
Time bar (total: 2.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 75% | 75% | 25% | 0% | 0% | 0% | 0% | 3 |
| 87.5% | 87.5% | 12.5% | 0% | 0% | 0% | 0% | 4 |
| 93.8% | 93.7% | 6.2% | 0% | 0% | 0% | 0% | 5 |
| 96.9% | 96.8% | 3.1% | 0% | 0% | 0% | 0% | 6 |
| 98.4% | 98.4% | 1.6% | 0% | 0% | 0% | 0% | 7 |
| 99.2% | 99.2% | 0.8% | 0% | 0% | 0% | 0% | 8 |
| 99.6% | 99.6% | 0.4% | 0% | 0% | 0% | 0% | 9 |
| 99.8% | 99.8% | 0.2% | 0% | 0% | 0% | 0% | 10 |
| 99.9% | 99.9% | 0.1% | 0% | 0% | 0% | 0% | 11 |
| 100% | 99.9% | 0% | 0% | 0% | 0% | 0% | 12 |
Compiled 14 to 9 computations (35.7% saved)
| 415.0ms | 8 256× | 0 | valid |
| 373.0ms | 2 615× | 0 | exit |
ival-sqrt: 316.0ms (53.8% of total)ival-expm1: 162.0ms (27.6% of total)ival-div!: 55.0ms (9.4% of total)ival-mult!: 53.0ms (9% 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 |
|---|---|---|
| ▶ | 34.9% | (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 |
|---|
(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 |
| 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 |
|---|
(fabs.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 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(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))) |
(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (expm1.f64 (+.f64 x 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 (expm1.f64 (+.f64 x x))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (neg.f64 (expm1.f64 (+.f64 x x)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (+.f64 x x)) (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 (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 (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 (expm1.f64 (+.f64 x x)) (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)))))) |
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (expm1.f64 x)) (+.f64 (/.f64 (sinh.f64 (+.f64 x x)) (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 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(+.f64 (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(+.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)))) |
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (expm1.f64 x)) (-.f64 (/.f64 (sinh.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(+.f64 (/.f64 (cosh.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 (-.f64 (sinh.f64 (+.f64 x x)) #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 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (neg.f64 (expm1.f64 x)))) |
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (*.f64 (expm1.f64 x) (expm1.f64 x))) (/.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) (expm1.f64 x)))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cosh.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) (/.f64 (sinh.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)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(/.f64 (expm1.f64 (+.f64 x x)) (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 (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 (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 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(/.f64 (*.f64 #s(literal -1 binary64) (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(/.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64)) (neg.f64 (expm1.f64 x))) |
(/.f64 (*.f64 (neg.f64 (expm1.f64 (+.f64 x x))) #s(literal 1 binary64)) (neg.f64 (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 (/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x)) (expm1.f64 x)) (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 (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 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (expm1.f64 x) #s(literal -1 binary64)) (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 (-.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 (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 (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (neg.f64 (expm1.f64 x))) #s(literal -1 binary64)) (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))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 (+.f64 x x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (exp.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.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 #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 (*.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 (+.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 (exp.f64 x) (*.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) (/.f64 #s(literal -1 binary64) (expm1.f64 x))) |
(fma.f64 (exp.f64 x) (*.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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(fma.f64 (cosh.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 (/.f64 (sinh.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal -1 binary64) (expm1.f64 x)))) |
(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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))) |
(fma.f64 (exp.f64 x) (/.f64 (exp.f64 x) (expm1.f64 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 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64))) |
(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 (cosh.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (*.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (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 (cosh.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (-.f64 (/.f64 (sinh.f64 (+.f64 x x)) (expm1.f64 x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(fma.f64 (cosh.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x)) (/.f64 (-.f64 (sinh.f64 (+.f64 x x)) #s(literal 1 binary64)) (expm1.f64 x))) |
