Time bar (total: 1.5s)
1× | search |
Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
---|---|---|---|---|---|---|---|
0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 0 |
100% | 99.6% | 0% | 0.4% | 0% | 0% | 0% | 1 |
Compiled 4 to 4 computations (0% saved)
224.0ms | 8 256× | 42 | valid |
ival-asinh
: 116.0ms (94.5% of total)adjust
: 7.0ms (5.7% of total)Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
---|---|---|---|---|---|
122 | 0 | - | 1 | (-0.029694996774196625) | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
65 | 0 | - | 0 | - | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
0 | 0 | - | 0 | - | #s(literal 1 binary32) |
0 | 0 | - | 0 | - | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
0 | 0 | - | 0 | - | (*.f32 x x) |
0 | 0 | - | 0 | - | (+.f32 (*.f32 x x) #s(literal 1 binary32)) |
0 | 0 | - | 0 | - | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
0 | 0 | - | 0 | - | x |
0 | 0 | - | 0 | - | (fabs.f32 x) |
Operator | Subexpression | Explanation | Count | |
---|---|---|---|---|
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 120 | 2 |
sqrt.f32 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 65 | 0 |
↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 65 | |
↳ | (*.f32 x x) | overflow | 65 | |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 1 | 0 |
↳ | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 1 | |
↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 65 | |
↳ | (*.f32 x x) | overflow | 65 |
Predicted + | Predicted - | |
---|---|---|
+ | 185 | 1 |
- | 0 | 70 |
Predicted + | Predicted Maybe | Predicted - | |
---|---|---|---|
+ | 185 | 1 | 0 |
- | 0 | 1 | 69 |
number | freq |
---|---|
0 | 71 |
1 | 184 |
2 | 1 |
Predicted + | Predicted Maybe | Predicted - | |
---|---|---|---|
+ | 1 | 0 | 0 |
- | 0 | 0 | 0 |
22.0ms | 302× | 42 | valid |
21.0ms | 108× | 168 | valid |
14.0ms | 102× | 84 | valid |
Compiled 114 to 31 computations (72.8% saved)
ival-hypot
: 14.0ms (32.7% of total)ival-log
: 12.0ms (28% of total)ival-copysign
: 6.0ms (14% of total)ival-add!
: 4.0ms (9.3% of total)ival-mult!
: 4.0ms (9.3% of total)ival-fabs
: 3.0ms (7% of total)adjust
: 1.0ms (2.3% 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 | 11 |
1× | iter limit |
1× | node limit |
1× | iter limit |
1× | saturated |
Inputs |
---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Outputs |
---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
Status | Accuracy | Program |
---|---|---|
▶ | 39.5% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 12 to 9 computations (25% saved)
Inputs |
---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
Outputs |
---|
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 binary32 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (+ (* x x) 1) #s(hole binary32 1)) |
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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 binary32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* 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 binary32 (pow x 2))) |
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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 binary32 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -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 binary32 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -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: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 226 | 1103 |
0 | 238 | 900 |
1 | 1345 | 759 |
0 | 8449 | 710 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 binary32 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (+ (* x x) 1) #s(hole binary32 1)) |
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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 binary32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* 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 binary32 (pow x 2))) |
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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 binary32 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -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 binary32 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
Outputs |
---|
(copysign.f32 (asinh.f32 x) x) |
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) x)) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x))))))) |
(asinh.f32 x) |
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (cosh.f32 (asinh.f32 x)) x)) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (cosh.f32 (asinh.f32 x)) x)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 x (cosh.f32 (asinh.f32 x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x))))))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 x (cosh.f32 (asinh.f32 x)))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (cosh.f32 (asinh.f32 x)))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 x (cosh.f32 (asinh.f32 x))))) |
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x)))))) (/.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x))))))) |
(+.f32 (cosh.f32 (asinh.f32 x)) x) |
(+.f32 x (cosh.f32 (asinh.f32 x))) |
x |
x |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(/.f32 (sqrt.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))))) |
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32))) |
(cosh.f32 (neg.f32 (asinh.f32 x))) |
(cosh.f32 (asinh.f32 (neg.f32 x))) |
(cosh.f32 (asinh.f32 x)) |
(*.f32 (neg.f32 (cosh.f32 (asinh.f32 x))) (neg.f32 (cosh.f32 (asinh.f32 x)))) |
(*.f32 (fabs.f32 (cosh.f32 (asinh.f32 x))) (fabs.f32 (cosh.f32 (asinh.f32 x)))) |
(*.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x))) |
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 x x)))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32)) |
(fma.f32 x x #s(literal 1 binary32)) |
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) |
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x))))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 x x)))))) |
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 x #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal 1 binary32)))))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x))) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 x x) |
(sqrt.f32 (pow.f32 x #s(literal 4 binary32))) |
