
Time bar (total: 2.2s)
| 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)
| 555.0ms | 3 403× | 2 | valid |
| 524.0ms | 4 718× | 1 | valid |
| 5.0ms | 135× | 0 | valid |
ival-sqrt: 368.0ms (42.3% of total)adjust: 250.0ms (28.7% of total)ival-add!: 151.0ms (17.3% of total)ival-sub!: 101.0ms (11.6% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 27 |
| 1 | 47 | 27 |
| 2 | 81 | 27 |
| 3 | 199 | 27 |
| 4 | 797 | 27 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.4% | (-.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 | 67 | 25 |
| 0 | 604 | 25 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))))) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(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)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) |
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(fabs.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.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)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) |
(-.f64 #s(literal 1 binary64) x) |
(fabs.f64 (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
Compiled 1 457 to 566 computations (61.2% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 137 | 6 | 143 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 138 | 6 | 144 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 8.4% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 8.0% | (-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 8.5% | (*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
| ▶ | 99.5% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
| 99.5% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.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 142 to 136 computations (4.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 2871 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 1/8 binary64) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 7/128 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #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 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) #s(literal 1 binary64)) |
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2))))) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (+ 1/8 (* 7/128 (pow x 2))) #s(literal 1/8 binary64)) |
#s(approx (+ 1/8 (* 7/128 (pow x 2))) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* 7/128 (pow x 2)) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) x))))) |
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))) |
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) |
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/8 binary64) x) #s(literal 1/2 binary64))))) |
#s(approx (sqrt (- 1 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/16 binary64) x) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))))) |
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x))) |
#s(approx (+ 1 (/ 1 x)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (+ 1 (/ 1 x)) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x)))) |
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)))))) |
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -3/8 binary64) x))) #s(literal 1/2 binary64)))))) |
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))))) |
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64))))) |
#s(approx (/ (- 1 x) (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))) |
#s(approx (/ (- 1 x) (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))) |
#s(approx (/ (- 1 x) (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) 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 (* (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 (+ 1 (/ 1 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))) |
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) |
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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 binary64) (sqrt.f64 #s(literal -1 binary64))))))))) |
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 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 binary64) (sqrt.f64 #s(literal -1 binary64)))))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) |
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (-.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))) |
#s(approx (sqrt (/ (- 1 x) (- x -1))) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) |
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))))) |
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))))) |
#s(approx (/ (- 1 x) (- x -1)) #s(literal -1 binary64)) |
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) |
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 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 (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 7/128 binary64))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (sqrt (- x -1)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) |
#s(approx (sqrt (- 1 x)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))))) |
#s(approx (- 1 x) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))))))) |
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))) |
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))) |
#s(approx (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal -1 binary64)))) x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))))))) |
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (- 1 (sqrt (/ (- 1 x) (- x -1)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))) |
#s(approx (sqrt (/ (- 1 x) (- x -1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (*.f64 x (sqrt.f64 #s(literal -1 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)))) |
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64))) |
#s(approx (/ (- 1 x) (- x -1)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) x)) #s(literal 2 binary64)) x)) #s(literal 1 binary64))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) 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) 2 (+ 1/8 (* 7/128 (pow x 2))) 1/8 (* 7/128 (pow x 2)) 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (- x -1)) (sqrt (- 1 x))) (sqrt (- x -1)) (- x -1) -1 (sqrt (- 1 x)) (- 1 x) (- (sqrt (* (+ 1 (/ 1 x)) x)) (sqrt (- 1 x))) (sqrt (* (+ 1 (/ 1 x)) x)) (* (+ 1 (/ 1 x)) x) (+ 1 (/ 1 x)) (/ 1 x) (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1))) |
| 4.0ms | x | @ | -inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) 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) 2 (+ 1/8 (* 7/128 (pow x 2))) 1/8 (* 7/128 (pow x 2)) 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (- x -1)) (sqrt (- 1 x))) (sqrt (- x -1)) (- x -1) -1 (sqrt (- 1 x)) (- 1 x) (- (sqrt (* (+ 1 (/ 1 x)) x)) (sqrt (- 1 x))) (sqrt (* (+ 1 (/ 1 x)) x)) (* (+ 1 (/ 1 x)) x) (+ 1 (/ 1 x)) (/ 1 x) (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1))) |