(neg.f64 (/.f64 (expm1.f64 (+.f64 x x)) (neg.f64 (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)))) |
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(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
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(fma.f64 (cosh.f64 x) (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 (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)))) |
(neg.f64 (*.f64 (expm1.f64 (+.f64 x x)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) |
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(*.f64 (exp.f64 x) (exp.f64 x)) |
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(fabs.f64 (exp.f64 (+.f64 x x))) |
(fabs.f64 (neg.f64 (exp.f64 (+.f64 x x)))) |
(+.f64 (*.f64 (cosh.f64 x) (exp.f64 x)) (*.f64 (sinh.f64 x) (exp.f64 x))) |
(+.f64 (*.f64 (exp.f64 x) (sinh.f64 x)) (*.f64 (exp.f64 x) (cosh.f64 x))) |
(+.f64 (*.f64 (exp.f64 x) (cosh.f64 x)) (*.f64 (exp.f64 x) (sinh.f64 x))) |
(+.f64 (*.f64 (sinh.f64 x) (exp.f64 x)) (*.f64 (cosh.f64 x) (exp.f64 x))) |
(+.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (+.f64 x x))) |
(+.f64 (sinh.f64 (+.f64 x x)) (cosh.f64 (+.f64 x x))) |
(+.f64 (fma.f64 (sinh.f64 x) (sinh.f64 x) (sinh.f64 (+.f64 x x))) (*.f64 (cosh.f64 x) (cosh.f64 x))) |
(+.f64 (fma.f64 (cosh.f64 x) (cosh.f64 x) (sinh.f64 (+.f64 x x))) (*.f64 (sinh.f64 x) (sinh.f64 x))) |
(+.f64 (+.f64 (cosh.f64 (+.f64 x x)) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64))) |
(+.f64 (+.f64 (sinh.f64 (+.f64 x x)) (*.f64 (sinh.f64 x) (sinh.f64 x))) (*.f64 (cosh.f64 x) (cosh.f64 x))) |
(+.f64 (+.f64 (sinh.f64 (+.f64 x x)) (*.f64 (cosh.f64 x) (cosh.f64 x))) (*.f64 (sinh.f64 x) (sinh.f64 x))) |
(+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (sinh.f64 (*.f64 x #s(literal -2 binary64))))) |
(+.f64 (*.f64 (cosh.f64 x) (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (sinh.f64 (+.f64 x x)))) |
(+.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (+.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (cosh.f64 (+.f64 x x)))) |
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(+.f64 (cosh.f64 (+.f64 x x)) (neg.f64 (sinh.f64 (*.f64 x #s(literal -2 binary64))))) |
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(-.f64 (cosh.f64 (+.f64 x x)) (sinh.f64 (*.f64 x #s(literal -2 binary64)))) |
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(/.f64 (fma.f64 (cosh.f64 (+.f64 x x)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (+.f64 x x)))) #s(literal 2 binary64)) |
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(exp.f64 (+.f64 x x)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (cosh.f64 x) (cosh.f64 (+.f64 x x))) |
(fma.f64 (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 (+.f64 x x)) #s(literal 2 binary64)) (cosh.f64 (+.f64 x x))) |
(fma.f64 (exp.f64 x) (cosh.f64 x) (*.f64 (exp.f64 x) (sinh.f64 x))) |
(fma.f64 (cosh.f64 x) (exp.f64 x) (*.f64 (sinh.f64 x) (exp.f64 x))) |
(fma.f64 (sinh.f64 x) (exp.f64 x) (*.f64 (cosh.f64 x) (exp.f64 x))) |
(fma.f64 (exp.f64 x) (sinh.f64 x) (*.f64 (exp.f64 x) (cosh.f64 x))) |
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(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (+.f64 x x))) #s(literal 1/2 binary64) (sinh.f64 (+.f64 x x))) |
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(fma.f64 (sinh.f64 (neg.f64 x)) (sinh.f64 (neg.f64 x)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (sinh.f64 (+.f64 x x)))) |
(fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (sinh.f64 (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (neg.f64 (cosh.f64 x)) (neg.f64 (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (sinh.f64 (+.f64 x x)))) |
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(fma.f64 (fabs.f64 (sinh.f64 x)) (fabs.f64 (sinh.f64 x)) (fma.f64 (cosh.f64 x) (cosh.f64 x) (sinh.f64 (+.f64 x x)))) |
(fma.f64 (fabs.f64 (cosh.f64 x)) (fabs.f64 (cosh.f64 x)) (-.f64 (*.f64 (sinh.f64 x) (sinh.f64 x)) (sinh.f64 (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (fabs.f64 (cosh.f64 x)) (fabs.f64 (cosh.f64 x)) (fma.f64 (sinh.f64 x) (sinh.f64 x) (sinh.f64 (+.f64 x x)))) |
(neg.f64 (neg.f64 (exp.f64 (+.f64 x x)))) |
(pow.f64 (*.f64 (E.f64) (E.f64)) x) |
(pow.f64 (exp.f64 x) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(sqrt.f64 (exp.f64 (*.f64 (+.f64 x x) #s(literal 2 binary64)))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (+.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x x)) |
(+.f64 x x) |
(+.f64 x (neg.f64 (neg.f64 x))) |
(-.f64 x (neg.f64 x)) |
(-.f64 x (*.f64 #s(literal -1 binary64) x)) |
(-.f64 x (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) x x) |
(fma.f64 x #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(fma.f64 #s(literal 1 binary64) x (neg.f64 (neg.f64 x))) |
(neg.f64 (*.f64 x #s(literal -2 binary64))) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(literal 1 binary64)) |
(fabs.f64 #s(literal 2 binary64)) |
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(+.f64 #s(literal 2 binary64) #s(literal 0 binary64)) |
(-.f64 #s(literal 1 binary64) #s(literal -1 binary64)) |
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(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 1 binary64)) |
(neg.f64 #s(literal -2 binary64)) |
x |
(*.f64 x #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) x) |
(+.f64 x (*.f64 #s(literal 0 binary64) x)) |
(+.f64 x (*.f64 x #s(literal 0 binary64))) |
(/.f64 (+.f64 x x) #s(literal 2 binary64)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x #s(literal 0 binary64))) |
(neg.f64 (*.f64 x #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(literal -1 binary64) x)) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(fabs.f64 #s(literal -1 binary64)) |
(fabs.f64 #s(literal 1 binary64)) |