(pow.f32 (neg.f32 x) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(fabs.f32 (*.f32 (neg.f32 x) x)) |
(fabs.f32 (*.f32 x (neg.f32 x))) |
(fabs.f32 (*.f32 x x)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
#s(literal 1 binary32) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (fma.f32 #s(literal 45 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) (/.f32 #s(literal 30 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 (fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) x) #s(literal 1 binary32))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32))) |
#s(approx (fabs x) x) |
#s(approx (fabs x) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (+ (* x x) 1) #s(literal 1 binary32)) |
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32))) |
#s(approx (* x x) (*.f32 x x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 x x) (log.f32 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) (/.f32 x x)) (log.f32 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) (/.f32 x x))) (log.f32 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (/.f32 x x) #s(literal 1 binary32)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (/.f32 x x)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (/.f32 x x)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))) x)) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
#s(approx (+ (* x x) 1) (fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal 1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) #s(literal 1 binary32)))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))))) |
Compiled 2 180 to 626 computations (71.3% saved)
6 alts after pruning (6 fresh and 0 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 103 | 6 | 109 |
Fresh | 0 | 0 | 0 |
Picked | 1 | 0 | 1 |
Done | 0 | 0 | 0 |
Total | 104 | 6 | 110 |
Status | Accuracy | Program |
---|---|---|
▶ | 31.1% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
▶ | 28.7% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
▶ | 18.3% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))) x) |
▶ | 99.6% | (copysign.f32 (asinh.f32 x) x) |
51.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x))) x) | |
▶ | 51.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x) |
Compiled 262 to 172 computations (34.4% saved)
Inputs |
---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)) |
(fabs.f32 x) |
#s(approx (sqrt (+ (* x x) 1)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
(neg.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) |
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x)) |
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 x x) |
(+.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
#s(literal 1/2 binary32) |
(log1p.f32 x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32))) |
(+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) |
(-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) |
(*.f32 #s(literal 1/16 binary32) (*.f32 x x)) |
#s(literal 1/16 binary32) |
#s(literal 1/8 binary32) |
Outputs |
---|
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (asinh x) #s(hole binary32 x)) |
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 binary32 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6)))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (pow x 2))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1)))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (+ 1 x) #s(hole binary32 1)) |
#s(approx (+ 1 x) #s(hole binary32 (+ 1 x))) |
#s(approx (log (+ 1 x)) #s(hole binary32 x)) |
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 1)) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 x))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 x)) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* 1/2 x))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (+ 1/2 (* -1/8 (pow x 2))))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 -1/8)) |
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (- (* 1/16 (pow x 2)) 1/8))) |
#s(approx (* 1/16 (* x x)) #s(hole binary32 (* 1/16 (pow x 2)))) |
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (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 binary32 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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 binary32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 x)) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- 1 (/ 1 x))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))) |
#s(approx (+ 1 x) #s(hole binary32 x)) |
#s(approx (+ 1 x) #s(hole binary32 (* x (+ 1 (/ 1 x))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x)))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* 1/16 (pow x 6)))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* 1/16 (pow x 6)))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* 1/16 (pow x 4)))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* (pow x 4) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (* 1/16 (pow x 2)))) |
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (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 binary32 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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 binary32 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -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 binary32 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x)))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))))) |
3 calls:
Time | Variable | Point | Expression | |
---|---|---|---|---|
4.0ms | 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) (+ 1 x) 1 1/2 (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (- (* 1/16 (* x x)) 1/8) (* 1/16 (* x x)) 1/16 1/8) |
3.0ms | 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) (+ 1 x) 1 1/2 (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (- (* 1/16 (* x x)) 1/8) (* 1/16 (* x x)) 1/16 1/8) |
3.0ms | 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (/ (* x x) (+ 1 x)) (* x x) (+ 1 x) 1 1/2 (log (+ 1 x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (- (* 1/16 (* x x)) 1/8) (* 1/16 (* x x)) 1/16 1/8) |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 537 | 3080 |
0 | 572 | 2695 |
1 | 3200 | 2528 |
