Hyperbolic arcsine
Time bar (total: 3.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 25% | 25% | 75% | 0% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 4 |
| 62.5% | 62.5% | 37.5% | 0% | 0% | 0% | 0% | 5 |
| 68.8% | 68.7% | 31.2% | 0% | 0% | 0% | 0% | 6 |
| 71.9% | 71.8% | 28.1% | 0% | 0% | 0% | 0% | 7 |
| 73.4% | 73.4% | 26.5% | 0% | 0% | 0% | 0% | 8 |
| 74.2% | 74.2% | 25.8% | 0% | 0% | 0% | 0% | 9 |
| 74.6% | 74.6% | 25.4% | 0% | 0% | 0% | 0% | 10 |
| 74.8% | 74.8% | 25.2% | 0% | 0% | 0% | 0% | 11 |
| 74.9% | 74.9% | 25.1% | 0% | 0% | 0% | 0% | 12 |
Compiled 11 to 7 computations (36.4% saved)
| 838.0ms | 1 789× | 2 | valid |
| 794.0ms | 4 351× | 1 | valid |
| 124.0ms | 2 116× | 0 | valid |
ival-log: 772.0ms (51.8% of total)ival-hypot: 536.0ms (36% of total)adjust: 117.0ms (7.9% of total)ival-add!: 65.0ms (4.4% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 30 |
| 1 | 31 | 28 |
| 2 | 60 | 28 |
| 3 | 89 | 28 |
| 4 | 162 | 28 |
| 5 | 408 | 28 |
| 6 | 2658 | 28 |
| 7 | 6728 | 28 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 16.2% | (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 x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (+ (* x x) 1) #s(hole binary64 1)) |
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2)))) |
#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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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) |
| 2.0ms | x | @ | 0 | ((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 899 |
| 0 | 184 | 657 |
| 1 | 1062 | 645 |
| 0 | 8176 | 607 |
| 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 x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (+ (* x x) 1) #s(hole binary64 1)) |
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2)))) |
#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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
| Outputs |
|---|
(asinh.f64 x) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) |
(+.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
x |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(cosh.f64 (neg.f64 (asinh.f64 x))) |
(cosh.f64 (asinh.f64 (neg.f64 x))) |
(cosh.f64 (asinh.f64 (fabs.f64 x))) |
(cosh.f64 (asinh.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) |
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (*.f64 x x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x))) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.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)))) |
#s(literal 1 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx x x) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* x x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (+.f64 x x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (/.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)))) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (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 x x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) |
#s(approx (+ (* x x) 1) (*.f64 x x)) |
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.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 (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #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 (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #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))) (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
Compiled 1 287 to 635 computations (50.7% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 130 | 5 | 135 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 131 | 5 | 136 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 28.1% | (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) |
| ▶ | 28.1% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| ▶ | 12.4% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))) |
| ▶ | 99.8% | (asinh.f64 x) |
| ▶ | 47.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
Compiled 76 to 76 computations (0% saved)
| Inputs |
|---|
(asinh.f64 x) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(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 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (asinh x) #s(hole binary64 x)) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh 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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) -1 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2) |
| 1.0ms | x | @ | inf | ((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) -1 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2) |
| 1.0ms | x | @ | 0 | ((asinh x) x (log (+ x (sqrt (+ (* x x) 1)))) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) -1 (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (/ -1/2 x) -1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 1185 |
| 0 | 199 | 906 |
| 1 | 1088 | 880 |
| 0 | 8153 | 842 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(asinh.f64 x) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(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 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
#s(approx (asinh x) #s(hole binary64 x)) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (/ -1/2 x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh 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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) 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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
| Outputs |
|---|
(asinh.f64 x) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (neg.f64 (fma.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 (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) (neg.f64 x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) |
(neg.f64 (-.f64 #s(literal -1 binary64) x)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) (neg.f64 x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (+.f64 #s(literal 1 binary64) (neg.f64 x))))) |
(-.f64 x #s(literal -1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) |
(-.f64 (log.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x)))) (log.f64 (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)))))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) |
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) (*.f64 x x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) |
(/.f64 (fma.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x) (*.f64 (*.f64 x x) x)) (fma.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x) (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x)))) (neg.f64 (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 (*.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) |
(/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x))) (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 (/.f64 (*.f64 x x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) 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 (/.f64 (*.f64 (*.f64 x x) x) (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 (*.f64 (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(approx (sqrt (+ (* x x) 1)) x)) #s(approx (sqrt (+ (* x x) 1)) x)) (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) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 x)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (- x -1) #s(literal 1 binary64)) |
