
Time bar (total: 3.5s)
| 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)
| 858.0ms | 3 409× | 2 | valid |
| 550.0ms | 4 727× | 1 | valid |
| 4.0ms | 120× | 0 | valid |
ival-sqrt: 707.0ms (61% of total)adjust: 264.0ms (22.8% of total)ival-sub!: 134.0ms (11.6% of total)ival-add!: 54.0ms (4.7% 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 |
|---|---|---|
| ▶ | 8.8% | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(negabs x)
Compiled 16 to 14 computations (12.5% 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 | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (sqrt (- 1 x)) (- 1 x)) |
| 2.0ms | x | @ | -inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (sqrt (- 1 x)) (- 1 x)) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (sqrt (+ 1 x)) (+ 1 x) 1 x (sqrt (- 1 x)) (- 1 x)) |
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 | 8167 | 25 |
| 1 | 14660 | 25 |
| 1× | saturated |
| 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 |
|---|
(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)))) |
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64))) |
(*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) #s(literal 4 binary64)) |
(*.f64 (fabs.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(*.f64 (fabs.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/8 binary64))) #s(literal 4 binary64)) |
(*.f64 (fabs.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)) |
(*.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
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(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (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 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 8 binary64) #s(literal 4 binary64)) #s(literal 8 binary64)) |
(/.f64 (fma.f64 (-.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -4 binary64) #s(literal -2 binary64)) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (-.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 4 binary64) #s(literal 2 binary64)) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) (E.f64) (E.f64)) (E.f64)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 8 binary64)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (E.f64)) (E.f64)) (E.f64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal -8 binary64)) #s(literal 8 binary64)) #s(literal -8 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal -4 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 1 binary64) x) #s(literal -4 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 8 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal 8 binary64) #s(literal 8 binary64)) #s(literal 8 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal -2 binary64)) |
(/.f64 (+.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (+.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64)) |
(/.f64 (+.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (neg.f64 x) #s(literal 4 binary64)) #s(literal -4 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x x))) #s(literal -2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal -4 binary64)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) #s(literal -2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (fabs.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 4 binary64)) |
(/.f64 (fabs.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/8 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 1/4 binary64))) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/8 binary64))) #s(literal 4 binary64) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/4 binary64))) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (neg.f64 x) x) #s(literal 1/2 binary64) #s(literal 1 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 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #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 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (-.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (neg.f64 x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1/2 binary64) (neg.f64 (-.f64 #s(literal 1/2 binary64) x))) |
(-.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) x) |
(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 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)) |
(hypot.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))) |
(hypot.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))) |
(hypot.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(hypot.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(hypot.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))) |
(hypot.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))) |
(hypot.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(hypot.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) |
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (-.f64 (neg.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 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) x) #s(literal 1 binary64))) |
(+.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) (neg.f64 x)) |
Compiled 2 655 to 1 435 computations (46% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 359 | 4 | 363 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 360 | 4 | 364 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.8% | (-.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))) (*.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)))))))) |
| ▶ | 99.7% | #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)))))) |
| ▶ | 99.1% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 50 to 49 computations (2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 1614 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) 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)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 1/8 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
#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)))))))) |
(*.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 #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 (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 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 7/128 binary64) |
(-.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) |
| 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 (* 1/8 (pow x 2))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* 1/8 (pow x 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 1/8 (pow x 2)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (pow x 2) (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 (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 (+ 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 (- (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 (* 1/8 (pow x 2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* x (+ 1 (* 1/8 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ 1 (* 1/8 (pow x 2))) (*.f64 (pow.f64 x #s(literal 2 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 #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 (- (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))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) x (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* 1/8 (pow x 2)))) (+ 1 (* 1/8 (pow x 2))) 1 (* 1/8 (pow x 2)) 1/8 (pow x 2) 2 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (+ 1/8 (* 7/128 (pow x 2))) (* 7/128 (pow x 2)) 7/128 (- (sqrt (- x -1)) (sqrt (- 1 x))) (sqrt (- x -1)) (- x -1) -1 (sqrt (- 1 x)) (- 1 x)) |