0 | 8773 | 2456 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x)) |
(fabs.f32 x) |
#s(approx (sqrt (+ (* x x) 1)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
(neg.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) |
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x)) |
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) |
(*.f32 x x) |
(+.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
#s(literal 1/2 binary32) |
(log1p.f32 x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32))) |
(+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) |
(-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) |
(*.f32 #s(literal 1/16 binary32) (*.f32 x x)) |
#s(literal 1/16 binary32) |
#s(literal 1/8 binary32) |
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (asinh x) #s(hole binary32 x)) |
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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 binary32 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (neg x) #s(hole binary32 (* -1 x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6)))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (pow x 2))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* -1 x))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- x 1)))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* (pow x 2) (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (+ 1 x) #s(hole binary32 1)) |
#s(approx (+ 1 x) #s(hole binary32 (+ 1 x))) |
#s(approx (log (+ 1 x)) #s(hole binary32 x)) |
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* -1/2 x))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 1)) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 x))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 x)) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* 1/2 x))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* x (+ 1 (* x (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 1/2)) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (+ 1/2 (* -1/8 (pow x 2))))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 -1/8)) |
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (- (* 1/16 (pow x 2)) 1/8))) |
#s(approx (* 1/16 (* x x)) #s(hole binary32 (* 1/16 (pow x 2)))) |
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (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 binary32 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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 binary32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 x)) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- 1 (/ 1 x))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* x (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))))) |
#s(approx (+ 1 x) #s(hole binary32 x)) |
#s(approx (+ 1 x) #s(hole binary32 (* x (+ 1 (/ 1 x))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ 1 x)))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* 1/16 (pow x 6)))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* 1/16 (pow x 6)))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- 1/16 (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) #s(hole binary32 (* (pow x 6) (- (+ 1/16 (+ (/ 1/2 (pow x 4)) (/ 1 (pow x 5)))) (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* 1/16 (pow x 4)))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* (pow x 4) (- 1/16 (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) #s(hole binary32 (* (pow x 4) (- (+ 1/16 (/ 1/2 (pow x 4))) (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (* 1/16 (pow x 2)))) |
#s(approx (- (* 1/16 (* x x)) 1/8) #s(hole binary32 (* (pow x 2) (- 1/16 (* 1/8 (/ 1 (pow x 2))))))) |
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (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 binary32 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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 binary32 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -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 binary32 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (/ 1 x) 1))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (/ 1 x) 1) x)) 1))))) |
#s(approx (/ (* x x) (+ 1 x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (* -1 (log (/ -1 x)))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))))) |
#s(approx (log (+ 1 x)) #s(hole binary32 (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))))) |
Outputs |
---|
(copysign.f32 (asinh.f32 x) x) |
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) x)) |
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x)))) |
(-.f32 (log.f32 (-.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 x) #s(literal 3 binary32)))) (log.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x (*.f32 (cosh.f32 (asinh.f32 x)) (neg.f32 x)))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x (cosh.f32 (asinh.f32 x))))))) |
(asinh.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x)))))) |
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) x))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) x) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) x))))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x) |
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) x)) |
x |
#s(approx (sqrt (+ (* x x) 1)) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x)) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32)))) (log.f32 (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))))))) |
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) #s(literal 2 binary32)) (*.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) x) |
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
(*.f32 #s(literal -1 binary32) x) |
(*.f32 x #s(literal -1 binary32)) |
(neg.f32 x) |
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(fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) x) x #s(literal 1/2 binary32)) |
(fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) |
(fma.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) #s(literal 1/2 binary32)) |
(+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) x) x) #s(literal 1/2 binary32)) |
(+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) x) x)) |
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(-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) |
