
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0.0% | 0.0% | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0 |
| 0.0% | 0.0% | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 1 |
| 100.0% | 100.0% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 2 |
Compiled 15 to 9 computations (40.0% saved)
| 1.9s | 3 305× | 2 | valid |
| 817.0ms | 4 578× | 1 | valid |
| 520.0ms | 7 772× | 0 | exit |
| 22.0ms | 373× | 0 | valid |
ival-exp: 1.5s (58.3% of total)ival-div!: 561.0ms (21.5% of total)adjust: 301.0ms (11.5% of total)ival-sub!: 81.0ms (3.1% of total)ival-neg: 76.0ms (2.9% of total)ival-add!: 72.0ms (2.8% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 7 |
| 1 | 76 | 7 |
| 2 | 326 | 7 |
| 3 | 3431 | 7 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.5% | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(negabs x)
Compiled 26 to 14 computations (46.2% saved)
| Inputs |
|---|
| Outputs |
|---|
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 119 | 457 |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.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 x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 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 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/60 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (- (exp x) (exp (neg x))) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/60 binary64) (*.f64 #s(literal 1/2520 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
#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 (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) (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) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.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 (+ (exp x) (exp (neg x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.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))) |
#s(approx (+ (exp x) (exp (neg x))) (+.f64 (exp.f64 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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 33 |
| 0 | 13 | 18 |
| 1 | 68 | 18 |
| 2 | 329 | 18 |
| 3 | 2440 | 18 |
| 0 | 4608 | 18 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
(exp.f64 x) |
x |
(exp.f64 (neg.f64 x)) |
(neg.f64 x) |
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (sinh.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x)) |
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x))) |
(*.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (tanh.f64 x) #s(literal 1 binary64)) |
(*.f64 (/.f64 (tanh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (pow.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (tanh.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) |
(*.f64 #s(literal -2 binary64) (*.f64 (sinh.f64 x) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))) |
(*.f64 #s(literal -2 binary64) (/.f64 (tanh.f64 x) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 1 binary64) (tanh.f64 x)) |
(*.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) |
(*.f64 (sinh.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) |
(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (neg.f64 x)) (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (tanh.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(tanh.f64 x) |
(/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (fma.f64 (/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (-.f64 (*.f64 (/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))))) (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))) |
(/.f64 (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (-.f64 (*.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)))) (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 (-.f64 (neg.f64 (exp.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 (-.f64 (fma.f64 (/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (fma.f64 (/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (exp.f64 x) (fma.f64 (/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (fma.f64 (/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (-.f64 (*.f64 (/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (exp.f64 x) (-.f64 (*.f64 (/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (sinh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (/.f64 (exp.f64 x) (cosh.f64 x)) (/.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) (neg.f64 (cosh.f64 x))) |
(/.f64 (-.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) (neg.f64 (cosh.f64 x))) |
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))))) (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))) |
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 (neg.f64 x))))) (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))) |
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)))) (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))) |
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (-.f64 (*.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)))) (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))) |
(/.f64 (-.f64 (/.f64 (exp.f64 x) #s(literal -2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (cosh.f64 x))) |
(/.f64 (-.f64 (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (cosh.f64 x))) |
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))) |
(/.f64 (-.f64 (fma.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x))) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))) (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal -1 binary64)) (neg.f64 (exp.f64 (neg.f64 x)))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 (-.f64 (fma.f64 (/.f64 (cosh.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (sinh.f64 x)) (exp.f64 (neg.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (expm1.f64 (+.f64 x x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x))))) (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x))))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (neg.f64 (cosh.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (tanh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) (neg.f64 (exp.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))) (cosh.f64 x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x #s(literal 0 binary64))) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) (neg.f64 (cosh.f64 x))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (exp.f64 x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (sinh.f64 x))) (neg.f64 (cosh.f64 x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (cosh.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (neg.f64 (cosh.f64 x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (neg.f64 (exp.f64 (neg.f64 x))))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
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(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1 binary64)))) |
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(exp.f64 (/.f64 (+.f64 x x) #s(literal 2 binary64))) |
(exp.f64 x) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
x |