| 2.0ms | x | @ | -inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) x (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* 1/8 (pow x 2)))) (+ 1 (* 1/8 (pow x 2))) 1 (* 1/8 (pow x 2)) 1/8 (pow x 2) 2 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (+ 1/8 (* 7/128 (pow x 2))) (* 7/128 (pow x 2)) 7/128 (- (sqrt (- x -1)) (sqrt (- 1 x))) (sqrt (- x -1)) (- x -1) -1 (sqrt (- 1 x)) (- 1 x)) |
| 2.0ms | x | @ | 0 | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) x (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* 1/8 (pow x 2)))) (+ 1 (* 1/8 (pow x 2))) 1 (* 1/8 (pow x 2)) 1/8 (pow x 2) 2 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (+ 1/8 (* 7/128 (pow x 2))) (* 7/128 (pow x 2)) 7/128 (- (sqrt (- x -1)) (sqrt (- 1 x))) (sqrt (- x -1)) (- x -1) -1 (sqrt (- 1 x)) (- 1 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 159 |
| 0 | 42 | 159 |
| 1 | 226 | 159 |
| 2 | 743 | 151 |
| 3 | 2349 | 151 |
| 0 | 8169 | 140 |
| 1 | 19473 | 140 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) 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)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 1/8 binary64) |
(pow.f64 x #s(literal 2 binary64)) |
#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)))))))) |
(*.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 #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 (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 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 7/128 binary64) |
(-.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) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
x |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 4 binary64)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (+.f64 x x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) x) #s(literal 2 binary64)) |
(/.f64 (*.f64 (+.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) #s(literal 4 binary64)) |
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 2 binary64) (+.f64 x x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 x x)) #s(literal 4 binary64)) |
(/.f64 (*.f64 (+.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
(neg.f64 (-.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (fabs.f64 x)) (fabs.f64 x) x) |
(fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) #s(literal -1/8 binary64) x) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) x) (*.f64 (neg.f64 x) x) x) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) x) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) x) (*.f64 x x) x) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) x) #s(literal -1 binary64) x) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal 1/8 binary64) x)) x) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x) #s(literal 1 binary64) x) |
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal -1/8 binary64) x) x) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (neg.f64 x) x) x) x) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (neg.f64 x) x) |
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) x) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(fma.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x #s(literal 0 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/8 binary64) x) x) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) x) x) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64)) |
(-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x) (neg.f64 x)) |
(-.f64 x (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) x)) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) #s(literal 0 binary64)) |
(+.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) x))) |
(+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
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(-.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(-.f64 #s(literal 1 binary64) x) |
(fabs.f64 (-.f64 x #s(literal 1 binary64))) |
(fabs.f64 (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.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) (neg.f64 x)) |
Compiled 12 271 to 5 334 computations (56.5% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 349 | 3 | 1 352 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 1 351 | 5 | 1 356 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 8.8% | (-.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)) |
| ▶ | 99.8% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) x)) |
| ▶ | 99.7% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| ✓ | 99.1% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 58 to 57 computations (1.7% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 907 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
x |
(-.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) x) |
(*.f64 (*.f64 x x) 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)) |
(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) |
| 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 (- (+ (+ (* (* x x) 1/8) 1) 1) 1) #s(literal 1 binary64)) |
#s(approx (- (+ (+ (* (* x x) 1/8) 1) 1) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (+ (+ (* (* x x) 1/8) 1) 1) #s(literal 2 binary64)) |
#s(approx (+ (+ (* (* x x) 1/8) 1) 1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/8 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 (+ (* 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 (- (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 (- (+ (+ (* (* x x) 1/8) 1) 1) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* x (- (+ (+ (* (* x x) 1/8) 1) 1) 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (+ (+ (* (* x x) 1/8) 1) 1) 1) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- (+ (+ (* (* x x) 1/8) 1) 1) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (+ (+ (* (* x x) 1/8) 1) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 2 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 #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 | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (- (+ (+ (* (* x x) 1/8) 1) 1) 1)) x (- (+ (+ (* (* x x) 1/8) 1) 1) 1) (+ (+ (* (* x x) 1/8) 1) 1) (+ (* (* x x) 1/8) 1) (* x x) 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 7/128) |
| 2.0ms | x | @ | 0 | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (- (+ (+ (* (* x x) 1/8) 1) 1) 1)) x (- (+ (+ (* (* x x) 1/8) 1) 1) 1) (+ (+ (* (* x x) 1/8) 1) 1) (+ (* (* x x) 1/8) 1) (* x x) 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 7/128) |
| 2.0ms | x | @ | inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (- (+ (+ (* (* x x) 1/8) 1) 1) 1)) x (- (+ (+ (* (* x x) 1/8) 1) 1) 1) (+ (+ (* (* x x) 1/8) 1) 1) (+ (* (* x x) 1/8) 1) (* x x) 1/8 1 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (* (* x x) x) 1/8) x) (* (* x x) x) (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 7/128) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 138 |
| 0 | 34 | 127 |
| 1 | 211 | 119 |
| 2 | 695 | 111 |
| 3 | 3062 | 111 |
| 0 | 8683 | 110 |
