
Time bar (total: 1.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 75.2% | 24.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 75.2% | 24.8% | 0% | 0% | 0% | 1 |
| 50% | 37.6% | 37.6% | 24.8% | 0% | 0% | 0% | 2 |
| 75% | 56.4% | 18.8% | 24.8% | 0% | 0% | 0% | 3 |
| 87.5% | 65.8% | 9.4% | 24.8% | 0% | 0% | 0% | 4 |
| 93.8% | 70.5% | 4.7% | 24.8% | 0% | 0% | 0% | 5 |
| 96.9% | 72.8% | 2.3% | 24.8% | 0% | 0% | 0% | 6 |
| 98.4% | 74% | 1.2% | 24.8% | 0% | 0% | 0% | 7 |
| 99.2% | 74.6% | 0.6% | 24.8% | 0% | 0% | 0% | 8 |
| 99.6% | 74.9% | 0.3% | 24.8% | 0% | 0% | 0% | 9 |
| 99.8% | 75% | 0.1% | 24.8% | 0% | 0% | 0% | 10 |
| 99.9% | 75.1% | 0.1% | 24.8% | 0% | 0% | 0% | 11 |
| 100% | 75.1% | 0% | 24.8% | 0% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 372.0ms | 8 256× | 0 | valid |
ival-exp: 82.0ms (44.5% of total)ival-expm1: 54.0ms (29.3% of total)ival-div!: 48.0ms (26.1% of total)adjust: 1.0ms (0.5% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 26 |
| 1 | 43 | 25 |
| 2 | 175 | 25 |
| 3 | 1003 | 19 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 39.7% | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
Compiled 14 to 10 computations (28.6% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 166 |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)) |
#s(approx (exp x) #s(literal 1 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 x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (- (exp x) 1) (*.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 x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) x)))))))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (exp x) (exp.f64 x)) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | x | -inf |
| 1.0ms | x | inf |
| 0.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 15 |
| 0 | 8 | 15 |
| 1 | 43 | 15 |
| 0 | 366 | 11 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(exp.f64 x) |
x |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x)) |
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x))))) |
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))) (exp.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (expm1.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (expm1.f64 (neg.f64 x))))) |
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x))) |
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x)))) |
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.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 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (cosh.f64 x) (sinh.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 (exp.f64 (+.f64 x x))) |
(-.f64 (cosh.f64 x) (neg.f64 (sinh.f64 x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 (+.f64 x #s(literal 0 binary64))) |
(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 #s(literal -1 binary64) (exp.f64 x))) (exp.f64 x)) |
(*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (exp.f64 x)) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
(*.f64 (exp.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
(/.f64 (expm1.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(neg.f64 (neg.f64 (expm1.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (cosh.f64 x) (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (sinh.f64 x))) |
(fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(expm1.f64 (+.f64 x #s(literal 0 binary64))) |
(expm1.f64 x) |
(-.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 x) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x))))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (cosh.f64 x)) (*.f64 (neg.f64 (expm1.f64 (neg.f64 x))) (sinh.f64 x))) |
(+.f64 (*.f64 (cosh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))) (*.f64 (sinh.f64 x) (neg.f64 (expm1.f64 (neg.f64 x))))) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Compiled 981 to 247 computations (74.8% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 68 | 3 | 71 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 69 | 3 | 72 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
| ▶ | 64.9% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
| ▶ | 65.2% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
Compiled 32 to 25 computations (21.9% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 301 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(neg.f64 (expm1.f64 (neg.f64 x))) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)) |
#s(approx x x) |
#s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (neg (- (exp (neg x)) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (neg (- (exp (neg x)) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (neg (- (exp (neg x)) 1)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/24 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64)) |
#s(approx (/ (+ 1 (* 1/2 x)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 1 (neg (- (exp (neg x)) 1))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))) |
#s(approx (neg (- (exp (neg x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))) |
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x))) |
#s(approx (/ 1 (neg (- (exp (neg x)) 1))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (neg (- (exp (neg x)) 1)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (exp (neg x)) 1) (expm1.f64 (*.f64 #s(literal -1 binary64) x))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 2.0ms | x | inf |
| 2.0ms | x | -inf |
| 1.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 62 |
| 0 | 25 | 61 |
| 1 | 123 | 53 |
| 0 | 1077 | 52 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(neg.f64 (expm1.f64 (neg.f64 x))) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
x |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(pow.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) |
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(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (neg.f64 (expm1.f64 x)) (cosh.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (cosh.f64 x) (neg.f64 (expm1.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))) |
(+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(neg.f64 x) |
Compiled 3 123 to 685 computations (78.1% saved)
4 alts after pruning (3 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 191 | 3 | 194 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 0 | 0 |
| Total | 193 | 4 | 197 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ✓ | 65.2% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 64.9% | #s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
| ▶ | 3.1% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))) |
