 eps) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))))) |
#s(approx (exp (* (- eps 1) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (* (- eps 1) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps))))) |
#s(approx (- eps 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) |
#s(approx (exp (* (- -1 eps) x)) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) |
#s(approx (* (- -1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))) |
#s(approx (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (-.f64 (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))) |
#s(approx (exp (neg (* x (- 1 eps)))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (neg (* x (- 1 eps))) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 x eps) x)))) |
#s(approx (* x (- 1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))) |
#s(approx (- 1 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) |
#s(approx (- (* x (+ 1 eps)) 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) eps)))))) |
#s(approx (* x (+ 1 eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* -1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (neg x) (+ (+ x 2) x) (+ x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) (- 1 eps) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps)) |
| 6.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* -1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (neg x) (+ (+ x 2) x) (+ x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) (- 1 eps) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps)) |
| 6.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* -1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (neg x) (+ (+ x 2) x) (+ x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) (- 1 eps) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps)) |
| 3.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* -1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (neg x) (+ (+ x 2) x) (+ x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) (- 1 eps) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps)) |
| 3.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) eps 1 x (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* -1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+ 1 (* -1/2 (pow x 2))) (* -1/2 (pow x 2)) -1/2 (pow x 2) 2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (* (exp (neg x)) (+ (+ x 2) x)) (exp (neg x)) (neg x) (+ (+ x 2) x) (+ x 2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))) (exp (neg (* x (- 1 eps)))) (neg (* x (- 1 eps))) (* x (- 1 eps)) (- 1 eps) (* -1 (exp (neg (* x (+ 1 eps))))) (- (* x (+ 1 eps)) 1) (* x (+ 1 eps)) (+ 1 eps)) |
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(-.f64 eps #s(literal 1 binary64)) |
eps |
#s(literal 1 binary64) |
x |
(exp.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 -1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal -1 binary64) x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(pow.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))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) |
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (+.f64 x #s(literal 2 binary64)) x) |
(+.f64 x #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))) |
(exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
(-.f64 #s(literal 1 binary64) eps) |
#s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) |
(*.f64 x (+.f64 #s(literal 1 binary64) eps)) |
(+.f64 #s(literal 1 binary64) eps) |
| Outputs |
|---|
#s(approx (/ (+ (* (pow (exp (- eps 1)) x) (/ (+ eps 1) eps)) (/ (/ (- eps 1) eps) (exp (+ x (* eps x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(+.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(+.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (cosh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(+.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(+.f64 (cosh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (+.f64 (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(+.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (-.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(-.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (neg.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(-.f64 (+.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (+.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (-.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (neg.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))) |
(neg.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(fabs.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(fabs.f64 (-.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) |
(+.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(+.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x))) |
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(-.f64 (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (sinh.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(/.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
(neg.f64 (-.f64 (sinh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) (cosh.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))) |
(pow.f64 (exp.f64 x) (-.f64 eps #s(literal 1 binary64))) |
(pow.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (-.f64 eps #s(literal 1 binary64))) x) |
(pow.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) eps)) |
(pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (neg.f64 x)) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)))) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)) |
(*.f64 x (-.f64 eps #s(literal 1 binary64))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(*.f64 x (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 eps))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 eps) (neg.f64 x))) |
(+.f64 (*.f64 eps x) (*.f64 (neg.f64 #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 eps x) (*.f64 x (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 eps))) |