| 1 | 15484 | 110 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
x |
(-.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) x) |
(*.f64 (*.f64 x x) 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)) |
(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) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(neg.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) x)) x)) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) x) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) x) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 x) x)) (fabs.f64 x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 x) x)) (fabs.f64 x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (fabs.f64 x) x)) (fabs.f64 x) x) |
(fma.f64 (*.f64 x (*.f64 (fabs.f64 x) #s(literal 1/8 binary64))) (fabs.f64 x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 x (*.f64 (fabs.f64 x) #s(literal 1/8 binary64))) (fabs.f64 x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x (*.f64 (fabs.f64 x) #s(literal 1/8 binary64))) (fabs.f64 x) x) |
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (*.f64 (fabs.f64 x) x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (*.f64 (fabs.f64 x) x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (*.f64 (fabs.f64 x) x) x) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 (neg.f64 x) x) x) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/8 binary64)) (fabs.f64 x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/8 binary64)) (fabs.f64 x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/8 binary64)) (fabs.f64 x) x) |
(fma.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) #s(literal 1/8 binary64)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) #s(literal 1/8 binary64)) x) |
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) x) |
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(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x) |
(fma.f64 (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x)) (neg.f64 x) x) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.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 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 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 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 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) (*.f64 #s(literal 1/8 binary64) x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.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 7/128 binary64) x) (*.f64 x (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #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) x 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 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x))) |
(fma.f64 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 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 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) #s(literal 7/128 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(fma.f64 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) x) (*.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(fma.f64 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 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 (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x)) x) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 #s(literal -7/128 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(fma.f64 (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(fma.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x)) x) |
(fma.f64 (neg.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 (neg.f64 x) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 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 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (*.f64 #s(literal 7/128 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) x) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) 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 (*.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 7/128 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 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 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 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 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal 7/128 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 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 (*.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 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 x (*.f64 (*.f64 #s(literal 7/128 binary64) x) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(fma.f64 x (*.f64 (*.f64 x x) (*.f64 #s(literal 7/128 binary64) (*.f64 x x))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 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 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 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(fma.f64 x (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.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)) (neg.f64 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 x (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) |
(+.f64 (*.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)) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 7/128 binary64)) (*.f64 x x)) (neg.f64 x))) |
(+.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(neg.f64 (fma.f64 #s(literal -7/128 binary64) (*.f64 x x) #s(literal -1/8 binary64))) |
(fma.f64 (*.f64 #s(literal 7/128 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 7/128 binary64)) (fabs.f64 x) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 #s(literal -7/128 binary64) x) (neg.f64 x) #s(literal 1/8 binary64)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 #s(literal 7/128 binary64) x) x #s(literal 1/8 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 7/128 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 #s(literal -7/128 binary64) x) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) |
(fma.f64 x (*.f64 #s(literal 7/128 binary64) x) #s(literal 1/8 binary64)) |
(-.f64 (*.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal -1/8 binary64)) |
(-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -7/128 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 7/128 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -7/128 binary64) x)) x)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (*.f64 x x))) |
#s(literal 7/128 binary64) |
Compiled 4 651 to 1 866 computations (59.9% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 516 | 1 | 517 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 2 | 2 |
| Total | 517 | 5 | 522 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 8.8% | (-.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)) |
| ✓ | 99.8% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) x)) |
| ▶ | 99.7% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ✓ | 99.1% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 59 to 58 computations (1.7% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 118 | 731 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
x |
(-.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(literal -1 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 (- (- (+ (* 1/8 (* x x)) 1) -1) 1) #s(literal 1 binary64)) |
