Rust f64::acosh
Time bar (total: 1.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 6 to 5 computations (16.7% saved)
| 449.0ms | 8 256× | 0 | valid |
ival-acosh: 196.0ms (99.3% of total)adjust: 2.0ms (1% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1× | saturated |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.4% | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
x |
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (- (* x x) 1) #s(hole binary64 -1)) |
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1) |
| 2.0ms | x | @ | -inf | ((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1) |
| 2.0ms | x | @ | inf | ((log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) x (sqrt (- (* x x) 1)) (- (* x x) 1) (* x x) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 988 |
| 0 | 209 | 724 |
| 0 | 1178 | 694 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
x |
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (- (* x x) 1) #s(hole binary64 -1)) |
#s(approx (- (* x x) 1) #s(hole binary64 (- (pow x 2) 1))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (* x x) 1) #s(hole binary64 (pow x 2))) |
#s(approx (- (* x x) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))) |
| Outputs |
|---|
(acosh.f64 x) |
(log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))))) |
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) x) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
x |
(pow.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(sinh.f64 (acosh.f64 x)) |
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 x #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(literal 1 binary64) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx x x) |
#s(approx (sqrt (- (* x x) 1)) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (- (* x x) 1) #s(literal -1 binary64)) |
#s(approx (- (* x x) 1) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (sqrt (- (* x x) 1)) x) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (- (* x x) 1) (*.f64 x x)) |
#s(approx (- (* x x) 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
#s(approx (sqrt (- (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
Compiled 695 to 319 computations (54.1% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 57 | 3 | 60 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 58 | 3 | 61 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.4% | (log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))) |
| ▶ | 98.6% | (log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x))) |
| ▶ | 99.7% | (acosh.f64 x) |
Compiled 18 to 18 computations (0% saved)
| Inputs |
|---|
(acosh.f64 x) |
x |
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x))) |
(+.f64 x #s(approx (sqrt (- (* x x) 1)) x)) |
#s(approx (sqrt (- (* x x) 1)) x) |
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(+.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (acosh x) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (sqrt -1))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (+ x (sqrt -1)))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (sqrt -1))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (- (exp (* (log x) 2)) 1) #s(hole binary64 -1)) |
#s(approx (- (exp (* (log x) 2)) 1) #s(hole binary64 (- (pow x 2) 1))) |
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* 2 x))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (exp (* (log x) 2)) 1) #s(hole binary64 (pow x 2))) |
#s(approx (- (exp (* (log x) 2)) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2)))))) |
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (log (/ -1 x))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 59.0ms | x | @ | 0 | ((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) (+ x (sqrt (- (exp (* (log x) 2)) 1))) (sqrt (- (exp (* (log x) 2)) 1)) (- (exp (* (log x) 2)) 1) (* (log x) 2) (log x) 2) |
| 48.0ms | x | @ | -inf | ((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) (+ x (sqrt (- (exp (* (log x) 2)) 1))) (sqrt (- (exp (* (log x) 2)) 1)) (- (exp (* (log x) 2)) 1) (* (log x) 2) (log x) 2) |
| 7.0ms | x | @ | inf | ((acosh x) x (log (+ x (sqrt (- (* x x) 1)))) (+ x (sqrt (- (* x x) 1))) (sqrt (- (* x x) 1)) (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) (+ x (sqrt (- (exp (* (log x) 2)) 1))) (sqrt (- (exp (* (log x) 2)) 1)) (- (exp (* (log x) 2)) 1) (* (log x) 2) (log x) 2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 274 | 2236 |
| 0 | 287 | 1674 |
| 0 | 1315 | 1604 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(acosh.f64 x) |
x |
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x))) |
(+.f64 x #s(approx (sqrt (- (* x x) 1)) x)) |
#s(approx (sqrt (- (* x x) 1)) x) |
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(+.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 2 binary64) |
#s(approx (acosh x) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (sqrt -1))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ x (sqrt -1)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (sqrt -1))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (log (sqrt -1)))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (/ x (sqrt -1))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (sqrt -1))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (+ x (sqrt -1)))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (sqrt -1))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))))) |
#s(approx (- (exp (* (log x) 2)) 1) #s(hole binary64 -1)) |
#s(approx (- (exp (* (log x) 2)) 1) #s(hole binary64 (- (pow x 2) 1))) |
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (log x)))) |
#s(approx (log x) #s(hole binary64 (log x))) |
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (acosh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* 2 x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* 2 x))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* x (- 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (- (exp (* (log x) 2)) 1) #s(hole binary64 (pow x 2))) |
