
Time bar (total: 2.2s)
| 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 |
| 50.0% | 50.0% | 50.0% | 0.0% | 0.0% | 0.0% | 0.0% | 2 |
| 75.0% | 75.0% | 25.0% | 0.0% | 0.0% | 0.0% | 0.0% | 3 |
| 87.5% | 87.5% | 12.5% | 0.0% | 0.0% | 0.0% | 0.0% | 4 |
| 93.8% | 93.7% | 6.2% | 0.0% | 0.0% | 0.0% | 0.0% | 5 |
| 96.9% | 96.8% | 3.1% | 0.0% | 0.0% | 0.0% | 0.0% | 6 |
| 98.4% | 98.4% | 1.6% | 0.0% | 0.0% | 0.0% | 0.0% | 7 |
| 99.2% | 99.2% | 0.8% | 0.0% | 0.0% | 0.0% | 0.0% | 8 |
| 99.6% | 99.6% | 0.4% | 0.0% | 0.0% | 0.0% | 0.0% | 9 |
| 99.8% | 99.8% | 0.2% | 0.0% | 0.0% | 0.0% | 0.0% | 10 |
| 99.9% | 99.9% | 0.1% | 0.0% | 0.0% | 0.0% | 0.0% | 11 |
| 100.0% | 99.9% | 0.0% | 0.0% | 0.0% | 0.0% | 0.0% | 12 |
Compiled 14 to 9 computations (35.7% saved)
| 652.0ms | 8 256× | 0 | valid |
| 138.0ms | 2 652× | 0 | exit |
ival-mult!: 320.0ms (55.2% of total)ival-expm1: 134.0ms (23.1% of total)ival-sqrt: 72.0ms (12.4% of total)ival-div!: 52.0ms (9.0% of total)adjust: 2.0ms (0.3% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 41 |
| 1 | 82 | 39 |
| 2 | 337 | 39 |
| 3 | 2270 | 39 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 36.2% | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
Compiled 24 to 20 computations (16.7% saved)
| Inputs |
|---|
2 |
1 |
| Outputs |
|---|
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 4 to 4 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 430 |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
| Outputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 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 (* 2 x)) 1) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp (* 2 x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (exp (* 2 x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))) |
#s(approx (- (exp (* 2 x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 binary64) x)))))))) |
#s(approx (exp (* 2 x)) #s(literal 1 binary64)) |
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x))) |
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))))) |
#s(approx (exp (* 2 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 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) (+.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 (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) |
#s(approx (- (exp (* 2 x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (exp (* 2 x)) (exp.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (exp x) (exp.f64 x)) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 2.0ms | x | -inf |
| 1.0ms | x | inf |
| 1.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 45 |
| 0 | 17 | 45 |
| 1 | 85 | 45 |
| 2 | 351 | 45 |
| 3 | 1904 | 45 |
| 0 | 5449 | 33 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
(-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) x)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
#s(literal 1 binary64) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(exp.f64 x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(*.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (pow.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x))))) |
(*.f64 (sqrt.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (sqrt.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) |
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(pow.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x)) (expm1.f64 x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (expm1.f64 x))) #s(literal -1 binary64))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (exp.f64 (+.f64 x x))) (expm1.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x))))) (sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (fma.f64 (expm1.f64 x) (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) (expm1.f64 x)))) (fabs.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (fma.f64 (neg.f64 (exp.f64 (+.f64 x x))) (expm1.f64 x) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (fma.f64 (expm1.f64 x) (exp.f64 (+.f64 x x)) (*.f64 (expm1.f64 x) #s(literal -1 binary64)))) (fabs.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64)))) (fabs.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))) (*.f64 (expm1.f64 x) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x))))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x)))) (sqrt.f64 (neg.f64 (*.f64 (expm1.f64 x) (expm1.f64 x))))) |
(/.f64 (sqrt.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x))) (fabs.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) |
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (fabs.f64 (neg.f64 (expm1.f64 (+.f64 x x))))) |
(*.f64 (fabs.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (fabs.f64 (expm1.f64 (+.f64 x x)))) |
(*.f64 (fabs.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (fabs.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (fabs.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))))) |
(*.f64 (fabs.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (fabs.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(*.f64 (fabs.f64 (expm1.f64 (+.f64 x x))) (fabs.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 0 binary64)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (pow.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 (expm1.f64 x) (exp.f64 (+.f64 x x))) (expm1.f64 x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
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(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (neg.f64 (expm1.f64 x))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) |
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(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) |
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) |
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) |
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(fabs.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) |
(fabs.f64 (*.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))))) |
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x)))) |
(fabs.f64 (/.f64 (neg.f64 (expm1.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))) (expm1.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(fabs.f64 (/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (expm1.f64 x))) |
(fabs.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 (+.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) (-.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (exp.f64 (fma.f64 x #s(literal 2 binary64) x))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) (exp.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) (*.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 (exp.f64 x) #s(literal -1 binary64))) |
(/.f64 (+.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) x)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (exp.f64 (+.f64 x x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (exp.f64 (fma.f64 x #s(literal 2 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 x x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (expm1.f64 x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (+.f64 (cosh.f64 x) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (-.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (*.f64 (expm1.f64 x) #s(literal 0 binary64))) |