(fma.f64 eps x (*.f64 (neg.f64 #s(literal 1 binary64)) x)) |
(fma.f64 eps x (*.f64 x (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 x eps (*.f64 (neg.f64 #s(literal 1 binary64)) x)) |
(fma.f64 x eps (*.f64 x (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 eps) (neg.f64 x))) |
(neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))) |
(neg.f64 (*.f64 (neg.f64 x) (-.f64 eps #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) (neg.f64 x))) |
(+.f64 (neg.f64 #s(literal 1 binary64)) eps) |
(+.f64 eps (neg.f64 #s(literal 1 binary64))) |
(+.f64 (neg.f64 #s(literal 1 binary64)) (neg.f64 (neg.f64 eps))) |
(-.f64 eps #s(literal 1 binary64)) |
(-.f64 eps (neg.f64 (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 eps #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) eps (neg.f64 #s(literal 1 binary64))) |
(neg.f64 (-.f64 #s(literal 1 binary64) eps)) |
eps |
(*.f64 eps #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) eps) |
#s(literal 1 binary64) |
(fabs.f64 #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 #s(literal 0 binary64)))) #s(literal 2 binary64)) |
(cosh.f64 #s(literal 0 binary64)) |
(cosh.f64 (neg.f64 #s(literal 0 binary64))) |
(exp.f64 #s(literal 0 binary64)) |
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (neg.f64 x)) |
(*.f64 x (neg.f64 #s(literal -1 binary64))) |
(neg.f64 (neg.f64 x)) |
(fabs.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(fabs.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(+.f64 (cosh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(+.f64 (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (cosh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(-.f64 (cosh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (neg.f64 (sinh.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps)) |
(pow.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps)) x) |
(sqrt.f64 (*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) x) |
(*.f64 x (-.f64 #s(literal -1 binary64) eps)) |
(+.f64 (neg.f64 x) (*.f64 (neg.f64 eps) x)) |
(+.f64 (neg.f64 x) (*.f64 x (neg.f64 eps))) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (neg.f64 eps) x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 x (neg.f64 eps))) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 eps) x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 x (neg.f64 eps))) |
(neg.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64)))) |
(neg.f64 (*.f64 (-.f64 eps #s(literal -1 binary64)) x)) |
(+.f64 (neg.f64 eps) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (neg.f64 eps)) |
(-.f64 #s(literal -1 binary64) eps) |
(-.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 eps))) |
(neg.f64 (-.f64 eps #s(literal -1 binary64))) |
#s(literal -1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (* (pow (exp (- eps 1)) x) (/ (+ eps 1) eps)) (/ (/ (- eps 1) eps) (exp (+ x (* eps x))))) 2) #s(approx (* 1/2 (+ (pow (exp (- eps 1)) x) (pow (exp x) (neg (+ eps 1))))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (* 1/2 (+ (pow (exp (- eps 1)) x) (pow (exp x) (neg (+ eps 1))))) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(literal -1 binary64))) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (neg.f64 x) (neg.f64 #s(literal 1 binary64))) |
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
#s(approx (/ (+ (* (pow (exp (- eps 1)) x) (/ (+ eps 1) eps)) (/ (/ (- eps 1) eps) (exp (+ x (* eps x))))) 2) #s(approx (* 1/2 (+ (/ (+ x 1) (exp x)) (/ (+ x 1) (exp x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)))) |
#s(approx (* 1/2 (+ (/ (+ x 1) (exp x)) (/ (+ x 1) (exp x)))) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 #s(literal -1/2 binary64))) (*.f64 x x))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(neg.f64 (-.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 #s(literal 1 binary64))) |
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(/.f64 (*.f64 (+.f64 (+.f64 x #s(literal 2 binary64)) x) #s(literal 1 binary64)) (exp.f64 x)) |
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(-.f64 (cosh.f64 x) (sinh.f64 x)) |
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(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
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(exp.f64 (neg.f64 x)) |
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(neg.f64 x) |
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(-.f64 (+.f64 x #s(literal 2 binary64)) (neg.f64 x)) |
(-.f64 (+.f64 x x) (neg.f64 #s(literal 2 binary64))) |
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(-.f64 x (+.f64 (neg.f64 #s(literal 2 binary64)) (neg.f64 x))) |
(-.f64 x (-.f64 (neg.f64 #s(literal 2 binary64)) x)) |
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(fma.f64 #s(literal 1 binary64) x (+.f64 x #s(literal 2 binary64))) |
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(-.f64 #s(literal 2 binary64) (neg.f64 x)) |
(-.f64 x (neg.f64 #s(literal 2 binary64))) |
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(neg.f64 (-.f64 (neg.f64 #s(literal 2 binary64)) x)) |
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(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) |
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(+.f64 (*.f64 eps x) (*.f64 (neg.f64 #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 eps x) (*.f64 x (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 (neg.f64 x) (neg.f64 eps))) |
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(*.f64 x (-.f64 #s(literal 1 binary64) eps)) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) x) |
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(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 eps) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 eps))) |
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(fma.f64 (neg.f64 #s(literal -1 binary64)) x (*.f64 x (neg.f64 eps))) |
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(fma.f64 x (neg.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 eps) x)) |