(*.f32 (*.f32 #s(literal 1/16 binary32) x) x) |
(*.f32 (*.f32 x x) #s(literal 1/16 binary32)) |
(*.f32 #s(literal 1/16 binary32) (*.f32 x x)) |
#s(literal 1/16 binary32) |
#s(literal 1/8 binary32) |
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#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
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#s(approx (fabs x) x) |
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#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) |
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#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (*.f32 x x) #s(literal 1/2 binary32) x) #s(literal 1 binary32))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32))) |
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#s(approx (fabs x) x) |
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#s(approx (neg x) (neg.f32 x)) |
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#s(approx (* x x) (*.f32 x x)) |
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#s(approx (log (+ 1 x)) x) |
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#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x) |
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#s(approx (sqrt (+ (* x x) 1)) x) |
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#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x)) |
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#s(approx (/ (* x x) (+ 1 x)) x) |
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#s(approx (+ 1 x) x) |
#s(approx (+ 1 x) (+.f32 #s(literal 1 binary32) x)) |
#s(approx (log (+ 1 x)) (log.f32 x)) |
#s(approx (log (+ 1 x)) (+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x))) |
#s(approx (log (+ 1 x)) (-.f32 (+.f32 (log.f32 x) (/.f32 #s(literal 1 binary32) x)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) |
#s(approx (log (+ 1 x)) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/3 binary32) (/.f32 #s(literal 1 binary32) x)) (log.f32 x)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32)))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/16 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))) |
#s(approx (+ (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) 1) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/16 binary32)) (pow.f32 x #s(literal -5 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1/16 binary32))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/16 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))) |
#s(approx (+ (* (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (* x x)) x) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/16 binary32)) (pow.f32 x #s(literal -5 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 6 binary32)))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/16 binary32))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (+ (* (- (* 1/16 (* x x)) 1/8) (* x x)) 1/2) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/16 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (- (* 1/16 (* x x)) 1/8) (*.f32 (*.f32 x x) #s(literal 1/16 binary32))) |
#s(approx (- (* 1/16 (* x x)) 1/8) (*.f32 (-.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) (*.f32 x x))) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 5/96 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/4 binary32))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 x x) #s(literal -1 binary32) #s(literal 1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (-.f32 x (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal 1 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (neg.f32 x) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) #s(literal 1 binary32)))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (*.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 1/8 binary32))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (log.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 3/2 binary32)) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32)))) |
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))) |
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)))) |
#s(approx (/ (* x x) (+ 1 x)) (*.f32 (neg.f32 x) (-.f32 (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) x)) #s(literal 1 binary32)) x)) #s(literal 1 binary32)))) |
#s(approx (log (+ 1 x)) (log.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x))))) |
#s(approx (log (+ 1 x)) (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) x)) (log.f32 #s(literal -1 binary32)))) |
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32)))) |
#s(approx (log (+ 1 x)) (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/3 binary32) x) #s(literal 1/2 binary32)) x)) #s(literal 1 binary32)) x)) (log.f32 #s(literal -1 binary32)))) |
Compiled 10 748 to 1 663 computations (84.5% saved)
9 alts after pruning (7 fresh and 2 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 314 | 7 | 321 |
Fresh | 1 | 0 | 1 |
Picked | 3 | 2 | 5 |
Done | 0 | 0 | 0 |
Total | 318 | 9 | 327 |
Status | Accuracy | Program |
---|---|---|
✓ | 31.1% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
25.8% | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) | |
✓ | 99.6% | (copysign.f32 (asinh.f32 x) x) |
53.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) | |
▶ | 53.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
▶ | 53.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
▶ | 52.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) x) |
▶ | 19.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x) |
▶ | 54.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
Compiled 405 to 260 computations (35.8% saved)
Inputs |
---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) |
#s(literal -1/6 binary32) |
(*.f32 x x) |
#s(literal 1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) |
(*.f32 #s(literal 1/4 binary32) x) |
#s(literal 1/4 binary32) |
#s(literal 1/6 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) |
(fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) |
(*.f32 #s(literal 3/40 binary32) (*.f32 x x)) |
#s(literal 3/40 binary32) |
Outputs |
---|