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(/.f64 (fabs.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))) (exp.f64 x)) |
(/.f64 (fabs.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (exp.f64 x)) |
(/.f64 (fma.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) (neg.f64 (exp.f64 x)) #s(literal -1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) (neg.f64 (exp.f64 x))) #s(literal 1 binary64)) (neg.f64 (exp.f64 x))) |
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)))) (*.f64 (sinh.f64 x) (sinh.f64 x))) (-.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x))) (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)))) (-.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 (neg.f64 x)))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) (-.f64 (exp.f64 x) (sinh.f64 x)))) (-.f64 (cosh.f64 x) (-.f64 (exp.f64 x) (sinh.f64 x)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (exp.f64 (+.f64 x x))) (*.f64 #s(literal -2 binary64) (sinh.f64 x))) |
(/.f64 (-.f64 (*.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x))) (*.f64 (sinh.f64 x) (sinh.f64 x))) (+.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 x))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) (-.f64 (sinh.f64 x) (exp.f64 x)))) (+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x)) (-.f64 (*.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x))) (*.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) (-.f64 (exp.f64 x) (sinh.f64 x))) (*.f64 (cosh.f64 x) (-.f64 (exp.f64 x) (sinh.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (cosh.f64 x) (cosh.f64 x))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (*.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (fma.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) (-.f64 (sinh.f64 x) (exp.f64 x)) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (+.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x)))))) |
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))) (neg.f64 (exp.f64 x))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (sinh.f64 x) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 (exp.f64 x) #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 (exp.f64 (neg.f64 x)) (exp.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (exp.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 #s(literal -2 binary64) x)) (*.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x))))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) (exp.f64 x)) |
(/.f64 (+.f64 (pow.f64 (exp.f64 x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (exp.f64 x) (exp.f64 (neg.f64 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 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x))) (exp.f64 (neg.f64 x))) |
(fma.f64 (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (sqrt.f64 (neg.f64 (exp.f64 (neg.f64 x)))) (exp.f64 x)) |
(fma.f64 (sqrt.f64 #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(fma.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x))) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x))) |
(fma.f64 (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (neg.f64 x))) #s(literal 1/2 binary64)) (exp.f64 x)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(fma.f64 (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (exp.f64 x)) |
(fma.f64 (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (neg.f64 (exp.f64 x)) #s(literal -1/2 binary64)) (exp.f64 x)) |
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) (exp.f64 x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))) (sinh.f64 (neg.f64 x)) (exp.f64 x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x) (exp.f64 (neg.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 (neg.f64 x))) (cosh.f64 x) (exp.f64 (neg.f64 x))) |
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (exp.f64 x)) |
(fma.f64 (sqrt.f64 (exp.f64 (neg.f64 x))) (sqrt.f64 (exp.f64 (neg.f64 x))) (exp.f64 x)) |
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (exp.f64 (neg.f64 x))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (tanh.f64 (neg.f64 x))) (cosh.f64 x) (exp.f64 x)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (tanh.f64 x)) (cosh.f64 x) (exp.f64 (neg.f64 x))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (tanh.f64 x)) (cosh.f64 x) (exp.f64 x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 x))) (exp.f64 x)) |
(fma.f64 (*.f64 #s(literal -2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) (exp.f64 x))) |
(fma.f64 #s(literal 1 binary64) (cosh.f64 x) (*.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)) (exp.f64 x)) |
(fma.f64 (sinh.f64 x) #s(literal 1 binary64) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (-.f64 (exp.f64 x) (sinh.f64 x))) |
(fma.f64 (cosh.f64 x) #s(literal 1 binary64) (cosh.f64 x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 x) #s(literal 2 binary64)) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (-.f64 (exp.f64 x) (sinh.f64 x))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (cosh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (-.f64 (exp.f64 x) (sinh.f64 x))) |
(fma.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (cosh.f64 x)) |
(fma.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64) (exp.f64 x)) |
(-.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 (neg.f64 x))) |
(-.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 x)) |
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))) |
(-.f64 (cosh.f64 x) (+.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x))))) |
(-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) (exp.f64 x))) |
(-.f64 (cosh.f64 x) (neg.f64 (cosh.f64 x))) |
(-.f64 (exp.f64 (neg.f64 x)) (neg.f64 (exp.f64 x))) |
(-.f64 (exp.f64 x) (neg.f64 (exp.f64 (neg.f64 x)))) |
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 (cosh.f64 x) (cosh.f64 x)))) |
(fabs.f64 (-.f64 (sinh.f64 (neg.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))))) |
(fabs.f64 (-.f64 (-.f64 (sinh.f64 (neg.f64 x)) (exp.f64 (neg.f64 x))) (cosh.f64 x))) |
(fabs.f64 (-.f64 (+.f64 (sinh.f64 (neg.f64 x)) (neg.f64 (exp.f64 (neg.f64 x)))) (cosh.f64 x))) |
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (cosh.f64 x))) |
(fabs.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x))) |
(fabs.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))) |
(+.f64 (exp.f64 (-.f64 (+.f64 x x) x)) (exp.f64 (neg.f64 x))) |
(+.f64 (*.f64 #s(literal 1 binary64) (cosh.f64 x)) (*.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(+.f64 (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x))) (sinh.f64 x)) |
(+.f64 (+.f64 (cosh.f64 x) (exp.f64 x)) (sinh.f64 (neg.f64 x))) |
(+.f64 (-.f64 (exp.f64 x) (sinh.f64 x)) (cosh.f64 x)) |
(+.f64 (sinh.f64 (neg.f64 x)) (+.f64 (cosh.f64 x) (exp.f64 x))) |
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) (exp.f64 (neg.f64 x)))) |
(+.f64 (cosh.f64 x) (-.f64 (exp.f64 x) (sinh.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))) |