(fma.f64 x (neg.f64 #s(literal -1 binary64)) (*.f64 x (neg.f64 eps))) |
(neg.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(+.f64 (neg.f64 eps) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 eps)) |
(+.f64 (neg.f64 eps) (neg.f64 (neg.f64 #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) eps) |
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 eps))) |
(neg.f64 (-.f64 eps #s(literal 1 binary64))) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64))) |
(+.f64 (fma.f64 eps x x) (neg.f64 #s(literal 1 binary64))) |
(+.f64 (neg.f64 #s(literal 1 binary64)) (fma.f64 eps x x)) |
(+.f64 x (-.f64 (*.f64 eps x) #s(literal 1 binary64))) |
(+.f64 x (fma.f64 eps x (neg.f64 #s(literal 1 binary64)))) |
(-.f64 (fma.f64 eps x x) #s(literal 1 binary64)) |
(-.f64 (fma.f64 eps x x) (neg.f64 (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) eps) x (neg.f64 #s(literal 1 binary64))) |
(fma.f64 x (+.f64 #s(literal 1 binary64) eps) (neg.f64 #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) |
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(fma.f64 (neg.f64 x) #s(literal -1 binary64) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (fma.f64 eps x (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 #s(literal -1 binary64)) x (-.f64 (*.f64 eps x) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 #s(literal -1 binary64)) x (fma.f64 eps x (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) x (-.f64 (*.f64 eps x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (fma.f64 eps x (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (fma.f64 eps x (neg.f64 #s(literal 1 binary64)))) |
(fma.f64 x (neg.f64 #s(literal -1 binary64)) (-.f64 (*.f64 eps x) #s(literal 1 binary64))) |
(fma.f64 x (neg.f64 #s(literal -1 binary64)) (fma.f64 eps x (neg.f64 #s(literal 1 binary64)))) |
(neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 eps x x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) eps)) |
(*.f64 (+.f64 #s(literal 1 binary64) eps) x) |
(+.f64 (*.f64 eps x) x) |
(+.f64 x (*.f64 eps x)) |
(-.f64 x (neg.f64 (*.f64 eps x))) |
(-.f64 x (*.f64 (neg.f64 eps) x)) |
(-.f64 x (*.f64 (neg.f64 x) eps)) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 eps x)) |
(fma.f64 (neg.f64 #s(literal -1 binary64)) x (*.f64 eps x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 eps x)) |
(fma.f64 x (neg.f64 #s(literal -1 binary64)) (*.f64 eps x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 eps x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 eps x)) |
(+.f64 #s(literal 1 binary64) eps) |
(+.f64 eps #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 eps))) |
(-.f64 #s(literal 1 binary64) (neg.f64 eps)) |
(-.f64 eps (neg.f64 #s(literal 1 binary64))) |
(fma.f64 eps #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) eps #s(literal 1 binary64)) |
(neg.f64 (-.f64 (neg.f64 eps) #s(literal 1 binary64))) |
Compiled 6 047 to 2 960 computations (51.1% saved)
15 alts after pruning (13 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 503 | 10 | 513 |
| Fresh | 5 | 3 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 512 | 15 | 527 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
| ▶ | 87.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
| 70.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) | |
| 65.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) | |
| 40.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 eps (/.f64 #s(literal 1 binary64) eps))) | |
| ▶ | 58.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64)))))) |
| 63.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))) | |
| ✓ | 52.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) |
| 51.9% | #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 #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) | |
| 39.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ▶ | 40.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 40.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))) |
| 52.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))))) | |
| 13.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x))))) | |
| ✓ | 41.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 965 to 909 computations (5.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) |
#s(approx (* (- eps 1) x) (*.f64 eps x)) |
(*.f64 eps x) |
eps |
x |
(exp.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 -1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
#s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) |
(-.f64 x #s(literal -1 binary64)) |
(exp.f64 x) |
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(-.f64 eps #s(literal 1 binary64)) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64))) |
(-.f64 (fma.f64 eps x x) #s(literal 1 binary64)) |
(fma.f64 eps x x) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.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 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.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 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (-.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) #s(literal 2 binary64)) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))))) #s(literal 1 binary64))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (+.f64 eps (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64)))))))))) #s(literal 1 binary64))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))))) #s(literal 1 binary64))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (+.f64 eps (*.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 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)))))) #s(literal 1 binary64))))) |
#s(approx (* (- eps 1) x) (*.f64 x (-.f64 eps #s(literal 1 binary64)))) |
#s(approx (* eps x) (*.f64 eps x)) |
#s(approx x x) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))))) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps) (*.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))))) |