(+.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 0 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 #s(literal 1/2 binary64) #s(literal -1/2 binary64)) |
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(/.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal -2 binary64) #s(literal -2 binary64)) |
(cosh.f64 #s(literal 0 binary64)) |
(exp.f64 #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) #s(literal 2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 0 binary64) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
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(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) #s(literal 0 binary64) #s(literal 1 binary64)) |
(hypot.f64 #s(literal 1 binary64) #s(literal 0 binary64)) |
(hypot.f64 #s(literal -1 binary64) #s(literal 0 binary64)) |
(hypot.f64 #s(literal 0 binary64) #s(literal 1 binary64)) |
(hypot.f64 #s(literal 0 binary64) #s(literal -1 binary64)) |
(neg.f64 #s(literal -1 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(sqrt.f64 #s(literal 1 binary64)) |
(*.f64 (expm1.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (expm1.f64 x)) |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x)) |
(+.f64 (+.f64 #s(literal -1 binary64) (cosh.f64 x)) (sinh.f64 x)) |
(+.f64 (cosh.f64 x) (-.f64 (sinh.f64 x) #s(literal 1 binary64))) |
(+.f64 (expm1.f64 x) (*.f64 #s(literal 0 binary64) (expm1.f64 x))) |
(+.f64 (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64))) |
(+.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 (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 (expm1.f64 x) #s(literal 0 binary64)) |
(-.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) (neg.f64 (-.f64 (sinh.f64 x) #s(literal 1 binary64)))) |
(-.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 (*.f64 (expm1.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(expm1.f64 x) |
(fma.f64 #s(literal 1 binary64) #s(literal -1 binary64) (exp.f64 x)) |
(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 (*.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 (expm1.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (expm1.f64 x))) |
(fma.f64 (expm1.f64 x) #s(literal 1 binary64) (*.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))) |
(fma.f64 #s(literal 1 binary64) (expm1.f64 x) (*.f64 (expm1.f64 x) #s(literal 0 binary64))) |
(neg.f64 (*.f64 (expm1.f64 x) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 (expm1.f64 x))) |
(neg.f64 (*.f64 (neg.f64 (expm1.f64 x)) #s(literal 1 binary64))) |
(fabs.f64 (exp.f64 x)) |
(fabs.f64 (neg.f64 (exp.f64 x))) |
(+.f64 (cosh.f64 x) (sinh.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 (neg.f64 x))) |
(-.f64 (sinh.f64 x) (neg.f64 (cosh.f64 x))) |
(/.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 #s(literal 2 binary64) (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 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) (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 (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 (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) (sinh.f64 x)) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(exp.f64 x) |
(fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64) (sinh.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)))) |
(neg.f64 (neg.f64 (exp.f64 x))) |
(pow.f64 (exp.f64 (+.f64 x x)) #s(literal 1/2 binary64)) |
(sqrt.f64 (exp.f64 (+.f64 x x))) |
Compiled 6 079 to 1 487 computations (75.5% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 340 | 7 | 347 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 341 | 7 | 348 |
| Status | Accuracy | Program |
|---|---|---|
| 4.1% | (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)))) | |
| ▶ | 99.2% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| 65.4% | (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)))))))) | |
| ▶ | 67.1% | (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)))))) |
| ▶ | 65.3% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
| ▶ | 72.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| ▶ | 65.7% | #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 |
|---|
(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 |
| 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 |
|---|
(fabs.f64 (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x)))) |
(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))) |
(*.f64 (expm1.f64 (+.f64 x 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 (expm1.f64 (+.f64 x x)) (expm1.f64 x)) |
(/.f64 (neg.f64 (expm1.f64 (+.f64 x x))) (neg.f64 (expm1.f64 x))) |
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) |
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(expm1.f64 (+.f64 x x)) |
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(+.f64 x x) |
(-.f64 x (neg.f64 x)) |
x |
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(expm1.f64 x) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.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) |
(fabs.f64 #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #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) |
(+.f64 x #s(literal 2 binary64)) |
(-.f64 #s(literal 2 binary64) (neg.f64 x)) |
#s(approx (sqrt (/ (+ (exp (* 2 x)) -1) (+ (exp x) -1))) (fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 x #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fabs.f64 #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) (neg.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(approx (/ (+ (exp (* 2 x)) -1) (+ (exp x) -1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (/ (+ (exp (* 2 x)) -1) (+ (exp x) -1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.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 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cosh.f64 #s(literal 0 binary64)) |