Compiled 16 606 to 2 553 computations (84.6% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 740 | 4 | 744 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 741 | 4 | 745 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (/.f64 (sinh.f64 x) (cosh.f64 x)) |
| ▶ | 100.0% | (tanh.f64 x) |
| ▶ | 97.3% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
| ▶ | 97.2% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
Compiled 45 to 29 computations (35.6% saved)
| Inputs |
|---|
1 |
-1/3 |
2 |
| Outputs |
|---|
#s(literal 1 binary64) |
#s(literal -6004799503160661/18014398509481984 binary64) |
#s(literal 2 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 5 to 5 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 422 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
x |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal -1/3 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(tanh.f64 x) |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
(sinh.f64 x) |
(cosh.f64 x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.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 x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 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 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))) |
#s(approx (+ 1 (* -1/3 (pow x 2))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* -1/3 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* -1/3 (pow x 2)) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (sinh x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
#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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
#s(approx (* x (+ 1 (* -1/3 (pow x 2)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* x (+ 1 (* -1/3 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (+ 1 (* -1/3 (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 1/3 binary64)))) |
#s(approx (tanh x) (/.f64 (-.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))) |
#s(approx (sinh x) (*.f64 #s(literal 1/2 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 (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (* x (+ 1 (* -1/3 (pow x 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
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 | 20 | 77 |
| 0 | 28 | 52 |
| 1 | 139 | 52 |
| 2 | 687 | 48 |
| 0 | 4062 | 45 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
x |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal -1/3 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(tanh.f64 x) |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
(sinh.f64 x) |
(cosh.f64 x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
x |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) x)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) (+.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x))) (+.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)))) (+.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) (*.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) (*.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))))) |
(neg.f64 (-.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) x)) |
(neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x) x)) |
(neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) x)) |
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) x) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) |
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) (neg.f64 x)) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(-.f64 x (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x)) |
(-.f64 x (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x) x) |
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(+.f64 x (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) x)) |
(+.f64 x (neg.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))) |
(+.f64 x (neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) x))) |
(+.f64 x (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)))) |
(+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64)))) |
(neg.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 (*.f64 x x))) #s(literal -1/3 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1/3 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (neg.f64 (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal -1/3 binary64) x) x) |
(*.f64 (*.f64 x x) #s(literal -1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal -1/3 binary64))) |
#s(literal -1/3 binary64) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (*.f64 x x) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal -2 binary64) (cosh.f64 x))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64))))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(*.f64 (/.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) (cosh.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 x) (cosh.f64 x))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))))) (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)))) |
(*.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (exp.f64 (neg.f64 x))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))) |
(*.f64 (*.f64 (sinh.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) (exp.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 (sinh.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) |
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (+.f64 x x))))) |
(*.f64 (expm1.f64 (*.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (tanh.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x)) |
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(sinh.f64 x) |
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(-.f64 (/.f64 (-.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) #s(literal -2 binary64)) (/.f64 (sinh.f64 x) #s(literal -2 binary64))) |
(-.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (cosh.f64 x) #s(literal -2 binary64)) (/.f64 (+.f64 (sinh.f64 x) (exp.f64 x)) #s(literal -2 binary64))) |
(-.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (/.f64 (exp.f64 x) #s(literal -2 binary64))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (-.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (cosh.f64 x) #s(literal -2 binary64)) (/.f64 (-.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) #s(literal -2 binary64))) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (sinh.f64 x) #s(literal 1/2 binary64)) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 2 binary64) (exp.f64 x)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64) (exp.f64 (neg.f64 x))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (exp.f64 (neg.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 (exp.f64 x) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) (sinh.f64 (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))) (sinh.f64 x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) (sinh.f64 x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)) (*.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))))) |
(/.f64 (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 x))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (exp.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (exp.f64 (neg.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (exp.f64 x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) |