#s(approx (- (- (+ (* 1/8 (* x x)) 1) -1) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (- (+ (* 1/8 (* x x)) 1) -1) #s(literal 2 binary64)) |
#s(approx (- (+ (* 1/8 (* x x)) 1) -1) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 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 (* x (- (- (+ (* 1/8 (* x x)) 1) -1) 1)) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (* x (- (- (+ (* 1/8 (* x x)) 1) -1) 1)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (- (+ (* 1/8 (* x x)) 1) -1) 1) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (- (- (+ (* 1/8 (* x x)) 1) -1) 1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (+ (* 1/8 (* x x)) 1) -1) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 2 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)))))))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (- (- (+ (* 1/8 (* x x)) 1) -1) 1)) x (- (- (+ (* 1/8 (* x x)) 1) -1) 1) (- (+ (* 1/8 (* x x)) 1) -1) (+ (* 1/8 (* x x)) 1) 1/8 (* x x) 1 -1) |
| 1.0ms | x | @ | inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (- (- (+ (* 1/8 (* x x)) 1) -1) 1)) x (- (- (+ (* 1/8 (* x x)) 1) -1) 1) (- (+ (* 1/8 (* x x)) 1) -1) (+ (* 1/8 (* x x)) 1) 1/8 (* x x) 1 -1) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (- (- (+ (* 1/8 (* x x)) 1) -1) 1)) x (- (- (+ (* 1/8 (* x x)) 1) -1) 1) (- (+ (* 1/8 (* x x)) 1) -1) (+ (* 1/8 (* x x)) 1) 1/8 (* x x) 1 -1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 65 |
| 0 | 21 | 56 |
| 1 | 142 | 52 |
| 2 | 468 | 52 |
| 3 | 1840 | 52 |
| 0 | 8117 | 51 |
| 1 | 15974 | 51 |
| 1× | saturated |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (-.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
x |
(-.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) x)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (neg.f64 x) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) x (neg.f64 x)) |
(fma.f64 #s(literal -1 binary64) x (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) x)) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) (neg.f64 x)) |
(fma.f64 x #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) x)) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 x (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x)) |
(-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) x) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) x) (*.f64 #s(literal 1 binary64) x)) |
(-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) x) x) |
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) x)) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) x) (neg.f64 x)) |
(+.f64 (neg.f64 x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) x)) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 x #s(literal 0 binary64))) |
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) x) (*.f64 #s(literal 0 binary64) x)) |
x |
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64) #s(literal 4 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) (E.f64) (E.f64)) (E.f64)) |
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (E.f64) (E.f64)) (E.f64)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (E.f64) (E.f64)) (E.f64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) (E.f64)) (E.f64)) (E.f64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) (/.f64 #s(literal 1 binary64) (E.f64))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 8 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal -4 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (+.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal -2 binary64) (-.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 8 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 4 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 8 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 4 binary64)) |
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(-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(-.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal -2 binary64))) |
(-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x (/.f64 (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) #s(literal 4 binary64))) |
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 2 binary64)) |
(+.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
(+.f64 (/.f64 (+.f64 (cosh.f64 #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 (E.f64) (/.f64 #s(literal 1 binary64) (E.f64))) (-.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (E.f64))) #s(literal 4 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) x) x #s(literal -1 binary64))) |
(+.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
(+.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 2 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1 binary64)) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 2 binary64))) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) x)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) |
#s(literal 1/8 binary64) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x))))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x)) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x)))) |
(*.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 x x) |
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 x x) (*.f64 x x))) |
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x)))) |
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x))) |
(fabs.f64 (*.f64 x (fabs.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x))) |
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x)) |
(fabs.f64 (*.f64 (fabs.f64 x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
Compiled 3 126 to 1 571 computations (49.7% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 332 | 0 | 332 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 4 | 4 |
| Total | 332 | 5 | 337 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 8.8% | (-.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)) |
| ✓ | 99.8% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) x)) |
| ✓ | 99.7% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
| ✓ | 99.1% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 129 to 107 computations (17.1% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) 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))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
#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)) |
#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)))))))) |
| 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)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 9 to 8 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) 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))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/8 binary64) x)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 9 to 8 computations (11.1% 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) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 99.1% | 1 | x |
Compiled 9 to 8 computations (11.1% saved)
| 1× | done |
Compiled 30 to 17 computations (43.3% saved)
(negabs x)
Compiled 108 to 92 computations (14.8% saved)
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