(exp.f64 #s(literal 0 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
Compiled 2 256 to 479 computations (78.8% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 104 | 6 | 110 |
| Fresh | 2 | 0 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 108 | 9 | 117 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| 66.5% | (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)))))) | |
| ▶ | 65.4% | (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)))))))) |
| ▶ | 67.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| ✓ | 65.3% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
| ▶ | 22.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | 72.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| ▶ | 13.5% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
| ▶ | 65.5% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
Compiled 276 to 221 computations (19.9% saved)
| Inputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 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)))))))) |
#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))))))) |
(+.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)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 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 (/ (- (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 1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (* x 1/2) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx x x) |
#s(approx (+ (* (/ x 2) 1/2) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/4 binary64) x))) |
#s(approx (/ x 2) (*.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ (sqrt 2) (/ (* 1/2 x) 2)) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) x))) |
#s(approx (/ (* 1/2 x) 2) (*.f64 #s(literal 1/4 binary64) x)) |
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))) |
#s(approx (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) (*.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 (* x (+ 1/2 (* 1/6 x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) |
#s(approx (* x (+ 1/2 (* 1/6 x))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))) |
#s(approx (+ 1/2 (* 1/6 x)) #s(literal 1/2 binary64)) |
#s(approx (+ 1/2 (* 1/6 x)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) |
#s(approx (* 1/6 x) (*.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 (+ (* (+ (* x 1/2) 1) x) 2) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* (+ (* x 1/2) 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 (+ (* (+ (* x 1/2) 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 (+ (* x 1/2) 1) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* (/ x 2) 1/2) 2) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (sqrt 2) (/ (* 1/2 x) 2)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))))) |
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ 1 (* x (+ 1/2 (* 1/6 x)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ 1/2 (* 1/6 x)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (sqrt 2) (/ (* 1/2 x) 2)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #s(literal 1/4 binary64))))) |
#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 (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1/6 binary64))))) |
#s(approx (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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))))) x)) #s(literal 1/6 binary64))))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 9.0ms | x | -inf |
| 3.0ms | x | inf |
| 2.0ms | x | 0 |
| Inputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
x |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(/.f64 x #s(literal 2 binary64)) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
(+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) |
(*.f64 #s(literal 1/2 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)))))))) |
#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))))))) |
(+.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)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
(*.f64 #s(literal 1/6 binary64) x) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
(sqrt.f64 #s(approx (/ (+ (exp (* 2 x)) -1) (+ (exp x) -1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
#s(approx (/ (+ (exp (* 2 x)) -1) (+ (exp x) -1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) #s(literal 2 binary64)) |
(+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (neg.f64 #s(literal -2 binary64))) |
(+.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) #s(literal -2 binary64)) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) x)) |
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(*.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 #s(literal -2 binary64))) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) #s(literal -2 binary64))) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal -2 binary64))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal -2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(*.f64 x (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(/.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) |
(/.f64 (neg.f64 x) #s(literal -2 binary64)) |
(/.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 #s(literal -2 binary64))) |
(/.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 #s(literal -2 binary64))) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 2 binary64) #s(literal -2 binary64))) |
(neg.f64 (/.f64 x #s(literal -2 binary64))) |
(sqrt.f64 #s(approx (/ (+ (exp (* 2 x)) -1) (+ (exp x) -1)) (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #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 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64))) |