(/.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (neg.f64 (cosh.f64 x))) |
(cosh.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(cosh.f64 (neg.f64 (neg.f64 x))) |
(cosh.f64 (neg.f64 x)) |
(cosh.f64 x) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (cosh.f64 x) #s(literal 1/2 binary64) (/.f64 (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))) |
(fma.f64 (cosh.f64 x) #s(literal 1/2 binary64) (/.f64 (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(fma.f64 (cosh.f64 x) #s(literal 1/2 binary64) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))) |
(fma.f64 (exp.f64 x) #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (/.f64 (-.f64 (sinh.f64 x) (exp.f64 x)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (/.f64 (neg.f64 (exp.f64 x)) #s(literal 2 binary64))) |
(-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (/.f64 (exp.f64 x) #s(literal -2 binary64))) |
(-.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)))) |
(-.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(+.f64 (/.f64 (+.f64 (exp.f64 (neg.f64 x)) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 (sinh.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (+.f64 (exp.f64 x) (cosh.f64 x)) #s(literal 2 binary64)) (/.f64 (sinh.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (/.f64 (+.f64 (sinh.f64 (neg.f64 x)) (exp.f64 x)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (/.f64 (+.f64 (sinh.f64 x) (exp.f64 (neg.f64 x))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (cosh.f64 x) #s(literal 1/2 binary64)) (*.f64 (cosh.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64)) (*.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (neg.f64 (/.f64 (exp.f64 (neg.f64 x)) #s(literal -2 binary64)))) |
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))) |
Compiled 8 070 to 1 287 computations (84.1% saved)
3 alts after pruning (1 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 382 | 1 | 383 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 384 | 3 | 387 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (tanh.f64 x) |
| ▶ | 97.3% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
| ✓ | 97.2% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
Compiled 39 to 22 computations (43.6% saved)
| Inputs |
|---|
-1/3 |
| Outputs |
|---|
#s(literal -6004799503160661/18014398509481984 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 3 to 3 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 230 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal -1/3 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.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 x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 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 2/15 binary64) (*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/3 binary64)))))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))) |
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/3 binary64)))) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (/.f64 (-.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))) (+.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (* (* (* x x) x) -1/3) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | x | -inf |
| 1.0ms | x | inf |
| 1.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 40 |
| 0 | 16 | 23 |
| 1 | 97 | 23 |
| 2 | 443 | 23 |
| 3 | 2895 | 23 |
| 0 | 4381 | 23 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal -1/3 binary64) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) x #s(literal 1 binary64)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) (+.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) x)))) |
(neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x)) x)) |
(neg.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) x))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (fabs.f64 x) x)) (fabs.f64 x) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 x) x) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) x) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 x) x) |
(fma.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) #s(literal -1/3 binary64)) x) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x x) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 x) #s(literal -1/3 binary64)) x) (fabs.f64 x) x) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/3 binary64)) (neg.f64 x) x) |
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) #s(literal -1/3 binary64)) x) |
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal -1/3 binary64) x)) x) |
(fma.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x) x) |
(fma.f64 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) #s(literal -1/3 binary64)) x) x) |
(fma.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x) x) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -1/3 binary64) x) x) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1/3 binary64)) x) |
(fma.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) x) x) x) |
(-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) (neg.f64 x)) |
(-.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x)) x) |
(+.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (*.f64 x (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x))))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) |
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x))) |
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)) |
(fabs.f64 (*.f64 (fabs.f64 x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
#s(literal -1/3 binary64) |
Compiled 3 077 to 491 computations (84.0% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 112 | 0 | 112 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 2 | 2 |
| Total | 112 | 3 | 115 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (tanh.f64 x) |
| ✓ | 97.3% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
| ✓ | 97.2% | #s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
Compiled 39 to 22 computations (43.6% saved)
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
| Outputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
| Inputs |
|---|
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) x) |
(tanh.f64 x) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -1/3 binary64) x)) |
#s(approx (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
(/.f64 (sinh.f64 x) (cosh.f64 x)) |
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| Outputs |
|---|
(tanh.f64 x) |
4 calls:
| 11.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 3.0ms | x |
| 2.0ms | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 97.2% | 1 | x |
| 100.0% | 1 | (/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) |
| 100.0% | 1 | x |
Compiled 108 to 46 computations (57.4% saved)
| 1× | done |
Compiled 17 to 9 computations (47.1% saved)
Compiled 64 to 36 computations (43.8% saved)
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