
Time bar (total: 1.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 2 |
Compiled 10 to 9 computations (10% saved)
| 499.0ms | 8 256× | 0 | valid |
ival-exp: 209.0ms (64.5% of total)ival-div!: 44.0ms (13.6% of total)ival-add!: 37.0ms (11.4% of total)ival-neg: 33.0ms (10.2% of total)adjust: 2.0ms (0.6% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 52 | 12 |
| 2 | 180 | 12 |
| 3 | 1390 | 12 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(abs x)
Compiled 16 to 14 computations (12.5% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 306 |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
#s(literal 2 binary64) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (+ (exp x) (exp (neg x))) #s(literal 2 binary64)) |
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (exp x) (exp (neg x))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (exp x) (+.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 x x) |
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#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 (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | x | -inf |
| 1.0ms | x | inf |
| 1.0ms | x | 0 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 12 | 19 |
| 1 | 52 | 17 |
| 0 | 467 | 17 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
#s(literal 2 binary64) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(pow.f64 (cosh.f64 x) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
#s(literal 2 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x))) (exp.f64 x)) |
(*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (exp.f64 x)) |
(*.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(*.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))) |
(*.f64 (cosh.f64 x) #s(literal 2 binary64)) |
(*.f64 (exp.f64 x) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))) (-.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
(/.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x)))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (-.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (expm1.f64 (+.f64 x x)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(neg.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x) (exp.f64 x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) (exp.f64 (neg.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) (exp.f64 x)) |
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x))) |
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) |
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (cosh.f64 x) (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (sinh.f64 x))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(fma.f64 (cosh.f64 x) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (*.f64 (sinh.f64 x) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x))) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) |
(-.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 x)) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (/.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) |
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))) |
(-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))) |
(+.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) (sinh.f64 x)) |
(+.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) (sinh.f64 (neg.f64 x))) |
(+.f64 (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (cosh.f64 x)) (*.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (sinh.f64 x))) |
(+.f64 (*.f64 (cosh.f64 x) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (*.f64 (sinh.f64 x) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x))))) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x))) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))) |
(+.f64 (cosh.f64 x) (cosh.f64 x)) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 x) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 x)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) |
(fma.f64 (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) (/.f64 (exp.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (sinh.f64 (neg.f64 x))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))) |
(sqrt.f64 (exp.f64 (-.f64 (neg.f64 x) x))) |
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x)))) |
(-.f64 (cosh.f64 x) (sinh.f64 x)) |
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x)))) |
(fabs.f64 (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(neg.f64 x) |
Compiled 1 824 to 440 computations (75.9% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 119 | 7 | 126 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 120 | 7 | 127 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (exp.f64 x)) |
| ▶ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 47.2% | (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) | |
| 47.3% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) | |
| ▶ | 47.1% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
| ▶ | 47.4% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
Compiled 204 to 160 computations (21.6% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 717 |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(-.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(exp.f64 x) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(cosh.f64 x) |
#s(approx (/ 2 (+ (exp 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)) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
| Outputs |
|---|
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) #s(literal 1 binary64)) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) |
#s(approx (+ (exp (- (neg x) x)) 1) #s(literal 2 binary64)) |
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) |
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))) |
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) |
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))) |
#s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx x 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 (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (cosh x) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 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 x) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (exp x) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (exp x) (/ 1 (exp x))) (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/360 binary64) (pow.f64 x #s(literal 2 binary64))))))))) |
#s(approx (/ 1 (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#s(approx (/ 1 (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) |
#s(approx (/ 1 (exp 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 (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (exp (- (neg x) x)) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