(+.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)) |
(+.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) |
(+.f64 (+.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(+.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(+.f64 (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x))) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))) |
(+.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) #s(literal -2 binary64)) |
(-.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x))) |
(fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)) |
(fma.f64 x (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1 binary64) x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (cosh.f64 (/.f64 (+.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))) (cosh.f64 (/.f64 (-.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)))) |
(fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))) |
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))) |
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))) |
(neg.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)) #s(literal 2 binary64))) |
(*.f64 x (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64))) |
(*.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) |
(+.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(-.f64 x (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(-.f64 x (*.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) x)) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x x) |
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) |
(+.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x)))) |
(-.f64 (*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x))) |
(fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal -2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1 binary64))) |
(neg.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64))) |
(*.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) |
(*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x) |
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x #s(literal -1/6 binary64)) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/6 binary64) x))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) x (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 #s(literal 1/6 binary64) x) x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal -1/6 binary64)) x)) |
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal -1/6 binary64)))) |
(-.f64 (*.f64 #s(literal 1/6 binary64) x) (neg.f64 #s(literal 1/2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) x #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) x)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (*.f64 (neg.f64 #s(literal -1/6 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1/2 binary64) (neg.f64 (*.f64 x #s(literal -1/6 binary64)))) |
(neg.f64 (-.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/6 binary64) x) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
Compiled 10 390 to 1 701 computations (83.6% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 409 | 6 | 415 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 412 | 12 | 424 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| ▶ | 66.5% | (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)))))) |
| 65.4% | (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) | |
| 13.1% | (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))) | |
| ▶ | 14.9% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))) |
| ✓ | 67.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| ✓ | 65.3% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
| ▶ | 22.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | 22.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 #s(literal 2 binary64)))) |
| ✓ | 72.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| ▶ | 13.5% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) |
| ▶ | 12.0% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
Compiled 353 to 276 computations (21.8% saved)
| Inputs |
|---|
(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)))))) |
(/.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))))) |
(expm1.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
#s(approx (- (exp x) 1) (*.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) |
#s(literal 1/2 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
| 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 (* 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 (+ (* x 1/2) 2) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* 2 2) (* 1/2 x)) #s(literal 4 binary64)) |
#s(approx (+ (* 2 2) (* 1/2 x)) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (+ (* (+ (* x 1/2) 1) x) (+ 2 2)) (+.f64 #s(literal 4 binary64) x)) |
#s(approx (+ (* (+ (* x 1/2) 1) x) (+ 2 2)) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.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 (* x (+ 1 (* 1/2 x))) (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* 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 (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (* x 1/2) 2) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* 2 2) (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (+ (* (+ (* x 1/2) 1) x) (+ 2 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 4 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#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)))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 3.0ms | x | inf |
| 2.0ms | x | -inf |
| 2.0ms | x | 0 |
| Inputs |
|---|
(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)))))) |
(/.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))))) |
(expm1.f64 (+.f64 x x)) |
(+.f64 x x) |
x |
