Time bar (total: 2.7s)
1× | search |
Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
---|---|---|---|---|---|---|---|
0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 4 to 4 computations (0% saved)
308.0ms | 8 256× | 0 | valid |
ival-asinh
: 130.0ms (96.5% of total)ival-assert
: 3.0ms (2.2% of total)adjust
: 2.0ms (1.5% of total)Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
---|---|---|---|---|---|
123 | 0 | - | 1 | (-0.022870758499183953) | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
72 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
0 | 0 | - | 0 | - | #s(literal 1 binary64) |
0 | 0 | - | 0 | - | (fabs.f64 x) |
0 | 0 | - | 0 | - | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
0 | 0 | - | 0 | - | (*.f64 x x) |
0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
0 | 0 | - | 0 | - | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
0 | 0 | - | 0 | - | x |
Operator | Subexpression | Explanation | Count | |
---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 122 | 2 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 72 | 0 |
↳ | (*.f64 x x) | overflow | 72 | |
↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 72 |
Predicted + | Predicted - | |
---|---|---|
+ | 194 | 1 |
- | 0 | 61 |
Predicted + | Predicted Maybe | Predicted - | |
---|---|---|---|
+ | 194 | 1 | 0 |
- | 0 | 1 | 60 |
number | freq |
---|---|
0 | 62 |
1 | 194 |
Predicted + | Predicted Maybe | Predicted - | |
---|---|---|---|
+ | 1 | 0 | 0 |
- | 0 | 0 | 0 |
184.0ms | 96× | 2 | valid |
34.0ms | 142× | 1 | valid |
26.0ms | 274× | 0 | valid |
Compiled 114 to 31 computations (72.8% saved)
ival-fabs
: 99.0ms (44.3% of total)ival-log
: 75.0ms (33.6% of total)ival-hypot
: 19.0ms (8.5% of total)adjust
: 11.0ms (4.9% of total)ival-copysign
: 7.0ms (3.1% of total)ival-add
: 7.0ms (3.1% of total)ival-mult
: 4.0ms (1.8% of total)ival-assert
: 0.0ms (0% of total)ival-true
: 0.0ms (0% of total)exact
: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 5 | 9 |
0 | 9 | 12 |
0 | 16 | 12 |
1 | 24 | 12 |
2 | 45 | 12 |
3 | 85 | 12 |
4 | 144 | 12 |
5 | 351 | 12 |
6 | 2401 | 12 |
7 | 5914 | 12 |
0 | 8153 | 12 |
1× | iter limit |
1× | node limit |
1× | iter limit |
1× | saturated |
Inputs |
---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Outputs |
---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (-.f64 (*.f64 x x) #s(literal -1 binary64))) (fabs.f64 x))) x) |
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
Status | Accuracy | Program |
---|---|---|
▶ | 28.8% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 12 to 9 computations (25% saved)
Inputs |
---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(fabs.f64 x) |
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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (fabs x) #s(hole binary64 (fabs x))) |
#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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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 | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1) |
2.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1) |
2.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1) |
Useful iterations: 1 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 226 | 1103 |
0 | 238 | 900 |
1 | 1345 | 759 |
0 | 8449 | 759 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(fabs.f64 x) |
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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (fabs x) #s(hole binary64 (fabs x))) |
#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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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 |
---|
(copysign.f64 (asinh.f64 x) x) |
(asinh.f64 x) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))) |
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x)) |
(/.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (cosh.f64 (asinh.f64 x)) x)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (cosh.f64 (asinh.f64 x)) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))) |
(/.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x (cosh.f64 (asinh.f64 x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cosh.f64 (asinh.f64 x)))) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x (cosh.f64 (asinh.f64 x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))) |
(+.f64 (cosh.f64 (asinh.f64 x)) x) |
(+.f64 x (cosh.f64 (asinh.f64 x))) |
x |
x |
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(/.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 (+.f64 (*.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 x)) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x)))) |
(*.f64 (fabs.f64 (cosh.f64 (asinh.f64 x))) (fabs.f64 (cosh.f64 (asinh.f64 x)))) |
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x))) |
(pow.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(sqrt.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))))) (*.f64 x x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) #s(literal -1/24 binary64))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.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)) (*.f64 x x)))) |
#s(approx (fabs x) x) |
#s(approx (fabs x) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (+.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 (*.f64 (+.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)) (*.f64 x x)) #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 (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 x x) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x)) (/.f64 x x)) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x)) (/.f64 x x))) (log.f64 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (+ (* x x) 1) (*.f64 x x)) |
#s(approx (+ (* x x) 1) (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 x x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (*.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)))) x)) x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) x) #s(literal 1 binary64)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)) x) x)) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))) |
Compiled 2 211 to 632 computations (71.4% saved)
3 alts after pruning (3 fresh and 0 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 103 | 3 | 106 |
Fresh | 0 | 0 | 0 |
Picked | 1 | 0 | 1 |
Done | 0 | 0 | 0 |
Total | 104 | 3 | 107 |
Status | Accuracy | Program |
---|---|---|
▶ | 32.4% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
▶ | 24.4% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
▶ | 99.8% | (copysign.f64 (asinh.f64 x) x) |
Compiled 33 to 24 computations (27.3% saved)
Inputs |
---|
(copysign.f64 (asinh.f64 x) x) |
(asinh.f64 x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)) |
(fabs.f64 x) |
#s(approx (sqrt (+ (* x x) 1)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
(neg.f64 x) |
Outputs |
---|
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (fabs x) #s(hole binary64 (fabs 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 (neg x) #s(hole binary64 (* -1 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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (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 (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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 | ((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x)) |