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (expm1.f64 x))) |
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 0 binary64))) #s(literal -1 binary64)) |
(fma.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x))) |
(expm1.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) |
(expm1.f64 (neg.f64 (neg.f64 x))) |
(expm1.f64 x) |
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 (neg.f64 x))) |
(-.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x))) |
(-.f64 (sinh.f64 x) (-.f64 #s(literal 1 binary64) (cosh.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 (cosh.f64 x) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) |
(-.f64 (expm1.f64 x) #s(literal 0 binary64)) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x)) |
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (sinh.f64 x) (+.f64 (cosh.f64 x) #s(literal -1 binary64))) |
(+.f64 (sinh.f64 x) (-.f64 (cosh.f64 x) #s(literal 1 binary64))) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64))) |
(+.f64 (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x))) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 x))) (sqrt.f64 (neg.f64 (exp.f64 x)))) |
(*.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))) |
(*.f64 (pow.f64 (exp.f64 x) #s(literal 1/2 binary64)) (pow.f64 (exp.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) (sinh.f64 x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (neg.f64 x)) (cosh.f64 x))) (cosh.f64 x)) |
(*.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x))) (cosh.f64 x)) |
(*.f64 (exp.f64 x) (exp.f64 (*.f64 x #s(literal 0 binary64)))) |
(*.f64 (exp.f64 x) (exp.f64 (*.f64 #s(literal 0 binary64) x))) |
(pow.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (E.f64) x) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) #s(literal -2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal -4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 4 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64)))) (sqrt.f64 #s(literal 4 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))))) (sqrt.f64 #s(literal 2 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x)))))) (sqrt.f64 #s(literal 4 binary64))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))))) (sqrt.f64 #s(literal 4 binary64))) |
(/.f64 (fma.f64 (sinh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (cosh.f64 x) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 (sinh.f64 x) (cosh.f64 x))) |
(/.f64 (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (exp.f64 (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 x) #s(literal 3 binary64)) (pow.f64 (cosh.f64 x) #s(literal 3 binary64))) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (+.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (*.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x)))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 4 binary64)) |
(/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 x) #s(literal 3 binary64)) (pow.f64 (sinh.f64 x) #s(literal 3 binary64))) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64) (cosh.f64 x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (neg.f64 (sinh.f64 (neg.f64 x)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.f64 x)) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))) |
(-.f64 (cosh.f64 x) (sinh.f64 (*.f64 x #s(literal -1 binary64)))) |
(-.f64 (cosh.f64 x) (sinh.f64 (*.f64 #s(literal -1 binary64) x))) |
(-.f64 (cosh.f64 x) (sinh.f64 (neg.f64 x))) |
(fabs.f64 (-.f64 (neg.f64 (cosh.f64 x)) (sinh.f64 x))) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(fabs.f64 (exp.f64 x)) |
(exp.f64 (*.f64 (+.f64 x x) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 x x))) #s(literal 1/2 binary64))) |
(exp.f64 (neg.f64 (neg.f64 x))) |
(exp.f64 x) |
(+.f64 (sinh.f64 x) (cosh.f64 x)) |
(+.f64 (cosh.f64 x) (neg.f64 (sinh.f64 (neg.f64 x)))) |
(+.f64 (cosh.f64 x) (sinh.f64 x)) |
Compiled 15 049 to 3 166 computations (79.0% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 733 | 7 | 740 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 734 | 7 | 741 |
| Status | Accuracy | Program |
|---|---|---|
| 4.9% | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) | |
| ▶ | 99.6% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| 66.0% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))) | |
| ▶ | 67.7% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
| ▶ | 65.6% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
| ▶ | 71.9% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| ▶ | 66.0% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
Compiled 248 to 198 computations (20.2% saved)
| Inputs |
|---|
2 |
(sqrt 2) |
1/2 |
1 |
| Outputs |
|---|
#s(literal 2 binary64) |
#s(literal 6369051672525773/4503599627370496 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 7 to 6 computations (14.3% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 145 | 559 |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(expm1.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(expm1.f64 x) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 2 binary64) x) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 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 (+ x x)) 1) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))) |
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 4/3 binary64) x)))))) |
#s(approx (- (exp (+ x x)) 1) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 2/3 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 (* 1/2 (/ x (sqrt 2))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ x (sqrt 2)) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
#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 (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))) |
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) |
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (- (exp x) 1) (expm1.f64 x)) |
#s(approx (+ 2 x) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
#s(approx (+ 2 (* x (+ 1 (* 1/2 x)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ 2 (* x (+ 1 (* 1/2 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ 2 (* x (+ 1 (* 1/2 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (sqrt (/ (- (exp (+ x x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x)))) |
#s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x))) (expm1.f64 x))) |
#s(approx (- (exp (+ x x)) 1) (expm1.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)))) |
#s(approx (+ (sqrt 2) (* 1/2 (/ x (sqrt 2)))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 5.0ms | x | -inf |
| 3.0ms | x | inf |
| 2.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 185 |
| 0 | 50 | 171 |
| 1 | 264 | 171 |
| 2 | 900 | 169 |