#s(approx (* (- -1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))))) #s(literal 1 binary64))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))))) #s(literal 1 binary64))))) |
#s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 x) 1) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)) x)) |
#s(approx (* (/ (- x -1) (exp x)) (+ 1/2 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* (/ (- x -1) (exp x)) (+ 1/2 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))))) |
#s(approx (* (/ (- x -1) (exp x)) (+ 1/2 1/2)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal -1/8 binary64) x))) #s(literal 1/2 binary64))))) |
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (exp x) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))))) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) #s(literal -1 binary64)) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))) |
#s(approx (+ (* eps x) x) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64)))))) |
#s(approx (exp (* (- eps 1) x)) (exp.f64 (*.f64 x (-.f64 eps #s(literal 1 binary64))))) |
#s(approx (exp (* (- -1 eps) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (+.f64 x (*.f64 eps x)))))))) |
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (- (/ 1 x) 1) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
#s(approx (* (/ (- x -1) (exp x)) (+ 1/2 1/2)) (/.f64 x (exp.f64 x))) |
#s(approx (* (/ (- x -1) (exp x)) (+ 1/2 1/2)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (exp.f64 x)))))) |
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) |
#s(approx (- (+ (* eps x) x) 1) (*.f64 x (-.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) |
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (+ (* eps x) x) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) |
#s(approx (- (+ (* eps x) x) 1) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) eps (/.f64 #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 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 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) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 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) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (exp.f64 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (neg.f64 x)))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) (exp.f64 (neg.f64 x))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))))) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x))) (*.f64 #s(literal -1/120 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (exp.f64 (neg.f64 x))))))))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (fma.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (fma.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
#s(approx (exp (* (- eps 1) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
#s(approx (* (- eps 1) x) (fma.f64 #s(literal -1 binary64) x (*.f64 eps x))) |
#s(approx eps eps) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))))))) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (exp (* (- -1 eps) x)) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x))) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))))))) |
#s(approx (* (- -1 eps) x) (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (*.f64 eps x)))) |
#s(approx (- -1 eps) (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))))))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (neg.f64 x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (exp.f64 (neg.f64 x)))))) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (exp.f64 (neg.f64 x)))))))))))) |
#s(approx (- eps 1) (-.f64 eps #s(literal 1 binary64))) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (*.f64 eps (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (*.f64 eps (-.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (*.f64 #s(literal -1 binary64) x)))))) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (+ (* eps x) x) 1) (-.f64 x #s(literal 1 binary64))) |
#s(approx (- (+ (* eps x) x) 1) (-.f64 (+.f64 x (*.f64 eps x)) #s(literal 1 binary64))) |
#s(approx (+ (* eps x) x) (+.f64 x (*.f64 eps x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) eps)))) |
#s(approx (* (- eps 1) x) (*.f64 eps (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) |
#s(approx (* (- -1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps x))) |
#s(approx (* (- -1 eps) x) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) |
#s(approx (- -1 eps) (*.f64 #s(literal -1 binary64) eps)) |
#s(approx (- -1 eps) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) |
#s(approx (- eps 1) (*.f64 eps (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (- (+ (* eps x) x) 1) (*.f64 eps (-.f64 (+.f64 x (/.f64 x eps)) (/.f64 #s(literal 1 binary64) eps)))) |
#s(approx (+ (* eps x) x) (*.f64 eps (+.f64 x (/.f64 x eps)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))))) eps) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.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 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))))))) |
#s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))))) |
#s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (+.f64 (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps))))) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))))) |
#s(approx (exp (* (- eps 1) x)) (exp.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) eps)))))) |
#s(approx (* (- eps 1) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (/.f64 x eps))))) |
#s(approx (exp (* (- -1 eps) x)) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) |
#s(approx (* (- -1 eps) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))) |
#s(approx (- eps 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))))) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (*.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))))) |
#s(approx (- (+ (* eps x) x) 1) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) eps)))))) |