1.0ms | x | @ | 0 | ((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x)) |
1.0ms | x | @ | inf | ((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x)) |
Useful iterations: 1 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 286 | 1382 |
0 | 298 | 1110 |
1 | 1736 | 978 |
0 | 8309 | 978 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(copysign.f64 (asinh.f64 x) x) |
(asinh.f64 x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)) |
(fabs.f64 x) |
#s(approx (sqrt (+ (* x x) 1)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (fabs x) #s(hole binary64 (fabs 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 (neg x) #s(hole binary64 (* -1 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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (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 (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) 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 |
---|
(copysign.f64 (asinh.f64 x) x) |
(asinh.f64 x) |
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) |
(-.f64 (log.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 x)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (log.f64 (+.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (*.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 x)))))) |
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x)) |
x |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)))) (log.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) |
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64))) (-.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))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) x)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) x))))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary64)) (*.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)) |
x |
#s(approx (sqrt (+ (* x x) 1)) x) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)) x) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)))) (log.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)) |
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))))) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x) |
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.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 (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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 (fabs x) x) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (+.f64 #s(literal 1 binary64) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))))) (*.f64 x x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (*.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) #s(literal -1/24 binary64))) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) #s(literal 1 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 x x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.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)) (*.f64 x x)))) |
#s(approx (fabs x) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* x x) 1)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (+.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 (*.f64 (+.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)) (*.f64 x x)) #s(literal 1 binary64))) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 x #s(literal 2 binary64)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 x x) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (*.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x x)) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (log.f64 x) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64))) (+.f64 (*.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 x x)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
#s(approx (log (+ (fabs 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) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))) |
#s(approx (log (+ (fabs 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) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 x x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x))) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal -1/6 binary64))) x)) x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (/.f64 (neg.f64 x) x) #s(literal 1 binary64)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x)) #s(literal 1 binary64)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x)) x) x)) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))) |
Compiled 2 583 to 510 computations (80.3% saved)
7 alts after pruning (5 fresh and 2 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 97 | 5 | 102 |
Fresh | 0 | 0 | 0 |
Picked | 1 | 2 | 3 |
Done | 0 | 0 | 0 |
Total | 98 | 7 | 105 |
Status | Accuracy | Program |
---|---|---|
✓ | 32.4% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
▶ | 22.9% | (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
✓ | 99.8% | (copysign.f64 (asinh.f64 x) x) |
▶ | 50.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) x) |
▶ | 50.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
▶ | 49.9% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
▶ | 50.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
Compiled 241 to 166 computations (31.1% saved)
Inputs |
---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
x |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) |
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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) |
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) |
(*.f64 (-.f64 (*.f64 (+.f64 (*.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)) |
(-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) |
(*.f64 #s(literal -5/112 binary64) (*.f64 x x)) |
#s(literal -5/112 binary64) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) |
#s(approx (sqrt (+ (* x x) 1)) x) |
Outputs |
---|
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (* -1/6 (* x x)) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (* 3/40 (* x x)) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40)) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2))))) |
#s(approx (* -5/112 (* x x)) #s(hole binary64 (* -5/112 (pow x 2)))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 1)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 3/40 (pow x 5)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 3/40 (pow x 4)))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* 3/40 (pow x 4)))) |
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -5/112 (pow x 7)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -5/112 (pow x 6)))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -5/112 (pow x 6)))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* -5/112 (pow x 4)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* -5/112 (pow x 4)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) 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 (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) 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 (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #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 | |
---|---|---|---|---|