#s(approx (- (exp x) 1) (*.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) |
#s(literal 1/2 binary64) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))) |
#s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
| Outputs |
|---|
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (+ (exp x) -1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))))) |
(/.f64 (expm1.f64 (+.f64 x x)) #s(approx (+ (exp x) -1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(+.f64 (exp.f64 (+.f64 x x)) #s(literal -1 binary64)) |
(-.f64 (exp.f64 (+.f64 x x)) #s(literal 1 binary64)) |
(expm1.f64 (+.f64 x x)) |
(fma.f64 (exp.f64 x) (exp.f64 x) #s(literal -1 binary64)) |
(neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
(+.f64 x x) |
(-.f64 x (neg.f64 x)) |
x |
#s(approx (+ (exp x) -1) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(-.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 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(cosh.f64 #s(literal 0 binary64)) |
(exp.f64 #s(literal 0 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (sqrt (/ (+ (exp (* 2 x)) -1) (+ (exp x) -1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -2 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fabs.f64 #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #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) |
(fabs.f64 #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(fabs.f64 #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(approx (sqrt (/ (+ (exp (* 2 x)) -1) (+ (exp x) -1))) (fma.f64 #s(literal 1/2 binary64) x #s(literal 4 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(-.f64 #s(literal 4 binary64) (*.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 4 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 4 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 4 binary64)) |
(fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(sqrt.f64 #s(approx (/ (+ (exp (* 2 x)) -1) (+ (exp x) -1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 4 binary64)))) |
#s(approx (/ (+ (exp (* 2 x)) -1) (+ (exp x) -1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 4 binary64))) |
(+.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 4 binary64)) |
(+.f64 (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 4 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(-.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) (neg.f64 #s(literal 4 binary64))) |
(fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 4 binary64)) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) |
(fma.f64 #s(literal -2 binary64) #s(literal -2 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(-.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 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) |
#s(literal 4 binary64) |
(*.f64 #s(literal -2 binary64) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
(-.f64 #s(literal 2 binary64) #s(literal -2 binary64)) |
(pow.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
Compiled 2 466 to 482 computations (80.5% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 108 | 6 | 114 |
| Fresh | 1 | 1 | 2 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 113 | 13 | 126 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) (expm1.f64 x))) |
| 68.2% | (sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))))) | |
| 65.4% | (sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) | |
| 14.9% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 4 binary64)))) | |
| ✓ | 67.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| ✓ | 65.3% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
| 22.5% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) | |
| ✓ | 22.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) |
| ✓ | 22.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 #s(literal 2 binary64)))) |
| 13.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* x 1/2) 1) x) (+ 2 2)) (+.f64 #s(literal 4 binary64) x)))) | |
| ✓ | 72.1% | (sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| 12.0% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 4 binary64))) | |
| 17.4% | #s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* 2 2) (* 1/2 x)) #s(literal 4 binary64))) |
Compiled 236 to 188 computations (20.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* 2 2) (* 1/2 x)) #s(literal 4 binary64))) |
| Outputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* 2 2) (* 1/2 x)) #s(literal 4 binary64))) |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* 2 2) (* 1/2 x)) #s(literal 4 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)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* x 1/2) 1) x) (+ 2 2)) (+.f64 #s(literal 4 binary64) x)))) |
(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 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 4 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(literal 2 binary64))) |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* 2 2) (* 1/2 x)) #s(literal 4 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)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* x 1/2) 1) x) (+ 2 2)) (+.f64 #s(literal 4 binary64) x)))) |
(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 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 4 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
| Outputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (+.f64 #s(literal 2 binary64) x))) |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* 2 2) (* 1/2 x)) #s(literal 4 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)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* x 1/2) 1) x) (+ 2 2)) (+.f64 #s(literal 4 binary64) x)))) |