| 2.0ms | x | @ | 0 | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (* x (+ 1 (* (pow x 2) (+ 1/8 (* 7/128 (pow x 2)))))) 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) 2 (+ 1/8 (* 7/128 (pow x 2))) 1/8 (* 7/128 (pow x 2)) 7/128 (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (- (sqrt (- x -1)) (sqrt (- 1 x))) (sqrt (- x -1)) (- x -1) -1 (sqrt (- 1 x)) (- 1 x) (- (sqrt (* (+ 1 (/ 1 x)) x)) (sqrt (- 1 x))) (sqrt (* (+ 1 (/ 1 x)) x)) (* (+ 1 (/ 1 x)) x) (+ 1 (/ 1 x)) (/ 1 x) (* (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (- x -1))) (- 1 (sqrt (/ (- 1 x) (- x -1)))) (sqrt (/ (- 1 x) (- x -1))) (/ (- 1 x) (- x -1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 195 |
| 0 | 53 | 177 |
| 1 | 287 | 173 |
| 0 | 2628 | 165 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
x |
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(literal 1 binary64) |
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))) |
(pow.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(literal 1/8 binary64) |
(*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))) |
#s(literal 7/128 binary64) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(-.f64 #s(literal 1 binary64) x) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)) x)) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) |
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)))) (-.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)))))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x) 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 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x x) |
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
(fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) |
(fma.f64 x (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) x) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) |
(-.f64 x (*.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x)) |
(-.f64 x (neg.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x)) x) |
(+.f64 x (*.f64 (*.f64 x (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x))) |
x |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x)))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) x) x) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) |
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(/.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
(sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
(fabs.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))) |
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(pow.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64))) x) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) |
(neg.f64 (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) x) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) |
(fabs.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64)))) |
Compiled 8 278 to 3 154 computations (61.9% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 785 | 2 | 787 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 789 | 4 | 793 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 8.4% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 8.0% | (-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.5% | #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)) |
| ✓ | 99.1% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 42 to 40 computations (4.8% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 233 | 1488 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal 7/128 binary64) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 x x) x) |
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) 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 (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(approx (+ (* 7/128 (* x x)) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (sqrt (* (- (/ 1 x) -1) x)) #s(literal 1 binary64)) |
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) |
#s(approx (sqrt (* (- (/ 1 x) -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) -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) -1) x) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 x) -1) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (- (/ 1 x) -1) (/.f64 (+.f64 #s(literal 1 binary64) x) 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 (+ (* (+ (* 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) -1) x)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (sqrt (* (- (/ 1 x) -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) -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) -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) -1) x) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
#s(approx (- (/ 1 x) -1) (+.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 (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 7/128 binary64))))) |
#s(approx (sqrt (* (- (/ 1 x) -1) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) |
#s(approx (sqrt (* (- (/ 1 x) -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) -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) -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))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 7/128 (* x x) x 1/8 (* (* x x) x) (- (sqrt (* (- (/ 1 x) -1) x)) (sqrt (- 1 x))) (sqrt (* (- (/ 1 x) -1) x)) (* (- (/ 1 x) -1) x) (- (/ 1 x) -1) (/ 1 x) 1 -1 (sqrt (- 1 x)) (- 1 x)) |
| 2.0ms | x | @ | inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 7/128 (* x x) x 1/8 (* (* x x) x) (- (sqrt (* (- (/ 1 x) -1) x)) (sqrt (- 1 x))) (sqrt (* (- (/ 1 x) -1) x)) (* (- (/ 1 x) -1) x) (- (/ 1 x) -1) (/ 1 x) 1 -1 (sqrt (- 1 x)) (- 1 x)) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 7/128 (* x x) x 1/8 (* (* x x) x) (- (sqrt (* (- (/ 1 x) -1) x)) (sqrt (- 1 x))) (sqrt (* (- (/ 1 x) -1) x)) (* (- (/ 1 x) -1) x) (- (/ 1 x) -1) (/ 1 x) 1 -1 (sqrt (- 1 x)) (- 1 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 98 |
| 0 | 35 | 92 |
| 1 | 183 | 80 |
| 0 | 1806 | 80 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
(fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal 7/128 binary64) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 x x) x) |
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) 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))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x)) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) x)) x) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) x)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (+.f64 (/.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 x (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 7/128 binary64) #s(literal 1/8 binary64)) x) (*.f64 x x)) (neg.f64 x))))) |
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(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.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 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(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)))) |
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (sqrt.f64 x)) |