#s(approx (/ 1 (cosh x)) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))) |
#s(approx (cosh x) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 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 (+ (exp x) (/ 1 (exp x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
#s(approx (/ 1 (exp x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(approx (exp (- (neg x) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 6.0ms | x | inf |
| 4.0ms | x | -inf |
| 2.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 112 |
| 0 | 41 | 87 |
| 0 | 180 | 85 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(-.f64 (neg.f64 x) x) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(exp.f64 x) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(cosh.f64 x) |
#s(approx (/ 2 (+ (exp 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)) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(pow.f64 (cosh.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) |
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
#s(literal 2 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (exp.f64 (-.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (expm1.f64 (-.f64 (neg.f64 x) x))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) |
(+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(fabs.f64 (exp.f64 (-.f64 (neg.f64 x) x))) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(+.f64 (cosh.f64 (-.f64 (neg.f64 x) x)) (sinh.f64 (-.f64 (neg.f64 x) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 x))) (neg.f64 x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 x x)) (+.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 x x (*.f64 (neg.f64 x) x)))) |
(neg.f64 (-.f64 x (neg.f64 x))) |
(-.f64 (neg.f64 x) x) |
(+.f64 (neg.f64 x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(literal 1 binary64) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 x) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(pow.f64 (cosh.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) |
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 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)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(pow.f64 (cosh.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (cosh.f64 x))) |
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(*.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) (exp.f64 x)) |
(*.f64 #s(literal 2 binary64) (cosh.f64 x)) |
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) #s(literal 1 binary64)) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (exp.f64 x) (exp.f64 x) (-.f64 (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))) |
(+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(-.f64 (cosh.f64 x) (sinh.f64 x)) |
(fabs.f64 (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
Compiled 1 984 to 505 computations (74.5% saved)
7 alts after pruning (4 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 114 | 4 | 118 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 118 | 7 | 125 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) (exp.f64 x)) |
| ▶ | 100.0% | (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) (exp.f64 x)) |
| ✓ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ▶ | 47.3% | #s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
| ▶ | 47.1% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| ✓ | 47.4% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
Compiled 99 to 78 computations (21.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 203 | 1168 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 5/24 binary64) |
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal -61/720 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) |
(+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) |
(exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(exp.f64 x) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) #s(literal -1/2 binary64)) |
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 5/24 (* -61/720 (pow x 2))) #s(literal 5/24 binary64)) |
#s(approx (+ 5/24 (* -61/720 (pow x 2))) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* -61/720 (pow x 2)) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) |
#s(approx (+ (exp (- (neg x) x)) 1) #s(literal 2 binary64)) |
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) |
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))) |
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) |
#s(approx (exp (- (neg x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))) |
#s(approx (- (neg x) x) (*.f64 #s(literal -2 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 (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#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 (neg x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
#s(approx (+ (* (* x x) -1/2) 1) (*.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 (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64)))) |
#s(approx (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64)))) |
#s(approx (- (* (pow x 2) (+ 5/24 (* -61/720 (pow x 2)))) 1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ 5/24 (* -61/720 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64)))) |
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))))) |
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (exp (- (neg x) x)) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (/ (/ 2 (+ (/ (exp (neg x)) (exp x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))))) |
#s(approx (/ 2 (+ (/ (exp (neg x)) (exp x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
#s(approx (+ (/ (exp (neg x)) (exp x)) 1) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)))) |
#s(approx (/ (exp (neg x)) (exp x)) (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
#s(approx (/ 2 (+ (exp (- (neg x) x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))))) |
#s(approx (+ (exp (- (neg x) x)) 1) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(approx (exp (- (neg x) x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) |
#s(approx (/ (/ 2 (+ (/ (exp (neg x)) (exp x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 x)))))) |
#s(approx (/ 2 (+ (/ (exp (neg x)) (exp x)) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 x))))) |
#s(approx (+ (/ (exp (neg x)) (exp x)) 1) (+.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 x)))) |
#s(approx (/ (exp (neg x)) (exp x)) (/.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 x))) |
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 54.0ms | x | inf |
| 8.0ms | x | -inf |
| 2.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 243 |
| 0 | 65 | 225 |
| 0 | 311 | 213 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