(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 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 4 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 4 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)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))) |
| Outputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* 2 2) (* 1/2 x)) #s(literal 4 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)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* x 1/2) 1) x) (+ 2 2)) (+.f64 #s(literal 4 binary64) x)))) |
(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 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 4 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 4 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)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| Outputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* 2 2) (* 1/2 x)) #s(literal 4 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)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* x 1/2) 1) x) (+ 2 2)) (+.f64 #s(literal 4 binary64) x)))) |
(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 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 4 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 4 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)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x #s(approx (+ 1 (* 1/2 x)) #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 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x)))) |
| Outputs |
|---|
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x #s(approx (+ 1 (* 1/2 x)) #s(literal 1 binary64)))))) |
| Inputs |
|---|
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) #s(approx (+ (* 2 2) (* 1/2 x)) #s(literal 4 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)) (sqrt.f64 #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) #s(approx (+ (* (+ (* x 1/2) 1) x) (+ 2 2)) (+.f64 #s(literal 4 binary64) x)))) |
(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 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 4 binary64))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (sqrt.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (fma.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))) (+.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
(sqrt.f64 #s(approx (/ (- (exp (* 2 x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x #s(literal 4 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)) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x (+.f64 #s(literal 2 binary64) #s(literal 2 binary64))))) |
(sqrt.f64 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 2 binary64)))) |
(sqrt.f64 (/.f64 (expm1.f64 (+.f64 x x)) #s(approx (- (exp x) 1) (*.f64 x #s(approx (+ 1 (* 1/2 x)) #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 #s(approx (/ (- (exp (+ x x)) 1) (- (exp x) 1)) (fma.f64 #s(literal 2 binary64) #s(literal 2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 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))) |
21 calls:
| 20.0ms | x |
| 14.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 9.0ms | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 7.0ms | (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 |
| Accuracy | Segments | Branch |
|---|---|---|
| 17.4% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 17.4% | 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)))) |
| 17.4% | 1 | x |
| 72.1% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 72.1% | 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)))) |
| 72.1% | 1 | x |
| 74.0% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 74.0% | 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)))) |
| 74.0% | 2 | x |
| 74.0% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 74.0% | 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)))) |
| 74.0% | 2 | x |
| 74.0% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 74.0% | 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)))) |
| 74.0% | 2 | x |
| 74.5% | 2 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 74.5% | 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)))) |
| 74.5% | 2 | x |
| 99.2% | 1 | (/.f64 (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (-.f64 (exp.f64 x) #s(literal 1 binary64))) |
| 99.2% | 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)))) |
| 99.2% | 1 | x |
Compiled 669 to 267 computations (60.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | -1.3758894345129522 | -2.638746200841273e-7 |
| 9.0ms | 144× | 0 | valid |
Compiled 348 to 299 computations (14.1% saved)
ival-expm1: 3.0ms (51.3% of total)ival-sqrt: 1.0ms (17.1% of total)ival-mult!: 1.0ms (17.1% of total)ival-div!: 1.0ms (17.1% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | -50.616358080276186 | -1.3758894345129522 |
| 12.0ms | 112× | 0 | valid |
Compiled 295 to 249 computations (15.6% saved)
ival-expm1: 4.0ms (47.8% of total)ival-sqrt: 2.0ms (23.9% of total)ival-mult!: 1.0ms (11.9% of total)ival-div!: 1.0ms (11.9% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | -1.3758894345129522 | -2.638746200841273e-7 |
| 8.0ms | 64× | 0 | valid |
Compiled 348 to 308 computations (11.5% saved)
ival-expm1: 3.0ms (54.5% of total)ival-sqrt: 1.0ms (18.2% of total)ival-mult!: 1.0ms (18.2% of total)ival-div!: 1.0ms (18.2% of total)adjust: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | -1.3758894345129522 | -2.638746200841273e-7 |
| 6.0ms | 48× | 0 | valid |
Compiled 312 to 281 computations (9.9% saved)
ival-expm1: 2.0ms (49.2% of total)ival-sqrt: 1.0ms (24.6% of total)ival-mult!: 1.0ms (24.6% of total)ival-div!: 1.0ms (24.6% of total)adjust: 0.0ms (0% of total)| 1× | fuel |
Compiled 207 to 67 computations (67.6% saved)
Compiled 219 to 77 computations (64.8% saved)
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