5.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* -1/6 (* x x)) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (* (- (* 3/40 (* x x)) 1/6) (* x x)) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) (* -5/112 (* x x)) -5/112 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1))) |
4.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* -1/6 (* x x)) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (* (- (* 3/40 (* x x)) 1/6) (* x x)) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) (* -5/112 (* x x)) -5/112 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1))) |
3.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) (* -1/6 (* x x)) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (* (- (* 3/40 (* x x)) 1/6) (* x x)) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) (* -5/112 (* x x)) -5/112 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1))) |
Useful iterations: 1 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 444 | 3574 |
0 | 486 | 3203 |
1 | 2264 | 2977 |
0 | 9702 | 2977 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
x |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) |
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x) |
(+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) |
(*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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) |
(+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) |
(*.f64 (-.f64 (*.f64 (+.f64 (*.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)) |
(-.f64 (*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal -5/112 binary64) (*.f64 x x)) #s(literal 3/40 binary64)) |
(*.f64 #s(literal -5/112 binary64) (*.f64 x x)) |
#s(literal -5/112 binary64) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (* -1/6 (* x x)) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (* 3/40 (* x x)) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40)) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2))))) |
#s(approx (* -5/112 (* x x)) #s(hole binary64 (* -5/112 (pow x 2)))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 1)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 3/40 (pow x 5)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 3/40 (pow x 4)))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* 3/40 (pow x 4)))) |
#s(approx (* (- (* 3/40 (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -5/112 (pow x 7)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -5/112 (pow x 6)))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* -5/112 (pow x 6)))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* -5/112 (pow x 4)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* -5/112 (pow x 4)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) 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 (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) 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 (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #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 |
---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x) x) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x) |
x |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) x) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) x) |
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
(+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/216 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) |
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#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))) (*.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 x x)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) x))) x)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f64 #s(literal -1 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (*.f64 (+.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) x) #s(literal -1/6 binary64))) x)) x) x)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 5/112 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 7 binary64))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 7 binary64))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal -6 binary64))) (pow.f64 x #s(literal 7 binary64))))) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -6 binary64))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) (*.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -6 binary64)))) x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
Compiled 14 254 to 2 106 computations (85.2% saved)
7 alts after pruning (1 fresh and 6 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 385 | 1 | 386 |
Fresh | 0 | 0 | 0 |
Picked | 1 | 4 | 5 |
Done | 0 | 2 | 2 |
Total | 386 | 7 | 393 |
Status | Accuracy | Program |
---|---|---|
✓ | 32.4% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
✓ | 22.9% | (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
✓ | 99.8% | (copysign.f64 (asinh.f64 x) x) |
▶ | 50.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x) |
✓ | 50.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) x) |
✓ | 49.9% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
✓ | 50.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
Compiled 130 to 89 computations (31.5% saved)
Inputs |
---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) |
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
x |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 x x) |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
Outputs |
---|
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 x)) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* -1/6 (pow x 3)))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 3) (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (* (* x x) 3/40) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* 3/40 (pow x 5)))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* 3/40 (pow x 5)))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* 3/40 (pow x 4)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
3 calls:
Time | Variable | Point | Expression | |
---|---|---|---|---|
2.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (* (- (* (* x x) 3/40) 1/6) (* x x)) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) (* x x) 3/40 1/6) |
2.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (* (- (* (* x x) 3/40) 1/6) (* x x)) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) (* x x) 3/40 1/6) |
1.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (* (- (* (* x x) 3/40) 1/6) (* x x)) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) (* x x) 3/40 1/6) |
Useful iterations: 1 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 184 | 1096 |
0 | 198 | 947 |
1 | 1006 | 821 |
0 | 8656 | 821 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) |
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x)) |
x |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x) |
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 x x) |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 x)) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* -1/6 (pow x 3)))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 3) (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (* (* x x) 3/40) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* 3/40 (pow x 5)))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* 3/40 (pow x 5)))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* 3/40 (pow x 4)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
Outputs |