x |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 5/24 binary64) |
(*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal -61/720 binary64) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) |
(+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) |
(exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(exp.f64 x) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(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)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x))) #s(literal 1/4 binary64)) (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))))) |
(neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)))) |
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64))) |
(fma.f64 #s(literal 5/24 binary64) (*.f64 x x) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 5/24 binary64) (*.f64 (*.f64 x x) (*.f64 #s(literal -61/720 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 (*.f64 x x) (*.f64 #s(literal -61/720 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal 5/24 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) #s(literal 5/24 binary64))) #s(literal 5/24 binary64)) |
(/.f64 (-.f64 #s(literal 25/576 binary64) (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) (*.f64 #s(literal -61/720 binary64) (*.f64 x x)))) (-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 #s(literal 125/13824 binary64) (pow.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 25/576 binary64) (-.f64 (*.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) (*.f64 #s(literal -61/720 binary64) (*.f64 x x))) (*.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (*.f64 x x)))))) |
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) |
(-.f64 #s(literal 5/24 binary64) (*.f64 #s(literal 61/720 binary64) (*.f64 x x))) |
(-.f64 #s(literal 5/24 binary64) (neg.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 #s(literal -61/720 binary64) (*.f64 x x)) #s(literal 5/24 binary64)) |
(+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (*.f64 x x))) |
#s(literal 5/24 binary64) |
(*.f64 #s(literal -61/720 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -61/720 binary64)) |
#s(literal -61/720 binary64) |
#s(literal 1/2 binary64) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x))) |
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) (exp.f64 x))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))))) (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)))) #s(literal 1 binary64)) (expm1.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) |
(+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)))) |
(fabs.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)))) |
(exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (cosh.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) (sinh.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)))) |
#s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 x) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 (neg.f64 x))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) (neg.f64 (exp.f64 x))) |
(/.f64 (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 #s(literal 2 binary64) (-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x)))) (exp.f64 (-.f64 (neg.f64 x) x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (-.f64 (neg.f64 x) x))) #s(literal 1 binary64)) (expm1.f64 (-.f64 (neg.f64 x) x))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (-.f64 (neg.f64 x) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))))) |
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(-.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal -1 binary64)) |
(+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 x) x))) |
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (neg.f64 (exp.f64 x))) |
(/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(fabs.f64 (exp.f64 (-.f64 (neg.f64 x) x))) |
(exp.f64 (-.f64 (neg.f64 x) x)) |
(+.f64 (cosh.f64 (-.f64 (neg.f64 x) x)) (sinh.f64 (-.f64 (neg.f64 x) x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(-.f64 (cosh.f64 x) (sinh.f64 x)) |
(fabs.f64 (exp.f64 (neg.f64 x))) |
(exp.f64 (neg.f64 x)) |
(+.f64 (cosh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) |
(neg.f64 x) |
Compiled 4 387 to 800 computations (81.8% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 166 | 2 | 168 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 3 | 3 |
| Total | 169 | 6 | 175 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x)) |
| ✓ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| ▶ | 47.3% | #s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | 47.1% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| ✓ | 47.4% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
Compiled 80 to 60 computations (25% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 812 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) |
#s(literal -61/720 binary64) |
(*.f64 x x) |
x |
#s(literal 5/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(exp.f64 x) |
| Outputs |
|---|
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) #s(literal 1 binary64)) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) #s(literal -1/2 binary64)) |
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (-.f64 (*.f64 #s(literal 5/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
#s(approx (+ (* -61/720 (* x x)) 5/24) #s(literal 5/24 binary64)) |
#s(approx (+ (* -61/720 (* x x)) 5/24) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx x x) |
#s(approx (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64))))))) |
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) #s(literal 2 binary64)) |
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) |
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -4/3 binary64) x))) #s(literal 2 binary64))))) |
#s(approx (exp (neg x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#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 (neg x) (*.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 (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x))))))) |
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 6 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64)))) |
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ (* (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (* x x)) 1) (*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (fma.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64)))) |
#s(approx (+ (* (+ (* -61/720 (* x x)) 5/24) (* x x)) -1/2) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 61/720 binary64) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ (* -61/720 (* x x)) 5/24) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* -61/720 (* x x)) 5/24) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/24 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 61/720 binary64)))) |