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6)))))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 1)) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 x)) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6)))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 1)) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))) |
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 -1/6)) |
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (- (* 1/4 x) 1/6))) |
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x)) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* 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 binary32 1)) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 -1/6)) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (* 3/40 (* x x)) #s(hole binary32 (* 3/40 (pow x 2)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1/6 (pow x 3)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* -1/6 (pow x 2)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* 1/4 (pow x 4)))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (- 1/4 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* 1/4 (pow x 3)))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 3) (- 1/4 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 3) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x)))))) |
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* 1/4 x))) |
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* x (- 1/4 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* 3/40 (pow x 5)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (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 binary32 (* (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 binary32 (* 3/40 (pow x 4)))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (* 3/40 (pow x 2)))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (+ 1/4 (* -1 (/ (- 1/6 (/ 1 (pow x 2))) x)))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/4))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/6) x)) 1/4))))) |
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/4))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -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 binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (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 x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (* 1/2 x) 1/2 (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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (- (* 1/4 x) 1/6) (* 1/4 x) 1/4 1/6 (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) (* 3/40 (* x x)) 3/40) |
3.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (* 1/2 x) 1/2 (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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (- (* 1/4 x) 1/6) (* 1/4 x) 1/4 1/6 (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) (* 3/40 (* x x)) 3/40) |
2.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (* 1/2 x) 1/2 (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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (- (* 1/4 x) 1/6) (* 1/4 x) 1/4 1/6 (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) (* 3/40 (* x x)) 3/40) |
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 340 | 2258 |
0 | 369 | 2050 |
1 | 1769 | 1890 |
0 | 8727 | 1803 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 #s(literal 1/2 binary32) x) |
#s(literal 1/2 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) |
#s(literal -1/6 binary32) |
(*.f32 x x) |
#s(literal 1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) |
(*.f32 #s(literal 1/4 binary32) x) |
#s(literal 1/4 binary32) |
#s(literal 1/6 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) |
(fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) |
(*.f32 #s(literal 3/40 binary32) (*.f32 x x)) |
#s(literal 3/40 binary32) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* x (+ 1/4 (* -3/10 x))) 1/6)))))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 1)) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 x)) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6)))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 1)) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 1/4 x) 1/6))))) |
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 -1/6)) |
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (- (* 1/4 x) 1/6))) |
#s(approx (* 1/4 x) #s(hole binary32 (* 1/4 x))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x)) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* 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 binary32 1)) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 -1/6)) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (* 3/40 (* x x)) #s(hole binary32 (* 3/40 (pow x 2)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* 1/2 x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (* -1 (/ (log (/ 1 x)) x))) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (* 1/2 (/ 1 x)))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* x (- (+ 1/2 (+ (* -1 (/ (log (/ 1 x)) x)) (/ 3/2 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1/6 (pow x 3)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* -1/6 (pow x 2)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary32 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* 1/4 (pow x 4)))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (- 1/4 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* 1/4 (pow x 3)))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 3) (- 1/4 (* 1/6 (/ 1 x)))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 3) (- (+ 1/4 (/ 1 (pow x 3))) (* 1/6 (/ 1 x)))))) |
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* 1/4 x))) |
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* x (- 1/4 (* 1/6 (/ 1 x)))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* 3/40 (pow x 5)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (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 binary32 (* (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 binary32 (* 3/40 (pow x 4)))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (* 3/40 (pow x 2)))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary32 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) 1/2) x)) 1/2))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 3/2 (/ 1 x)))) 1/2) x)) 1/2))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (/ 1 x) 3/2) x)))) 1/2) x)) 1/2))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) #s(hole binary32 (* (pow x 4) (+ 1/4 (* -1 (/ (- 1/6 (/ 1 (pow x 2))) x)))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 x)) 1/4))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(hole binary32 (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/6) x)) 1/4))))) |
