
Time bar (total: 3.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 1 |
Compiled 17 to 12 computations (29.4% saved)
| 928.0ms | 3 430× | 2 | valid |
| 520.0ms | 4 684× | 1 | valid |
| 5.0ms | 142× | 0 | valid |
ival-sqrt: 699.0ms (58.7% of total)adjust: 327.0ms (27.5% of total)ival-sub!: 94.0ms (7.9% of total)ival-add!: 70.0ms (5.9% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 27 |
| 1 | 47 | 27 |
| 2 | 81 | 27 |
| 3 | 199 | 27 |
| 4 | 799 | 27 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(negabs x)
Compiled 18 to 14 computations (22.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 1218 |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (sqrt (+ 1 x)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))) |
#s(approx (sqrt (+ 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))) |
#s(approx (+ 1 x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))) |
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (sqrt (+ 1 x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (+ 1 x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (sqrt (+ 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))) |
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 2.0ms | x | inf |
| 1.0ms | x | -inf |
| 1.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 25 |
| 0 | 12 | 25 |
| 1 | 69 | 25 |
| 2 | 174 | 25 |
| 3 | 429 | 25 |
| 4 | 1564 | 25 |
| 0 | 4283 | 25 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))))) |
(/.f64 (+.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) (+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (+.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(neg.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 8 binary64))) (sqrt.f64 #s(literal 4 binary64))) |
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(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))) |
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 #s(literal 0 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 4 binary64))) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 (neg.f64 x) (neg.f64 x) (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) x)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 8 binary64))) #s(literal 4 binary64) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64))) #s(literal 4 binary64) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 0 binary64))) #s(literal 0 binary64) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 0 binary64))) #s(literal 0 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(sqrt.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(-.f64 (neg.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))) |
(-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 0 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (-.f64 x #s(literal 0 binary64))) |
(-.f64 #s(literal 1 binary64) x) |
(fabs.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal 1/2 binary64)))) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) |
(fabs.f64 (-.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(fabs.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) |
(fabs.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(fabs.f64 (-.f64 x #s(literal 1 binary64))) |
(fabs.f64 (-.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (+.f64 (neg.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal 1 binary64)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (neg.f64 x)) #s(literal 1 binary64))) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(+.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (neg.f64 x))) |
(+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) x)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -2 binary64))) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
Compiled 9 680 to 2 196 computations (77.3% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 549 | 6 | 555 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 550 | 6 | 556 |
| Status | Accuracy | Program |
|---|---|---|
| 7.7% | (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) | |
| ▶ | 7.6% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 7.6% | (-.f64 (sqrt.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 7.6% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 99.8% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
| ▶ | 99.5% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 172 to 122 computations (29.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 318 | 2161 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 1/8 binary64) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 7/128 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (sqrt.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (+ 1/8 (* 7/128 (pow x 2))) #s(literal 1/8 binary64)) |
#s(approx (+ 1/8 (* 7/128 (pow x 2))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 7/128 (pow x 2)) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))) |
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))) |
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))) |
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#s(approx (+ x 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ x 1/2) (+.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))) |
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ 1/8 (* 7/128 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (sqrt (- x -1)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (sqrt (- x -1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) |
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (+ x 1/2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))) |
#s(approx (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 7/128 binary64))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))) |
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (- (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x)))))) |
#s(approx (- (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x)))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 3.0ms | x | -inf |
| 3.0ms | x | inf |
| 1.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 173 |
| 0 | 52 | 159 |
| 1 | 294 | 159 |
| 2 | 951 | 155 |
| 0 | 4044 | 147 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 1/8 binary64) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 7/128 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (sqrt.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))) x)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x)) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))))) (+.f64 x (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (-.f64 x (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 x (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))))) |
(neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1 binary64)) x)) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) (neg.f64 x))) |
(neg.f64 (*.f64 x (fma.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal -1 binary64)))) |
(neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))) x)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (fabs.f64 x)) (fabs.f64 x) x) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x #s(literal 1 binary64)) x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1/2 binary64)) x (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) (*.f64 x (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) (*.f64 (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (*.f64 x x) x) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1/2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) x)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)) x) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (*.f64 x (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x (*.f64 (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) x) (neg.f64 x) x) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) x) x) |
(fma.f64 #s(literal 1/2 binary64) x (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) x (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x) |
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 x (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/8 binary64) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/8 binary64) x) (*.f64 x (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/8 binary64) x) (*.f64 (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(fma.f64 x (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x))) |
(fma.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x)) |
(fma.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(fma.f64 x (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) x)) |
(fma.f64 x #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) |
(fma.f64 x #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1/2 binary64)))) |
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x #s(literal 1/2 binary64)) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) (*.f64 x (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) x) (*.f64 (fma.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) x)) |
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(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (-.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
Compiled 26 188 to 3 340 computations (87.2% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 018 | 3 | 1 021 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 022 | 5 | 1 027 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 7.6% | (-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 7.6% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 7.6% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.8% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
| ✓ | 99.5% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 67 to 48 computations (28.4% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 315 | 2015 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal 7/128 binary64) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 x x) x) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(approx (+ (* 7/128 (* x x)) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (sqrt (- x -1)) #s(literal 1 binary64)) |
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))) |
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))) |
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#s(approx (- x -1/2) #s(literal 1/2 binary64)) |
#s(approx (- x -1/2) (+.f64 #s(literal 1/2 binary64) x)) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (- (sqrt (- x -1)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (sqrt (- x -1)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (sqrt (- x -1)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))) |
#s(approx (- (sqrt (- x -1)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))) |
#s(approx (sqrt (- x -1)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) |
#s(approx (sqrt (- x -1)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) x)) |
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (- x -1/2) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 7/128 binary64))))) |
#s(approx (- (sqrt (- x -1)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (- (sqrt (- x -1)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (- (sqrt (- x -1)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x)))))) |
#s(approx (- (sqrt (- x -1)) (/ (- 1 x) (sqrt (- 1 x)))) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x)))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (/ (- 1 x) (sqrt (- 1 x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 2.0ms | x | inf |
| 2.0ms | x | -inf |
| 1.0ms | x | 0 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 116 |
| 0 | 42 | 104 |
| 1 | 262 | 104 |
| 2 | 724 | 96 |
| 0 | 2658 | 96 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal 7/128 binary64) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 x x) x) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) (*.f64 x x)) x)) x) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(*.f64 x (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) (*.f64 x x)))) (+.f64 x (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) (*.f64 x x)) (+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (neg.f64 x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)))) |
(neg.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) x) (*.f64 x x)) x)) |
(neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 x) x)) (fabs.f64 x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 x) x)) (fabs.f64 x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fabs.f64 x)) (*.f64 (fabs.f64 x) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) x) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) x)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (neg.f64 x)) (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) x) |
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (fabs.f64 x)) (fabs.f64 x) x) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 (fabs.f64 x) x)) (fabs.f64 x) x) |
(fma.f64 (*.f64 x (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)))) (fabs.f64 x) x) |
(fma.f64 (*.f64 x (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)))) (neg.f64 x) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (fabs.f64 x) #s(literal 7/128 binary64))) (fabs.f64 x) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (fabs.f64 x) #s(literal 7/128 binary64))) (fabs.f64 x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal -7/128 binary64) x)) (neg.f64 x) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal -7/128 binary64) x)) (neg.f64 x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 7/128 binary64) x)) x (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 7/128 binary64) x)) x (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal 7/128 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal 7/128 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)) (*.f64 #s(literal -7/128 binary64) x) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (neg.f64 x)) (*.f64 #s(literal -7/128 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) #s(literal 7/128 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) #s(literal 7/128 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (neg.f64 x))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 7/128 binary64) x) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) x)) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 #s(literal 7/128 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (neg.f64 x))) |