#s(approx (/ (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))))) |
#s(approx (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))))) |
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64)))) |
#s(approx (exp (neg x)) (exp.f64 (neg.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x)))))) |
#s(approx (/ (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (exp x)) (/.f64 #s(literal 2 binary64) (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))))) |
#s(approx (/ 2 (+ (* (exp (neg x)) (exp (neg x))) 1)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64))))) |
#s(approx (+ (* (exp (neg x)) (exp (neg x))) 1) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)))) |
#s(approx (exp (neg x)) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 6.0ms | x | -inf |
| 3.0ms | x | inf |
| 1.0ms | x | 0 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 109 |
| 0 | 38 | 106 |
| 1 | 217 | 88 |
| 0 | 1810 | 88 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) |
#s(literal -61/720 binary64) |
(*.f64 x x) |
x |
#s(literal 5/24 binary64) |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) |
#s(literal 2 binary64) |
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(exp.f64 x) |
| Outputs |
|---|
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)) x) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x))) |
(fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (fabs.f64 x)) (fabs.f64 x) #s(literal 1 binary64)) |
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x |
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#s(literal 2 binary64) |
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(fma.f64 (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 (neg.f64 x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (exp.f64 (+.f64 x x)))) |
(-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 x x))) (sinh.f64 (+.f64 x x))) |
(+.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (cosh.f64 (+.f64 x x))) (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (sinh.f64 (+.f64 x x)))) |
(+.f64 (*.f64 (cosh.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 (sinh.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 3 binary64))) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (expm1.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) (expm1.f64 (+.f64 x x))))) |
(+.f64 (cosh.f64 (+.f64 x x)) (+.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 (+.f64 x x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) |
(+.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x)) |
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(pow.f64 (exp.f64 x) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (exp.f64 x)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 x)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 x)) |
(neg.f64 (neg.f64 (exp.f64 (neg.f64 x)))) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x)))) |
(-.f64 (cosh.f64 x) (sinh.f64 x)) |
(fabs.f64 (neg.f64 (exp.f64 (neg.f64 x)))) |
(fabs.f64 (exp.f64 (neg.f64 x))) |
(exp.f64 (-.f64 #s(literal 0 binary64) x)) |
(exp.f64 (neg.f64 x)) |
(+.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(neg.f64 x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 x))))) |
(sqrt.f64 (*.f64 (exp.f64 x) (exp.f64 x))) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 x) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
Compiled 8 974 to 1 259 computations (86% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 2 | 300 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 4 | 4 |
| Total | 299 | 7 | 306 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x)) |
| ✓ | 100.0% | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
| ✓ | 100.0% | (/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| 47.3% | #s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 #s(approx (+ (* -61/720 (* x x)) 5/24) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) | |
| 47.3% | #s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) | |
| ✓ | 47.1% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| ✓ | 47.4% | #s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
Compiled 112 to 84 computations (25% saved)
Total -0.4b remaining (-1.3%)
Threshold costs -0.4b (-1.3%)
| Inputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
| Inputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 #s(approx (+ (* -61/720 (* x x)) 5/24) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
| Inputs |
|---|
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) #s(literal 1 binary64)) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (cosh.f64 x)) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 #s(approx (+ (* -61/720 (* x x)) 5/24) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -61/720 binary64) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x) x #s(literal 1 binary64))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (fma.f64 (fma.f64 (fma.f64 #s(literal -61/720 binary64) (*.f64 x x) #s(literal 5/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (-.f64 (neg.f64 x) x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (exp.f64 x)) |
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 1 binary64))) (exp.f64 x)) |
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 (expm1.f64 (-.f64 (neg.f64 x) x)) (exp.f64 (+.f64 x x)))) |
#s(approx (/ 2 (+ (exp x) (exp (neg x)))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
#s(approx (/ (/ 2 (+ (exp (- (neg x) x)) 1)) (exp x)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 5/24 binary64) (*.f64 #s(literal -61/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 #s(approx (- (neg x) x) (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64))) (exp.f64 x)) |
9 calls:
| 17.0ms | x |
| 5.0ms | x |
| 3.0ms | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 3.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 2.0ms | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.4% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 47.4% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 47.4% | 1 | x |
| 100.0% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 100.0% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 100.0% | 1 | x |
| 100.0% | 1 | (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| 100.0% | 1 | (/.f64 #s(literal 2 binary64) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 100.0% | 1 | x |
Compiled 334 to 133 computations (60.2% saved)
| 1× | fuel |
Compiled 30 to 21 computations (30% saved)
(abs x)
Compiled 98 to 80 computations (18.4% saved)
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