#s(approx (- (* 1/4 x) 1/6) #s(hole binary32 (* -1 (* x (- (* 1/6 (/ 1 x)) 1/4))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -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 binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))))) |
Outputs |
---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 #s(literal 1/2 binary32) x) |
(*.f32 x #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x) |
(*.f32 x (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))) |
(/.f32 (+.f32 (pow.f32 (*.f32 x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 1 binary32) x) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x)) (*.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x))))) |
(fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x)) |
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) |
(+.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) |
(+.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x)) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x x)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) |
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (/.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 x x))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) x) x #s(literal 1 binary32)) |
(fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (/.f32 (*.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))) |
(+.f32 (/.f32 (*.f32 #s(literal -1/216 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))))) |
(+.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) |
#s(literal -1/6 binary32) |
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x))) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 x x) |
(sqrt.f32 (pow.f32 x #s(literal 4 binary32))) |
(pow.f32 (neg.f32 x) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(fabs.f32 (*.f32 (neg.f32 x) x)) |
(fabs.f32 (*.f32 x (neg.f32 x))) |
(fabs.f32 (*.f32 x x)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
#s(literal 1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) |
(*.f32 x (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) |
(/.f32 (+.f32 (pow.f32 (*.f32 x #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)) #s(literal 3 binary32))) (fma.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))) (*.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) x) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 #s(literal 1 binary32) x) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x)) (*.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x))))) |
(fma.f32 #s(literal 1 binary32) x (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x)) |
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))) |
(+.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))) |
(+.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) x)) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (neg.f32 (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (neg.f32 (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))) (*.f32 (neg.f32 (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 x x)) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32))))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)))))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32))) |
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))))) |
(/.f32 (fma.f32 (pow.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x))) (/.f32 (pow.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) x) x)))) |
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#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -3/10 binary32) x #s(literal 1/4 binary32)) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
#s(approx x x) |
#s(approx (* 1/2 x) (*.f32 #s(literal 1/2 binary32) x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) x) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x)) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(literal 1 binary32)) |
#s(approx (+ (* -1/6 (* x x)) 1) (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))) |
#s(approx (* x x) (*.f32 x x)) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) x) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x)) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (- (* 1/4 x) 1/6) #s(literal -1/6 binary32)) |
#s(approx (- (* 1/4 x) 1/6) (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32))) |
#s(approx (* 1/4 x) (*.f32 #s(literal 1/4 binary32) x)) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) x) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f32 (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32)) x)) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(literal 1 binary32)) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (fma.f32 (*.f32 x x) #s(literal -1/6 binary32) #s(literal 1 binary32))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(literal -1/6 binary32)) |
#s(approx (- (* 3/40 (* x x)) 1/6) (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32))) |
#s(approx (* 3/40 (* x x)) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (/.f32 x x) (log.f32 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) (/.f32 #s(literal 1/2 binary32) x) (/.f32 x x)) (log.f32 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) (/.f32 #s(literal 1/2 binary32) x) (/.f32 x x))) (log.f32 x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (log.f32 x) #s(literal 1/2 binary32)) x)) x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (-.f32 (+.f32 (+.f32 (/.f32 (log.f32 x) x) #s(literal 1/2 binary32)) (/.f32 #s(literal 3/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) x)) x)) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (-.f32 (-.f32 (+.f32 (+.f32 (/.f32 (log.f32 x) x) #s(literal 1/2 binary32)) (/.f32 #s(literal 3/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/2 binary32) x)) (pow.f32 x #s(literal -3 binary32))) x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (+ (* -1/6 (* x x)) 1) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) |