#s(approx (- (exp (* (log x) 2)) 1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2)))))) |
#s(approx (* (log x) 2) #s(hole binary64 (* -2 (log (/ 1 x))))) |
#s(approx (log x) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (log (/ -1 x))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))))) |
#s(approx (acosh x) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))) |
#s(approx (sqrt (- (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log -1/2) (log (/ -1 x))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))))) |
#s(approx (log (+ x (sqrt (- (exp (* (log x) 2)) 1)))) #s(hole binary64 (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (/ 1/2 x))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)))) |
#s(approx (+ x (sqrt (- (exp (* (log x) 2)) 1))) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))))) |
#s(approx (sqrt (- (exp (* (log x) 2)) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (* (log x) 2) #s(hole binary64 (* 2 (+ (log -1) (* -1 (log (/ -1 x))))))) |
#s(approx (log x) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 x)))))) |
| Outputs |
|---|
(acosh.f64 x) |
(log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) x)) |
x |
(log.f64 (+.f64 #s(approx (sqrt (- (* x x) 1)) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x))) (-.f64 x #s(approx (sqrt (- (* x x) 1)) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(approx (sqrt (- (* x x) 1)) x) #s(approx (sqrt (- (* x x) 1)) x)) (*.f64 x #s(approx (sqrt (- (* x x) 1)) x))))) |
(+.f64 #s(approx (sqrt (- (* x x) 1)) x) x) |
(+.f64 x #s(approx (sqrt (- (* x x) 1)) x)) |
#s(approx (sqrt (- (* x x) 1)) x) |
(acosh.f64 x) |
(log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) (-.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))))) |
(+.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) x) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(pow.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(sinh.f64 (acosh.f64 x)) |
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (log.f64 x)) |
(+.f64 (log.f64 x) (log.f64 x)) |
(log.f64 (*.f64 x x)) |
(log.f64 x) |
#s(literal 2 binary64) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx x x) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x (log.f64 (sqrt.f64 #s(literal -1 binary64))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x #s(literal 1 binary64)) x (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (sqrt.f64 #s(literal -1 binary64))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (pow.f64 #s(literal -1 binary64) #s(literal 5/2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x) (sqrt.f64 #s(literal -1 binary64)))) |
#s(approx (- (exp (* (log x) 2)) 1) #s(literal -1 binary64)) |
#s(approx (- (exp (* (log x) 2)) 1) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (* (log x) 2) (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (log x) (log.f64 x)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (sqrt (- (* x x) 1)) x) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (neg.f64 (neg.f64 (log.f64 x))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (neg.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 x x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (-.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/96 binary64) (*.f64 x x)) #s(literal 3/32 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (+.f64 x x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 2 binary64)) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (*.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (sqrt (- (* x x) 1)) x) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) |
#s(approx (- (exp (* (log x) 2)) 1) (*.f64 x x)) |
#s(approx (- (exp (* (log x) 2)) 1) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) |
#s(approx (* (log x) 2) (*.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)))) |
#s(approx (log x) (neg.f64 (neg.f64 (log.f64 x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
#s(approx (sqrt (- (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
#s(approx (log (+ x (sqrt (- (* x x) 1)))) (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))) (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x))) #s(literal 1/2 binary64)) x))) |
#s(approx (+ x (sqrt (- (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 x x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
#s(approx (sqrt (- (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x))) #s(literal 1 binary64)))) |
#s(approx (sqrt (- (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
#s(approx (* (log x) 2) (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64))) #s(literal 2 binary64))) |
#s(approx (log x) (+.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (log.f64 #s(literal -1 binary64)))) |
Compiled 812 to 363 computations (55.3% saved)
3 alts after pruning (0 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 69 | 0 | 69 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 0 | 0 |
| Total | 69 | 3 | 72 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.4% | (log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))) |
| ✓ | 98.6% | (log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x))) |
| ✓ | 99.7% | (acosh.f64 x) |
Compiled 40 to 40 computations (0% saved)
Total -32.5b remaining (-16300%)
Threshold costs -32.5b (-16300%)
| Inputs |
|---|
(acosh.f64 x) |
(log.f64 (+.f64 x #s(approx (sqrt (- (* x x) 1)) x))) |
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(log.f64 (+.f64 x (sqrt.f64 (expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))) |
| Outputs |
|---|
(acosh.f64 x) |
3 calls:
| 11.0ms | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 2.0ms | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 99.7% | 1 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 99.7% | 1 | x |
Compiled 14 to 14 computations (0% saved)
| 1× | done |
Compiled 2 to 2 computations (0% saved)
Compiled 19 to 18 computations (5.3% saved)
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