| 3 | 3840 | 169 |
| 0 | 4021 | 159 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(expm1.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
(expm1.f64 x) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)) |
(+.f64 #s(literal 2 binary64) x) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(/.f64 x (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (pow.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (sqrt.f64 (expm1.f64 (+.f64 x x)))) |
(*.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (expm1.f64 (+.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x) #s(literal -1 binary64))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x))) (sqrt.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (sqrt.f64 (neg.f64 (expm1.f64 x)))) |
(/.f64 (sqrt.f64 (expm1.f64 (+.f64 x x))) (sqrt.f64 (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal -1/2 binary64))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 (exp.f64 x) #s(literal -1 binary64))) (expm1.f64 x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 (expm1.f64 x) (expm1.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(*.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 x) (expm1.f64 x)))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x))) |
(*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(pow.f64 (*.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)) (expm1.f64 x)) (expm1.f64 x)) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (neg.f64 (expm1.f64 x))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (expm1.f64 x))) #s(literal -1 binary64)) (neg.f64 (expm1.f64 x))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 (+.f64 x x))) (expm1.f64 x) (*.f64 #s(literal -1 binary64) (neg.f64 (expm1.f64 x)))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x))) |
(/.f64 (fma.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x) (*.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 (expm1.f64 x) (expm1.f64 x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) (-.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))))) |
(/.f64 (fma.f64 (neg.f64 (exp.f64 (+.f64 x x))) (expm1.f64 x) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x))) |
(/.f64 (fma.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal -1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal -1 binary64))) (*.f64 (expm1.f64 x) (expm1.f64 x))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 (+.f64 x x))) (expm1.f64 x)) (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (expm1.f64 x)) (expm1.f64 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x))) (*.f64 (expm1.f64 x) #s(literal -1 binary64))) (*.f64 (expm1.f64 x) (neg.f64 (expm1.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x) #s(literal -1 binary64))) (neg.f64 (expm1.f64 x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x))) (neg.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)))) |
(/.f64 (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x) #s(literal -1 binary64)) (expm1.f64 x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) (+.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (expm1.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x)))) |
(/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x x)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x) #s(literal -1 binary64)) (neg.f64 (expm1.f64 x)))) |
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) |
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (exp.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (exp.f64 x) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (neg.f64 (exp.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (exp.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (exp.f64 x)) (*.f64 (neg.f64 (exp.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (neg.f64 (exp.f64 x)) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (exp.f64 x)) (/.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (cosh.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (+.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (+.f64 x x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
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(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
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(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal -2 binary64) x))) (exp.f64 (+.f64 x x))) |
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(*.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x))) |
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(neg.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) |
(fma.f64 (fabs.f64 (sinh.f64 x)) (fabs.f64 (sinh.f64 x)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(fma.f64 (fabs.f64 (cosh.f64 x)) (fabs.f64 (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
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(fma.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x)))) |
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(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x))) #s(literal 1/2 binary64) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x) (+.f64 (cosh.f64 (+.f64 x x)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
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(fma.f64 (neg.f64 (expm1.f64 x)) (-.f64 (neg.f64 (exp.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x)))) |
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(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) |
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(fma.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x x)) (*.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x)))) |
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(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (-.f64 (cosh.f64 (+.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 (expm1.f64 (+.f64 x x)) #s(literal 0 binary64))) |
(fma.f64 (expm1.f64 x) (-.f64 (exp.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x)))) |
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(fma.f64 (expm1.f64 (+.f64 x x)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (expm1.f64 (+.f64 x x)))) |
(expm1.f64 (+.f64 x x)) |
(-.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (+.f64 x x))) (sinh.f64 (*.f64 #s(literal -2 binary64) x))) |
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(-.f64 (sinh.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 x x)))) |
(-.f64 (cosh.f64 (+.f64 x x)) (-.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64))) |
(-.f64 (cosh.f64 (+.f64 x x)) (+.f64 (sinh.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) |
(-.f64 (cosh.f64 (+.f64 x x)) (neg.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)))) |
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(-.f64 (expm1.f64 (+.f64 x x)) #s(literal 0 binary64)) |
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(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 (+.f64 x x))) (sinh.f64 (+.f64 x x))) |