#s(approx (+ (* -1/6 (* x x)) 1) (*.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) (*.f32 x x))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/6 binary32) x)) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/6 binary32) x)) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1/4 binary32))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/6 binary32) x)) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -3 binary32)) #s(literal 1/4 binary32)) (/.f32 #s(literal 1/6 binary32) x)) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (- (* 1/4 x) 1/6) (*.f32 #s(literal 1/4 binary32) x)) |
#s(approx (- (* 1/4 x) 1/6) (*.f32 (-.f32 #s(literal 1/4 binary32) (/.f32 #s(literal 1/6 binary32) x)) x)) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal 3/40 binary32))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f32 (-.f32 #s(literal 3/40 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))) (pow.f32 x #s(literal 5 binary32)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 3/40 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))) (pow.f32 x #s(literal 5 binary32)))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 3/40 binary32))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (*.f32 (-.f32 #s(literal 3/40 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (*.f32 (-.f32 (+.f32 (pow.f32 x #s(literal -4 binary32)) #s(literal 3/40 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (- (* 3/40 (* x x)) 1/6) (*.f32 (*.f32 x x) #s(literal 3/40 binary32))) |
#s(approx (- (* 3/40 (* x x)) 1/6) (*.f32 (-.f32 #s(literal 3/40 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32))) (*.f32 x x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (neg.f32 (/.f32 x x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) x) #s(literal -1/2 binary32) x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) (*.f32 x x) #s(literal 1 binary32)) #s(literal 1/2 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (log.f32 (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32)) x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 #s(literal 3/2 binary32) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32)) x))) |
#s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 3/2 binary32)) x)) (log.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) #s(literal 1/2 binary32)) x))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal -2 binary32))) (pow.f32 x #s(literal 3 binary32))))) |
#s(approx (* (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) x) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal -2 binary32))) x) #s(literal -1 binary32) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) x) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 3 binary32))))) |
#s(approx (+ (* (- (* 1/4 x) 1/6) (* x x)) 1) (neg.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) x)) #s(literal 1/4 binary32)) (pow.f32 x #s(literal 3 binary32))))) |
#s(approx (- (* 1/4 x) 1/6) (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/6 binary32) x) #s(literal 1/4 binary32)) x))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32)) (pow.f32 x #s(literal -4 binary32))) (pow.f32 x #s(literal 5 binary32))))) |
Compiled 10 959 to 1 409 computations (87.1% saved)
10 alts after pruning (4 fresh and 6 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 283 | 2 | 285 |
Fresh | 0 | 2 | 2 |
Picked | 1 | 4 | 5 |
Done | 0 | 2 | 2 |
Total | 284 | 10 | 294 |
Status | Accuracy | Program |
---|---|---|
✓ | 31.1% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
▶ | 25.8% | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
✓ | 99.6% | (copysign.f32 (asinh.f32 x) x) |
▶ | 53.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x) |
▶ | 53.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
✓ | 53.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
✓ | 53.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
▶ | 53.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) x) |
✓ | 19.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x) |
✓ | 54.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
Compiled 223 to 148 computations (33.6% saved)
Inputs |
---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) |
(*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x) |
(+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) |
(*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) |
(*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) |
(-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) |
(*.f32 (*.f32 x x) #s(literal 3/40 binary32)) |
(*.f32 x x) |
x |
#s(literal 3/40 binary32) |
#s(literal 1/6 binary32) |
#s(literal 1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) |
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) |
(*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) |
(fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) |
#s(literal -5/112 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) |
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) |
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) |
(*.f32 (*.f32 x x) #s(literal -1/6 binary32)) |
#s(literal -1/6 binary32) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) |
(+.f32 #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 binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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) 3/40) 1/6) x) x) 1) x) #s(hole binary32 x)) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 1)) |
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* -1/6 (pow x 2)))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* -1/6 x))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* x (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 -1/6)) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (* (* x x) 3/40) #s(hole binary32 (* 3/40 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x)) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* 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 binary32 (* 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 binary32 (* 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 binary32 1)) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 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 binary32 (+ 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) #s(hole binary32 -1/6)) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* 3/40 (pow x 2)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 3/40)) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (+ 3/40 (* -5/112 (pow x 2))))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 x)) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* x (* (* x x) -1/6)) #s(hole binary32 (* -1/6 (pow x 3)))) |