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.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)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (/ -1/2 x) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (+.f64 x x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (/.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)))) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (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 x x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (/.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)))) (-.f64 (+.f64 (log.f64 (+.f64 x x)) (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 x x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) |
#s(approx (- x -1) x) |
#s(approx (- x -1) (fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.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 (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.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 (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (/.f64 #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 (+ x (sqrt (+ (* x x) 1))) (neg.f64 (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #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))) (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
Compiled 958 to 361 computations (62.3% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 78 | 1 | 79 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 78 | 6 | 84 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.1% | (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) |
| ✓ | 28.1% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | 12.4% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))) |
| ▶ | 9.4% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))) |
| ✓ | 99.8% | (asinh.f64 x) |
| ✓ | 47.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
Compiled 49 to 49 computations (0% saved)
| Inputs |
|---|
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)) |
#s(approx (- x -1) x) |
x |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) x) |
| 0.0ms | x | @ | inf | ((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) x) |
| 0.0ms | x | @ | 0 | ((log (+ x (sqrt (+ (* x x) 1)))) (+ x (sqrt (+ (* x x) 1))) (- x -1) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 638 |
| 0 | 141 | 461 |
| 1 | 873 | 446 |
| 0 | 8284 | 424 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)) |
#s(approx (- x -1) x) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 1)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx (- x -1) #s(hole binary64 1)) |
#s(approx (- x -1) #s(hole binary64 (+ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#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))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#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 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (- x -1) #s(hole binary64 x)) |
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x))))) |
#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 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)))) |
| Outputs |
|---|
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x)) |
#s(approx (- x -1) x) |
x |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) #s(literal 1 binary64)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
#s(approx (- x -1) #s(literal 1 binary64)) |
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64))) |
#s(approx x x) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (+.f64 x x))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (-.f64 (log.f64 (+.f64 x x)) (/.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)))) (-.f64 (+.f64 (-.f64 (log.f64 (+.f64 x x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (+.f64 x x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (+.f64 #s(literal 2 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) |
#s(approx (- x -1) x) |
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.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 (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 5/96 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x 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))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x)) |
#s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (-.f64 (-.f64 (/.f64 #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)) |
Compiled 311 to 125 computations (59.8% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 24 | 0 | 24 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 24 | 6 | 30 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 28.1% | (log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) |
| ✓ | 28.1% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | 12.4% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))) |
| ✓ | 9.4% | (log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))) |
| ✓ | 99.8% | (asinh.f64 x) |
| ✓ | 47.3% | #s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
Compiled 91 to 80 computations (12.1% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) |
(asinh.f64 x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1/2 binary64) x))) |
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(asinh.f64 x) |
3 calls:
| 6.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 2.0ms | x |
| 2.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 99.8% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 99.8% | 1 | x |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
(log.f64 (+.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) |
3 calls:
| 2.0ms | x |
| 1.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 1.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 2 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 72.7% | 2 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 73.2% | 2 | x |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64)))) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 1.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.0% | 2 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 54.0% | 2 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 54.5% | 2 | x |
Compiled 14 to 14 computations (0% saved)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
(log.f64 #s(approx (+ x (sqrt (+ (* x x) 1))) #s(approx (- x -1) x))) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.5% | 2 | x |
Compiled 1 to 1 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
| Outputs |
|---|
#s(approx (log (+ x (sqrt (+ (* x x) 1)))) x) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 1.0ms | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.3% | 1 | (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 47.3% | 1 | (log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 47.3% | 1 | x |
Compiled 14 to 14 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 4.781686161890027e-6 | 1.5383441846892842 |
| 7.0ms | 144× | 0 | valid |
Compiled 156 to 171 computations (-9.6% saved)
ival-hypot: 2.0ms (46.8% of total)ival-log: 1.0ms (23.4% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.5383441846892842 | 219560913470.65466 |
| 8.0ms | 160× | 0 | valid |
Compiled 192 to 209 computations (-8.9% saved)
ival-hypot: 3.0ms (63.5% of total)ival-log: 1.0ms (21.2% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 6.0ms | 1.5383441846892842 | 219560913470.65466 |
| 3.0ms | 64× | 0 | valid |
Compiled 202 to 219 computations (-8.4% saved)
ival-log: 1.0ms (53% of total)ival-hypot: 1.0ms (53% of total)adjust: 0.0ms (0% of total)ival-add!: 0.0ms (0% of total)| 1× | done |
Compiled 37 to 30 computations (18.9% saved)
Compiled 62 to 51 computations (17.7% saved)
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