(+.f64 (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (cosh.f64 x)) (*.f64 (-.f64 (exp.f64 x) #s(literal -1 binary64)) (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) |
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(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal -1/2 binary64) (neg.f64 x)) |
(*.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) x)) |
Compiled 13 080 to 2 362 computations (81.9% saved)
9 alts after pruning (7 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 581 | 7 | 588 |
| Fresh | 2 | 0 | 2 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 586 | 9 | 595 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.9% | (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
| ✓ | 99.6% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| 66.4% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) | |
| 66.0% | (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))) | |
| ▶ | 67.7% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| ▶ | 67.7% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
| ▶ | 65.6% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
| ✓ | 71.9% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| ▶ | 66.0% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64))))) |
Compiled 328 to 238 computations (27.4% saved)
| Inputs |
|---|
2 |
-2 |
6369051672525773/4503599627370496 |
1/2 |
1 |
-1 |
| Outputs |
|---|
#s(literal 2 binary64) |
#s(literal -2 binary64) |
#s(literal 6369051672525773/4503599627370496 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 8 to 8 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 930 |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
(sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) |
(-.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64))))) |
(+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))) |
#s(literal 6369051672525773/4503599627370496 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) |
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) |
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (fma.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) |
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))) |
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 x (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (+.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 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 (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)) |
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))) |
#s(approx (* 1/2 (/ x 6369051672525773/4503599627370496)) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)) |
#s(approx (/ x 6369051672525773/4503599627370496) (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) x)) |
#s(approx (+ (* 1/2 x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/2 x) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (* (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))) #s(literal 2 binary64))) |
#s(approx (sqrt (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1)))) (sqrt.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) |
#s(approx (- x -2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (*.f64 x (+.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (* 1/2 x) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 2.0ms | x | 0 |
| 2.0ms | x | inf |
| 2.0ms | x | -inf |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 258 |
| 0 | 49 | 235 |
| 1 | 250 | 229 |
| 2 | 880 | 229 |
| 3 | 3826 | 229 |
| 0 | 4032 | 183 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
(sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64))) |
(-.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64))))) |
(+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)))) |
#s(literal 6369051672525773/4503599627370496 binary64) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 x #s(literal 6369051672525773/4503599627370496 binary64)) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 0 binary64))) |
(pow.f64 (*.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal -2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
(fabs.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(pow.f64 (*.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) |
(fabs.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(fabs.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64))))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (-.f64 x #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x)) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) |
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 x #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -1 binary64)) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x)) |
(+.f64 x (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(+.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
#s(literal -1 binary64) |
Compiled 14 446 to 1 723 computations (88.1% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 406 | 5 | 411 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 1 | 2 |
| Total | 408 | 12 | 420 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.9% | (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
| ✓ | 99.6% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| 66.4% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) | |
| 66.0% | (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))) | |
| ✓ | 67.7% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| ▶ | 66.7% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64)))) |
| ✓ | 67.7% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
| ✓ | 65.6% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
| ▶ | 66.0% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))) |
| ▶ | 66.0% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
| ▶ | 66.0% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64))) |
| ▶ | 71.9% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))) |
Compiled 391 to 302 computations (22.8% saved)
| Inputs |
|---|
6369051672525773/4503599627370496 |
2251799813685248/6369051672525773 |
-6369051672525773/4503599627370496 |
1/2 |
2 |
1 |
40564819207303346393761349247529/20282409603651670423947251286016 |
| Outputs |
|---|
#s(literal 6369051672525773/4503599627370496 binary64) |
#s(literal 1592262918131443/4503599627370496 binary64) |
#s(literal -6369051672525773/4503599627370496 binary64) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
#s(literal 4503599627370497/2251799813685248 binary64) |
| 0.0ms | 1× | 0 | valid |
Compiled 9 to 9 computations (0.0% saved)
adjust: 0.0ms (0.0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 591 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))) |
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)) |
#s(literal 6369051672525773/4503599627370496 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))) |
(fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64)) |
x |