#s(approx (+ (* eps x) x) (*.f64 #s(literal -1 binary64) (*.f64 eps (fma.f64 #s(literal -1 binary64) x (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 45.0ms | x | @ | inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (exp (* (- eps 1) x)) (* (- eps 1) x) (* eps x) eps x (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- 1 x) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* x (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (/ (- x -1) (exp x)) (+ 1/2 1/2)) (/ (- x -1) (exp x)) (- x -1) (exp x) (+ 1/2 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (* (- eps 1) x)) (neg (pow (exp x) (neg (+ eps 1)))))) (- (exp (* (- eps 1) x)) (neg (pow (exp x) (neg (+ eps 1))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (neg (pow (exp x) (neg (+ eps 1)))) (- (+ (* eps x) x) 1) (+ (* eps x) x)) |
| 36.0ms | x | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (exp (* (- eps 1) x)) (* (- eps 1) x) (* eps x) eps x (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- 1 x) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* x (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (/ (- x -1) (exp x)) (+ 1/2 1/2)) (/ (- x -1) (exp x)) (- x -1) (exp x) (+ 1/2 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (* (- eps 1) x)) (neg (pow (exp x) (neg (+ eps 1)))))) (- (exp (* (- eps 1) x)) (neg (pow (exp x) (neg (+ eps 1))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (neg (pow (exp x) (neg (+ eps 1)))) (- (+ (* eps x) x) 1) (+ (* eps x) x)) |
| 3.0ms | eps | @ | -inf | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (exp (* (- eps 1) x)) (* (- eps 1) x) (* eps x) eps x (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- 1 x) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* x (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (/ (- x -1) (exp x)) (+ 1/2 1/2)) (/ (- x -1) (exp x)) (- x -1) (exp x) (+ 1/2 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (* (- eps 1) x)) (neg (pow (exp x) (neg (+ eps 1)))))) (- (exp (* (- eps 1) x)) (neg (pow (exp x) (neg (+ eps 1))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (neg (pow (exp x) (neg (+ eps 1)))) (- (+ (* eps x) x) 1) (+ (* eps x) x)) |
| 3.0ms | eps | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (exp (* (- eps 1) x)) (* (- eps 1) x) (* eps x) eps x (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- 1 x) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* x (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (/ (- x -1) (exp x)) (+ 1/2 1/2)) (/ (- x -1) (exp x)) (- x -1) (exp x) (+ 1/2 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (* (- eps 1) x)) (neg (pow (exp x) (neg (+ eps 1)))))) (- (exp (* (- eps 1) x)) (neg (pow (exp x) (neg (+ eps 1))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (neg (pow (exp x) (neg (+ eps 1)))) (- (+ (* eps x) x) 1) (+ (* eps x) x)) |
| 3.0ms | x | @ | 0 | ((/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (exp (* (- eps 1) x)) (* (- eps 1) x) (* eps x) eps x (exp (* (- -1 eps) x)) (* (- -1 eps) x) (- -1 eps) -1 1/2 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (- 1 x) 1 (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+ 1 (* -1 x)) (* x (- (/ 1 x) 1)) (- (/ 1 x) 1) (/ 1 x) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* (/ (- x -1) (exp x)) (+ 1/2 1/2)) (/ (- x -1) (exp x)) (- x -1) (exp x) (+ 1/2 1/2) (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (* 1/2 (- (exp (* (- eps 1) x)) (neg (pow (exp x) (neg (+ eps 1)))))) (- (exp (* (- eps 1) x)) (neg (pow (exp x) (neg (+ eps 1))))) (exp (* (- eps 1) x)) (* (- eps 1) x) (- eps 1) (neg (pow (exp x) (neg (+ eps 1)))) (- (+ (* eps x) x) 1) (+ (* eps x) x)) |
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) |
#s(approx (* (- eps 1) x) (*.f64 eps x)) |
(*.f64 eps x) |
eps |
x |
(exp.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 -1 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #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) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))) |
#s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))) |
#s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) |
(-.f64 x #s(literal -1 binary64)) |
(exp.f64 x) |
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64)))))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 eps #s(literal 1 binary64)) x) |
(-.f64 eps #s(literal 1 binary64)) |
#s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64))) |
(-.f64 (fma.f64 eps x x) #s(literal 1 binary64)) |
(fma.f64 eps x x) |
| Outputs |
|---|
#s(approx (/ (+ (* (/ (+ 1 eps) eps) (pow (/ (exp eps) (E)) x)) (/ (+ -1 eps) (* eps (pow (* (exp eps) (E)) x)))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64)) |
(+.f64 (exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(exp.f64 #s(approx (- (* x eps) x) (*.f64 eps x))) |
#s(approx (- (* x eps) x) (*.f64 eps x)) |
(*.f64 eps x) |
(*.f64 x eps) |
(*.f64 (neg.f64 x) (neg.f64 eps)) |
(*.f64 (neg.f64 eps) (neg.f64 x)) |
(*.f64 (*.f64 eps x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 eps x)) |
(*.f64 (neg.f64 (*.f64 eps x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 eps x))) |
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 eps))) |
(neg.f64 (neg.f64 (*.f64 eps x))) |
eps |
(*.f64 eps #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) eps) |
(+.f64 eps (*.f64 #s(literal 0 binary64) eps)) |
(+.f64 eps (*.f64 eps #s(literal 0 binary64))) |
(/.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) eps) #s(literal 2 binary64)) |
(fma.f64 eps #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) eps)) |
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal 0 binary64) eps)) |
(fma.f64 #s(literal 1 binary64) eps (*.f64 eps #s(literal 0 binary64))) |
(neg.f64 (neg.f64 eps)) |
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 x)) |
(+.f64 x (*.f64 #s(literal 0 binary64) x)) |
(+.f64 x (*.f64 x #s(literal 0 binary64))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal 0 binary64))) |
(neg.f64 (neg.f64 x)) |
(*.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) |