Compiled 46 to 35 computations (23.9% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 188 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
#s(literal -1 binary64) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)) |
#s(approx x x) |
#s(approx (- (exp (neg x)) 1) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) x))) #s(literal 1 binary64)))) |
#s(approx (- (exp (neg x)) 1) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) x) #s(literal 1/6 binary64))))) #s(literal 1 binary64)))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64)) |
#s(approx (/ (+ 1 (* 1/2 x)) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))) |
#s(approx (- (exp (neg x)) 1) (expm1.f64 (neg.f64 x))) |
#s(approx (/ -1 (- (exp (neg x)) 1)) (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 #s(literal -1 binary64) x)))) |
#s(approx (- (exp (neg x)) 1) (expm1.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 | 18 | 61 |
| 0 | 24 | 57 |
| 1 | 140 | 53 |
| 0 | 1351 | 53 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
#s(literal -1 binary64) |
(expm1.f64 (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)) x) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) (*.f64 x x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (neg.f64 x))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)) |
(neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) x) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
x |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (+.f64 x x))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (exp.f64 (+.f64 x x)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 x)) |
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 (neg.f64 x)))) (exp.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 x))) (expm1.f64 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (exp.f64 x)) (neg.f64 (expm1.f64 x))) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(/.f64 (exp.f64 x) (expm1.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x))) |
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x)))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(+.f64 (/.f64 (cosh.f64 x) (expm1.f64 x)) (/.f64 (sinh.f64 x) (expm1.f64 x))) |
#s(literal -1 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (expm1.f64 x)) (exp.f64 (neg.f64 x))) |
(*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) |
(*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (expm1.f64 x)) (exp.f64 x)) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 (neg.f64 x)))) |
(neg.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 (expm1.f64 x)) (cosh.f64 x) (*.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) |
(fma.f64 (cosh.f64 x) (neg.f64 (expm1.f64 x)) (*.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(expm1.f64 (+.f64 (neg.f64 x) #s(literal 0 binary64))) |
(expm1.f64 (-.f64 #s(literal 0 binary64) x)) |
(expm1.f64 (neg.f64 x)) |
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))))) |
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal -1 binary64))) |
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(+.f64 (*.f64 (neg.f64 (expm1.f64 x)) (cosh.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) (sinh.f64 (neg.f64 x)))) |
(+.f64 (*.f64 (cosh.f64 x) (neg.f64 (expm1.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (expm1.f64 x)))) |
(+.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) #s(literal -1 binary64))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 x))) |
(neg.f64 x) |
Compiled 2 369 to 490 computations (79.3% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 143 | 1 | 144 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 1 | 1 |
| Total | 144 | 4 | 148 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ✓ | 65.2% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 64.9% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
| ✓ | 3.1% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))) |
Compiled 46 to 35 computations (23.9% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 94 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/12 binary64) x)))) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64)))))))) x)) |
#s(approx x x) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (exp.f64 x) (expm1.f64 x))) |
#s(approx (- (/ 1 x) -1/2) #s(literal 1/2 binary64)) |
#s(approx (- (/ 1 x) -1/2) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | x | -inf |
| 0.0ms | x | inf |
| 0.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 24 |
| 0 | 11 | 24 |
| 1 | 74 | 24 |
| 0 | 661 | 22 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))))) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 1/8 binary64)))) |
(neg.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/8 binary64) (+.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
x |
#s(literal -1/2 binary64) |
Compiled 824 to 172 computations (79.1% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 43 | 0 | 43 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 43 | 4 | 47 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
| ✓ | 65.2% | #s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 64.9% | #s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
| ✓ | 3.1% | #s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))) |
Compiled 46 to 35 computations (23.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))) |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
| Outputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
| Inputs |
|---|
#s(approx (/ (exp x) (- (exp x) 1)) #s(approx (/ (+ 1 (* 1/2 x)) x) #s(literal 1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (exp x) (- (exp x) 1)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
#s(approx (/ (exp x) (- (exp x) 1)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (/ (exp x) (- (exp x) 1)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (neg.f64 x)))) |
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 #s(literal -1 binary64) (expm1.f64 (neg.f64 x))) |
9 calls:
| 6.0ms | (exp.f64 x) |
| 3.0ms | x |
| 2.0ms | x |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 2.0ms | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.1% | 1 | x |
| 3.1% | 1 | (exp.f64 x) |
| 3.1% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 65.2% | 1 | (exp.f64 x) |
| 65.2% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 65.2% | 1 | x |
| 100.0% | 1 | (exp.f64 x) |
| 100.0% | 1 | (/.f64 (exp.f64 x) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 100.0% | 1 | x |
Compiled 117 to 57 computations (51.3% saved)
| 1× | done |
Compiled 33 to 19 computations (42.4% saved)
Compiled 46 to 30 computations (34.8% saved)
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