#s(literal 2251799813685248/6369051672525773 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64))) |
(-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64)) |
(*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) |
#s(literal -6369051672525773/4503599627370496 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64)) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
#s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) |
| Outputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))) |
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)) |
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))) |
#s(approx x x) |
#s(approx (* 2251799813685248/6369051672525773 x) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x)) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 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 (+ (* 1/2 x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* 1/2 x) 1) (+.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 (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) #s(literal 4503599627370496/6369051672525773 binary64)) |
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 #s(literal -45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64) x))) |
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 463168356949264781694283940034751631413079938662562256157830336031652518559744/10480303552955411917114041908381475441470465943738841148938548616208432462840093 binary64) x) #s(literal 45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64))))) |
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 463168356949264781694283940034751631413079938662562256157830336031652518559744/10480303552955411917114041908381475441470465943738841148938548616208432462840093 binary64) (*.f64 #s(literal -4697085165547666455778961193578674054751365097816639741414581943064418050229216886927397996769537406063869952/425131618863295197238257659133319676920901333405230880776093235293548164742994913425864574015942470059802380197 binary64) x))) #s(literal 45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64))))) |
#s(approx (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
#s(approx (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016) (+.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (sqrt.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x)))) |
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) (*.f64 x (+.f64 #s(literal 2251799813685248/6369051672525773 binary64) (*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 x))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (+ (* 1/2 x) 1) x) 2) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* 1/2 x) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (/.f64 #s(literal 6369051672525773/2251799813685248 binary64) x)) |
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (/.f64 (-.f64 #s(literal 6369051672525773/2251799813685248 binary64) (*.f64 #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64) (/.f64 #s(literal 1 binary64) x))) x)) |
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (/.f64 (-.f64 (+.f64 #s(literal 6369051672525773/2251799813685248 binary64) (/.f64 #s(literal 10480303552955411917114041908381475441470465943738841148938548616208432462840093/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64) (/.f64 #s(literal 1 binary64) x))) x)) |
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (/.f64 (-.f64 (+.f64 #s(literal 6369051672525773/2251799813685248 binary64) (/.f64 #s(literal 10480303552955411917114041908381475441470465943738841148938548616208432462840093/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64) (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 425131618863295197238257659133319676920901333405230880776093235293548164742994913425864574015942470059802380197/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) x)) |
#s(approx (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 6369051672525773/2251799813685248 binary64)) x))) |
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 10480303552955411917114041908381475441470465943738841148938548616208432462840093/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64)) x)) #s(literal 6369051672525773/2251799813685248 binary64)) x))) |
#s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 425131618863295197238257659133319676920901333405230880776093235293548164742994913425864574015942470059802380197/2348542582773833227889480596789337027375682548908319870707290971532209025114608443463698998384768703031934976 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 10480303552955411917114041908381475441470465943738841148938548616208432462840093/231584178474632390847141970017375815706539969331281128078915168015826259279872 binary64)) x)) #s(literal 258359429617980979649462394137437605196409064917/22835963083295358096932575511191922182123945984 binary64)) x)) #s(literal 6369051672525773/2251799813685248 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 | 36 | 198 |
| 0 | 47 | 188 |
| 1 | 256 | 182 |
| 2 | 824 | 182 |
| 3 | 3513 | 182 |
| 0 | 4017 | 154 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))) |
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)) |
#s(literal 6369051672525773/4503599627370496 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))) |
(fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64)) |
x |
#s(literal 2251799813685248/6369051672525773 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64))) |
(-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64)) |
(*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) |
#s(literal -6369051672525773/4503599627370496 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64))) |
(fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64)) |
#s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
#s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) |
| Outputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))) |
#s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64)) |
#s(literal 6369051672525773/4503599627370496 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 4503599627370496/6369051672525773 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal -1 binary64)) (pow.f64 #s(literal 4503599627370496/6369051672525773 binary64) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 6369051672525773/4503599627370496 binary64)) |
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 6369051672525773/4503599627370496 binary64)) |
(*.f64 #s(literal 20282409603651670423947251286016/40564819207303346393761349247529 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 4503599627370496/6369051672525773 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) #s(literal 4503599627370496/6369051672525773 binary64)) |