(*.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))) (exp.f64 (neg.f64 x))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 0 binary64)) |
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(neg.f64 #s(literal -1 binary64)) |
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(sqrt.f64 #s(literal 1 binary64)) |
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#s(approx (* (+ (pow (/ (exp eps) (E)) x) (pow (exp x) (- -1 eps))) 1/2) #s(approx (- 1 x) (-.f64 #s(literal 1 binary64) x))) |
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(*.f64 (-.f64 #s(literal 1 binary64) eps) (neg.f64 x)) |
(*.f64 x (-.f64 eps #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 eps x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (-.f64 x (*.f64 eps x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (-.f64 x (*.f64 eps x))) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps x) x)) |
(*.f64 x (*.f64 #s(literal 1 binary64) (-.f64 eps #s(literal 1 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (-.f64 eps #s(literal 1 binary64)))) |
(+.f64 (neg.f64 x) (*.f64 eps x)) |
(+.f64 (*.f64 eps x) (neg.f64 x)) |
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 eps x) x)) |
(-.f64 (*.f64 eps x) x) |
(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 eps x))) |
(-.f64 (neg.f64 x) (neg.f64 (*.f64 eps x))) |
(fma.f64 (neg.f64 x) (neg.f64 eps) (neg.f64 x)) |
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 eps x)) |
(fma.f64 (neg.f64 eps) (neg.f64 x) (neg.f64 x)) |
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (neg.f64 x)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 eps x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 eps x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 eps x)) |
(fma.f64 eps x (neg.f64 x)) |
(fma.f64 x eps (neg.f64 x)) |
(fma.f64 (neg.f64 (*.f64 eps x)) #s(literal -1 binary64) (neg.f64 x)) |
(fma.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) x (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 eps x)) (neg.f64 x)) |
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 eps)) (neg.f64 x)) |
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) (-.f64 (*.f64 eps x) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64)))) (-.f64 (*.f64 eps x) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 #s(literal 0 binary64) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 eps x) x)) |
(neg.f64 (-.f64 x (*.f64 eps x))) |
(neg.f64 (-.f64 (-.f64 x (*.f64 eps x)) #s(literal 0 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) eps)) |
(+.f64 eps #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) eps) |
(+.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(+.f64 (*.f64 #s(literal -1 binary64) (neg.f64 eps)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 eps))) |
(-.f64 eps #s(literal 1 binary64)) |
(-.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal -1 binary64) (neg.f64 eps)) |
(/.f64 (-.f64 (*.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) eps) |
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) eps) |
(fma.f64 eps #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) eps #s(literal -1 binary64)) |
(fma.f64 (neg.f64 eps) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 eps) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 eps))) |
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (*.f64 (neg.f64 eps) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 eps))) |
(neg.f64 (-.f64 #s(literal 1 binary64) eps)) |
(neg.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 eps #s(literal 1 binary64)))) |
#s(approx (neg (pow (exp x) (- -1 eps))) (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(+.f64 (*.f64 eps x) (-.f64 x #s(literal 1 binary64))) |
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 eps x)) |
(+.f64 (fma.f64 eps x #s(literal -1 binary64)) x) |
(+.f64 (fma.f64 eps x x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (fma.f64 eps x x)) |
(+.f64 x (fma.f64 eps x #s(literal -1 binary64))) |
(-.f64 (fma.f64 eps x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 eps x) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (fma.f64 eps x #s(literal -1 binary64)) (neg.f64 x)) |
(-.f64 (fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(-.f64 x (-.f64 #s(literal 1 binary64) (*.f64 eps x))) |
(-.f64 x (fma.f64 (neg.f64 x) eps #s(literal 1 binary64))) |
(-.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (*.f64 eps x))) |
(-.f64 x (-.f64 (neg.f64 (*.f64 eps x)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (fma.f64 eps x x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 eps) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (fma.f64 eps x #s(literal -1 binary64))) |
(fma.f64 (neg.f64 eps) (neg.f64 x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 eps x)) |
(fma.f64 (-.f64 eps #s(literal -1 binary64)) x #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (*.f64 eps x)) |
(fma.f64 (-.f64 #s(literal -1 binary64) eps) (neg.f64 x) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 eps x x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (fma.f64 eps x #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 eps x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 eps x)) |
(fma.f64 #s(literal 1 binary64) (fma.f64 eps x x) #s(literal -1 binary64)) |
(fma.f64 x (-.f64 eps #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (fma.f64 eps x x)) |
(fma.f64 #s(literal -1 binary64) #s(literal 1 binary64) (fma.f64 eps x x)) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 eps x #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) x (fma.f64 eps x #s(literal -1 binary64))) |
(fma.f64 eps x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x eps (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x (*.f64 eps x)) |
(fma.f64 (neg.f64 (*.f64 eps x)) #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) x (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 eps x)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 eps x)) |