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x)) |
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) |
(pow.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) x) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) |
(neg.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) |
(neg.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) x x) |
(fma.f64 x (/.f64 #s(literal 1 binary64) x) x) |
(sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 x #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(fabs.f64 (-.f64 x #s(literal -1 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) x) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) x) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) |
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x)) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 x #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)))) |
(neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
#s(literal -1 binary64) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (sqrt.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
(sqrt.f64 (-.f64 #s(literal 1 binary64) x)) |
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.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)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) |
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(neg.f64 (+.f64 #s(literal -1 binary64) x)) |
(neg.f64 (-.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) x) |
(fabs.f64 (-.f64 #s(literal 1 binary64) x)) |
(+.f64 (neg.f64 x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 x)) |
Compiled 3 076 to 1 255 computations (59.2% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 303 | 1 | 304 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 2 | 2 |
| Total | 304 | 4 | 308 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 8.4% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 8.0% | (-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 99.5% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
| ✓ | 99.1% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 45 to 44 computations (2.2% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 126 | 749 |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 33/1024 binary64) (pow.f64 x #s(literal 2 binary64)))))))))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(approx (+ (* 7/128 (* x x)) 1/8) (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64))))) |
#s(approx (* (* x x) x) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 7/128 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 #s(literal 7/128 binary64) (pow.f64 x #s(literal 2 binary64)))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 7/128 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 3 binary64)))))))) (+.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))))))))) |
#s(approx (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 2 binary64)))) #s(literal 7/128 binary64))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 1/8 (* (* x x) x) (* x x) x) |
| 1.0ms | x | @ | -inf | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 1/8 (* (* x x) x) (* x x) x) |
| 1.0ms | x | @ | 0 | ((- (sqrt (+ 1 x)) (sqrt (- 1 x))) (+ (* (+ (* 7/128 (* x x)) 1/8) (* (* x x) x)) x) (+ (* 7/128 (* x x)) 1/8) 1/8 (* (* x x) x) (* x x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 61 |
| 0 | 21 | 55 |
| 1 | 123 | 55 |
| 2 | 1162 | 55 |
| 0 | 8546 | 52 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x) |
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x)) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(*.f64 (+.f64 (/.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))) |
(*.f64 (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (+.f64 (/.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x) (*.f64 x (*.f64 (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) (pow.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 x (*.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))))))) |
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(-.f64 x (*.f64 (neg.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) x))) |
(-.f64 x (neg.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x)))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x)))) (/.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 x x) x)) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x)) (/.f64 (neg.f64 (*.f64 x x)) (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))))) |
(+.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (neg.f64 (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) |
(+.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) x)) x (*.f64 x (-.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))))) (fma.f64 (*.f64 x x) x (pow.f64 (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x)) #s(literal 3 binary64)))))) |
(+.f64 x (*.f64 (*.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) x) (*.f64 x x))) |
#s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(fabs.f64 (*.f64 (*.f64 x x) x)) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x)) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x)) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (*.f64 (*.f64 (*.f64 x x) x) x)) |
(fabs.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (neg.f64 (*.f64 x x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
Compiled 4 536 to 760 computations (83.2% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 184 | 0 | 184 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 184 | 4 | 188 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 8.4% | (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 8.0% | (-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 99.5% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
| ✓ | 99.1% | #s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
Compiled 122 to 102 computations (16.4% saved)
| Inputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) x) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 (fma.f64 #s(literal 7/128 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) |
#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 |
|---|---|---|
| 99.5% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 99.5% | 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 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(approx (- (sqrt (+ 1 x)) (sqrt (- 1 x))) (fma.f64 #s(approx (+ (* 7/128 (* x x)) 1/8) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) x) x)) |
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 |
|---|---|---|
| 99.5% | 1 | (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) |
| 99.5% | 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:
| 6.0ms | 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 29 to 23 computations (20.7% saved)
(negabs x)
Compiled 119 to 110 computations (7.6% saved)
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