(*.f64 (pow.f64 #s(literal 4503599627370496/6369051672525773 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 4503599627370496/6369051672525773 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 4503599627370496/6369051672525773 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64)) (pow.f64 #s(literal -6369051672525773/4503599627370496 binary64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal -6369051672525773/4503599627370496 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
(*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
(*.f64 #s(literal -4503599627370496/6369051672525773 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) |
(*.f64 (fma.f64 #s(literal -2251799813685248/6369051672525773 binary64) x #s(literal -6369051672525773/4503599627370496 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))) #s(literal 6369051672525773/4503599627370496 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2251799813685248/6369051672525773 binary64) x) #s(literal 6369051672525773/4503599627370496 binary64))) #s(literal 6369051672525773/4503599627370496 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) (/.f64 #s(literal -1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64)) (pow.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 6369051672525773/4503599627370496 binary64) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 1 binary64))) |
(*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
(*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
(*.f64 #s(literal 4503599627370496/6369051672525773 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x))) (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal -4503599627370496/6369051672525773 binary64)) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2251799813685248/6369051672525773 binary64) x #s(literal -6369051672525773/4503599627370496 binary64))) |
(*.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 4503599627370496/6369051672525773 binary64)) |
(*.f64 #s(literal 6369051672525773/4503599627370496 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64))) |
(pow.f64 (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal -1 binary64)) #s(literal -6369051672525773/4503599627370496 binary64)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) #s(literal 1 binary64)) #s(literal -6369051672525773/4503599627370496 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2251799813685248/6369051672525773 binary64) x #s(literal 6369051672525773/4503599627370496 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -6369051672525773/4503599627370496 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) #s(literal -6369051672525773/4503599627370496 binary64)) |
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(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)))) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (neg.f64 x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
(fma.f64 (neg.f64 x) #s(literal -1/2 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
(-.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
(+.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(+.f64 #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64)) |
#s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64) |
Compiled 10 083 to 1 361 computations (86.5% saved)
12 alts after pruning (3 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 366 | 1 | 367 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 367 | 12 | 379 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.9% | (*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
| ✓ | 99.6% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| 66.4% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) | |
| 66.0% | (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))) | |
| ✓ | 67.7% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| ✓ | 66.7% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64)))) |
| ✓ | 67.7% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
| ✓ | 65.6% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
| ✓ | 66.0% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))) |
| 67.6% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 #s(literal -45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64) x))))) | |
| ✓ | 66.0% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64))) |
| ✓ | 71.9% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))) |
Compiled 251 to 190 computations (24.3% saved)
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 #s(literal -45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64) x))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))) |
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))) |
| Outputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))) |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ 6369051672525773/4503599627370496 (* 1/2 (/ x 6369051672525773/4503599627370496))) #s(literal 6369051672525773/4503599627370496 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 x #s(literal -2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 2251799813685248/6369051672525773 binary64) #s(literal 6369051672525773/4503599627370496 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (-.f64 (*.f64 #s(literal 2251799813685248/6369051672525773 binary64) x) #s(literal -6369051672525773/4503599627370496 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 #s(literal 6369051672525773/4503599627370496 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 6369051672525773/4503599627370496 binary64))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ 6369051672525773/4503599627370496 (+ (* 1/2 x) 40564819207303346393761349247529/20282409603651670423947251286016)) (+.f64 #s(literal 4503599627370496/6369051672525773 binary64) (*.f64 #s(literal -45671926166590716193865151022383844364247891968/258359429617980979649462394137437605196409064917 binary64) x))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 #s(approx (+ (* 1/2 x) 1) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64)))) (sqrt.f64 (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6369051672525773/4503599627370496 binary64) (fma.f64 #s(literal 1/2 binary64) x #s(literal 40564819207303346393761349247529/20282409603651670423947251286016 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))) |
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))))))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(approx (exp x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
6 calls:
| 8.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| 6.0ms | x |
| 5.0ms | x |
| 4.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 4.0ms | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.9% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 71.9% | 1 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| 71.9% | 1 | x |
| 99.6% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 99.6% | 1 | (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64)))) |
| 99.6% | 1 | x |
Compiled 468 to 159 computations (66.0% saved)
| 1× | fuel |
Compiled 30 to 23 computations (23.3% saved)
Compiled 42 to 33 computations (21.4% saved)
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