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 eps)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) x (*.f64 eps x)) |
(fma.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 eps x)) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 eps x)) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 eps x)) |
(neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) x #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) eps)) |
(*.f64 (-.f64 eps #s(literal -1 binary64)) x) |
(*.f64 (-.f64 #s(literal -1 binary64) eps) (neg.f64 x)) |
(*.f64 (fma.f64 eps x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 eps x x)) |
(*.f64 x (-.f64 eps #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
(+.f64 (*.f64 eps x) x) |
(+.f64 x (*.f64 eps x)) |
(-.f64 (*.f64 eps x) (neg.f64 x)) |
(-.f64 x (neg.f64 (*.f64 eps x))) |
(fma.f64 eps x x) |
(fma.f64 x eps x) |
(fma.f64 (neg.f64 x) (neg.f64 eps) x) |
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 eps x)) |
(fma.f64 (neg.f64 eps) (neg.f64 x) x) |
(fma.f64 (*.f64 eps x) #s(literal 1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 eps x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 eps x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 eps x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 eps x)) |
(fma.f64 (neg.f64 (*.f64 eps x)) #s(literal -1 binary64) x) |
(fma.f64 (*.f64 (neg.f64 eps) #s(literal -1 binary64)) x x) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 eps x)) x) |
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 eps)) x) |
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x)) |
Compiled 11 946 to 6 617 computations (44.6% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 186 | 6 | 1 192 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 192 | 15 | 1 207 |
| Status | Accuracy | Program |
|---|---|---|
| 52.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) | |
| 52.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (exp.f64 x)) (-.f64 x #s(literal -1 binary64)))) | |
| ✓ | 87.8% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
| 70.4% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) | |
| 52.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) | |
| 40.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 eps (/.f64 #s(literal 1 binary64) eps))) | |
| ✓ | 58.3% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64)))))) |
| 63.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) #s(literal -1 binary64))))) | |
| 51.9% | #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 #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) | |
| 65.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) | |
| 39.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 40.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 40.6% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))) |
| 40.9% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))))) | |
| ✓ | 41.0% | #s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
Compiled 939 to 724 computations (22.9% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #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) #s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x))))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) #s(literal -1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (exp.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 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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 #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) 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 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.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) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) 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 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
#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 (neg.f64 x)) (*.f64 x (exp.f64 (neg.f64 x)))) (fma.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (exp.f64 (neg.f64 x)))))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
4 calls:
| 105.0ms | (/.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)) |
| 28.0ms | eps |
| 12.0ms | x |
| 7.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 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))))) |
| 99.6% | 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)) |
| 99.6% | 1 | x |
| 99.6% | 1 | eps |
Compiled 50 to 40 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #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) #s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x))))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) #s(literal -1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (exp.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 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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 #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) 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 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.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) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) 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 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (-.f64 #s(literal -1 binary64) x) x))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 (exp.f64 #s(approx (* (- eps 1) x) (*.f64 eps x))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x))) #s(literal 1/2 binary64))) |
4 calls:
| 8.0ms | x |
| 8.0ms | eps |
| 6.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 6.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 100.0% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 87.8% | 1 | x |
| 100.0% | 2 | eps |