---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) x)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (*.f64 x (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64))) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64)) (-.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))))) |
(-.f64 x (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) |
(-.f64 x (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(-.f64 x (*.f64 (neg.f64 x) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)))) |
(-.f64 x (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))))) (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 x x) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) x) |
(+.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) |
x |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x)) x) |
(*.f64 (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) x) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x)) |
(*.f64 x (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x))) |
(*.f64 x (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64))) (neg.f64 (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/216 binary64)) (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 27/64000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64)))) (/.f64 #s(literal 1/216 binary64) (+.f64 (+.f64 (*.f64 #s(literal 9/1600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/36 binary64)) (*.f64 (*.f64 x x) #s(literal 1/80 binary64))))) |
(-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) |
(+.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 #s(literal 3/40 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal 3/40 binary64) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 3/40 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3/40 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal 3/40 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.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) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.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 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (+.f64 (*.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 3/40 binary64) |
#s(literal 1/6 binary64) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (-.f64 x #s(literal -1 binary64)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 x #s(literal -1 binary64))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal -1/8 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x x)) (log.f64 (-.f64 x #s(literal -1 binary64))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal -1/8 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 x x)) (+.f64 (-.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal -45 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) (/.f64 #s(literal 45 binary64) (-.f64 x #s(literal -1 binary64)))))))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) x) x))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) x) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64)) x)) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) x)) |
#s(approx x x) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x x))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64)) (*.f64 x x))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(literal -1/6 binary64)) |
#s(approx (- (* (* x x) 3/40) 1/6) (-.f64 (*.f64 (*.f64 #s(literal 3/40 binary64) x) x) #s(literal 1/6 binary64))) |
#s(approx (* (* x x) 3/40) (*.f64 (*.f64 #s(literal 3/40 binary64) x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 x x) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (/.f64 x x)) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64)) (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (/.f64 x x)) (log.f64 x)))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (*.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 3/40 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (*.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/40 binary64))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))))) |
#s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 #s(literal 3/40 binary64) x) x)) |
#s(approx (- (* (* x x) 3/40) 1/6) (*.f64 (*.f64 (-.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64))) x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (+.f64 (/.f64 x x) (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) x) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 x (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) x) #s(literal -1/6 binary64)) (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x)) x))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
#s(approx (+ x (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x)) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal -4 binary64))))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) (* x x)) x) (*.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 5 binary64)))) |
Compiled 5 132 to 877 computations (82.9% saved)
7 alts after pruning (0 fresh and 7 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 153 | 0 | 153 |
Fresh | 0 | 0 | 0 |
Picked | 0 | 1 | 1 |
Done | 0 | 6 | 6 |
Total | 153 | 7 | 160 |
Status | Accuracy | Program |
---|---|---|
✓ | 32.4% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
✓ | 22.9% | (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
✓ | 99.8% | (copysign.f64 (asinh.f64 x) x) |
✓ | 50.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x) |
✓ | 50.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) x) |
✓ | 49.9% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
✓ | 50.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
Compiled 314 to 153 computations (51.3% saved)
Inputs |
---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) x) |
(copysign.f64 (asinh.f64 x) x) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Outputs |
---|
(copysign.f64 (asinh.f64 x) x) |
2 calls:
3.0ms | x |
3.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Accuracy | Segments | Branch |
---|---|---|
99.8% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
99.8% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Total -0.6b remaining (-1.8%)
Threshold costs -0.6b (-1.8%)
Inputs |
---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 1 binary64)) x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 3/40 binary64)) #s(literal 1/6 binary64)) (*.f64 x x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (+.f64 (*.f64 (-.f64 (*.f64 (+.f64 (*.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)) x) |
Outputs |
---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
2 calls:
2.0ms | x |
2.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Accuracy | Segments | Branch |
---|---|---|
50.1% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
50.1% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 12 | 18 |
1 | 20 | 18 |
2 | 41 | 18 |
3 | 82 | 18 |
4 | 132 | 18 |
5 | 336 | 18 |
6 | 2723 | 18 |
7 | 6711 | 18 |
1× | node limit |
Inputs |
---|
(copysign.f64 (asinh.f64 x) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
Outputs |
---|
(copysign.f64 (asinh.f64 x) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
1× | done |
Compiled 18 to 12 computations (33.3% saved)
Compiled 60 to 42 computations (30% saved)
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