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x |
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#s(literal 1 binary64) |
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(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1/2 binary64)))) (-.f64 x #s(literal -1/2 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (-.f64 x #s(literal -1/2 binary64)))) (-.f64 x #s(literal -1/2 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) x)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (fma.f64 (-.f64 x #s(literal -1/2 binary64)) (-.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (*.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))) |
(neg.f64 (-.f64 #s(literal -1 binary64) x)) |
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) |
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1/2 binary64) x)) |
(-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(fabs.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1/2 binary64))) |
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(+.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) x)) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) (-.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (+.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (-.f64 x #s(literal 1/2 binary64))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) x) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (+.f64 x #s(literal -1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(neg.f64 (-.f64 #s(literal -1/2 binary64) x)) |
(-.f64 #s(literal 1/2 binary64) (neg.f64 x)) |
(-.f64 x #s(literal -1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) x) |
(+.f64 x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
Compiled 15 208 to 2 024 computations (86.7% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 575 | 1 | 576 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 2 | 2 |
| Total | 575 | 6 | 581 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.6% | (-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 7.6% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 7.6% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.8% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
| ▶ | 99.7% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
| ✓ | 99.5% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 93 to 66 computations (29% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 749 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(approx (+ (* 7/128 (* x x)) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 7/128 binary64))))) |
3 calls:
| Time | Variable | Point |
|---|---|---|
| 1.0ms | x | inf |
| 1.0ms | x | -inf |
| 1.0ms | x | 0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 61 |
| 0 | 21 | 55 |
| 1 | 125 | 55 |
| 2 | 361 | 55 |
| 3 | 1138 | 55 |
| 4 | 3065 | 55 |
| 0 | 4022 | 52 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 (neg.f64 x) x)) x)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
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(fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (neg.f64 x)) |
(-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 (neg.f64 x) x))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x) (*.f64 x #s(literal 0 binary64))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x) (*.f64 #s(literal 0 binary64) x)) |
(+.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) |
(neg.f64 (neg.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)))) |
#s(literal 1/8 binary64) |
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) (fabs.f64 x)) |
(*.f64 (pow.f64 x #s(literal 0 binary64)) (*.f64 (*.f64 x x) x)) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 5/2 binary64))) |
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fabs.f64 x) x) (fabs.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 3 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x))) |
(*.f64 (*.f64 (*.f64 x x) x) (pow.f64 x #s(literal 0 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 x x) x) (pow.f64 x #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 0 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 0 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 0 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (*.f64 x x)) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x))) |
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64))) |
(*.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))) |
(*.f64 x x) |
(pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 (*.f64 x x) (*.f64 (cosh.f64 #s(literal -1 binary64)) (cosh.f64 #s(literal -1 binary64)))) (pow.f64 (*.f64 x x) (*.f64 (sinh.f64 #s(literal 1 binary64)) (sinh.f64 #s(literal 1 binary64))))) |
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 (pow.f64 (*.f64 x x) #s(literal 0 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) |
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 x x) x) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 x #s(literal 0 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) |
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x))) |
(fabs.f64 (*.f64 (fabs.f64 x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
Compiled 8 431 to 976 computations (88.4% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 255 | 0 | 255 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 255 | 6 | 261 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 7.6% | (-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 7.6% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| ✓ | 7.6% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.8% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
| ✓ | 99.7% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
| ✓ | 99.5% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 93 to 66 computations (29% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (-.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (+.f64 (+.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
6 calls:
| 3.0ms | x |
| 2.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 99.5% | 1 | x |
| 99.7% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 99.7% | 1 | x |
| 99.8% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 99.8% | 1 | x |
Compiled 198 to 81 computations (59.1% saved)
| 1× | done |
Compiled 60 to 23 computations (61.7% saved)
(negabs x)
Compiled 189 to 110 computations (41.8% saved)
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