Compiled 50 to 40 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #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) #s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x))))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) #s(literal -1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (exp.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 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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 #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) 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 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) (-.f64 (*.f64 x (+.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) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (+.f64 (exp.f64 (neg.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) x))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(approx (exp (neg (* x (- 1 eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (+.f64 #s(approx (exp (* (- eps 1) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 (-.f64 #s(literal -1 binary64) 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 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) #s(literal -1 binary64))))) |
4 calls:
| 11.0ms | (/.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)) |
| 8.0ms | eps |
| 8.0ms | x |
| 6.0ms | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 3 | x |
| 82.7% | 2 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 82.7% | 2 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 82.7% | 2 | eps |
Compiled 50 to 40 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #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) #s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x))))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) #s(literal -1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (exp.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 (/.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) #s(approx (* -1 (exp (neg (* x (+ 1 eps))))) #s(literal -1 binary64))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 x))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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 #s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) (+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (/.f64 (exp.f64 (neg.f64 x)) eps)) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) (-.f64 (fma.f64 eps x x) #s(literal 1 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 eps #s(literal 1 binary64)) x)) #s(approx (neg (pow (exp x) (neg (+ eps 1)))) #s(literal -1 binary64))))) |
4 calls:
| 14.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 7.0ms | eps |
| 7.0ms | x |
| 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 |
|---|---|---|
| 75.4% | 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))))) |
| 75.4% | 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)) |
| 76.2% | 2 | eps |
| 76.4% | 2 | x |
Compiled 50 to 40 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #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) #s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (* (exp (neg x)) (+ (+ x 2) x))) (*.f64 x (exp.f64 (neg.f64 x))))) |
(/.f64 (-.f64 #s(approx (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(approx (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))) (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 #s(approx (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) (*.f64 #s(literal 2 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* (+ (exp (* (- eps 1) x)) (exp (* (- -1 eps) x))) 1/2) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
4 calls:
| 3.0ms | x |
| 3.0ms | eps |
| 3.0ms | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 3.0ms | (-.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 |
|---|---|---|
| 65.6% | 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))))) |
| 65.6% | 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)) |
| 65.6% | 1 | eps |
| 65.6% | 1 | x |
Compiled 50 to 40 computations (20% saved)
Total -0.9b remaining (-2.3%)
Threshold costs -0.9b (-2.3%)
| Inputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (-.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x #s(approx (- (/ 1 x) 1) (/.f64 #s(literal 1 binary64) x)))))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) (*.f64 eps (/.f64 #s(literal 1 binary64) eps))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(approx (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) #s(approx (+ 1 (* -1 x)) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2) #s(literal 1 binary64)) |
4 calls:
| 2.0ms | x |
| 2.0ms | 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 |
|---|---|---|
| 41.0% | 1 | (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) |
| 41.0% | 1 | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) |
| 41.0% | 1 | eps |
| 41.0% | 1 | x |
Compiled 50 to 40 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 4.5653045210978846e-38 | 8.103210654367262e-35 |
| 20.0ms | 83× | 1 | valid |
| 4.0ms | 45× | 0 | valid |
| 3.0ms | 30× | 0 | exit |
Compiled 544 to 536 computations (1.5% saved)
ival-exp: 5.0ms (23.4% of total)adjust: 4.0ms (18.7% of total)ival-mult!: 4.0ms (18.7% of total)ival-add!: 3.0ms (14% of total)ival-div!: 3.0ms (14% of total)ival-neg: 2.0ms (9.4% of total)ival-sub!: 2.0ms (9.4% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | -7.025550799880039e-255 | -6.420181483260461e-255 |
| 34.0ms | -4.6323443276275676e+63 | -7.103228175547443e+60 |
| 13.0ms | 81× | 0 | exit |
| 13.0ms | 149× | 0 | valid |
| 3.0ms | 11× | 1 | valid |
Compiled 742 to 734 computations (1.1% saved)
ival-exp: 4.0ms (24.2% of total)ival-mult!: 4.0ms (24.2% of total)ival-div!: 3.0ms (18.1% of total)ival-sub!: 2.0ms (12.1% of total)ival-neg: 2.0ms (12.1% of total)adjust: 1.0ms (6% of total)ival-add!: 1.0ms (6% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -7.025550799880039e-255 | -6.420181483260461e-255 |
Compiled 172 to 164 computations (4.7% saved)
| 1× | fuel |
Compiled 129 to 85 computations (34.1% saved)
(abs eps)
Compiled 694 to 592 computations (14.7% saved)
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