#s(approx (* (* x x) -1/6) #s(hole binary32 (* -1/6 (pow x 2)))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* 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 binary32 1)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 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 binary32 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* 3/40 (pow x 5)))) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* (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) 1) #s(hole binary32 (* 3/40 (pow x 4)))) |
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* 3/40 (pow x 4)))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* 3/40 (pow x 3)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* 3/40 (pow x 2)))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* (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 binary32 (* -5/112 (pow x 7)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (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 binary32 (* (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 binary32 (* (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 binary32 (* -5/112 (pow x 6)))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (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 binary32 (* (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 binary32 (* (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) #s(hole binary32 (* -5/112 (pow x 4)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* (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 binary32 (* (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 binary32 (* -5/112 (pow x 4)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* -5/112 (pow x 2)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* -1/6 (pow x 3)))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (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 binary32 (- (+ (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 binary32 (* 2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* 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 binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* 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 binary32 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* -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) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -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 binary32 (* -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 binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (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 binary32 (- (+ (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 binary32 (/ -1/2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -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 binary32 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -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 | |
---|---|---|---|---|
4.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) (* x x) x 3/40 1/6 1 (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) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x 1) (* x (* (* x x) -1/6))) (* x (* (* x x) -1/6)) (* (* x x) -1/6) -1/6 (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 x) 3/40) 1/6) x) x) 1) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) (* x x) x 3/40 1/6 1 (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) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x 1) (* x (* (* x x) -1/6))) (* x (* (* x x) -1/6)) (* (* x x) -1/6) -1/6 (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 x) 3/40) 1/6) x) x) 1) x) (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) (* (* (- (* (* x x) 3/40) 1/6) x) x) (* (- (* (* x x) 3/40) 1/6) x) (- (* (* x x) 3/40) 1/6) (* (* x x) 3/40) (* x x) x 3/40 1/6 1 (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) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x 1) (* x (* (* x x) -1/6))) (* x (* (* x x) -1/6)) (* (* x x) -1/6) -1/6 (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: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 443 | 3343 |
0 | 483 | 2933 |
1 | 2282 | 2714 |
0 | 9850 | 2628 |
1× | iter limit |
1× | node limit |
1× | iter limit |
Inputs |
---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) |
(*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x) |
(+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) |
(*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) |
(*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) |
(-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) |
(*.f32 (*.f32 x x) #s(literal 3/40 binary32)) |
(*.f32 x x) |
x |
#s(literal 3/40 binary32) |
#s(literal 1/6 binary32) |
#s(literal 1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) |
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) |
(*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) |
(fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) |
#s(literal -5/112 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) |
(fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) |
(*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) |
(*.f32 (*.f32 x x) #s(literal -1/6 binary32)) |
#s(literal -1/6 binary32) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) |
(+.f32 #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 binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (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 binary32 (+ (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) 3/40) 1/6) x) x) 1) x) #s(hole binary32 x)) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 1)) |
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* -1/6 (pow x 2)))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* -1/6 x))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* x (- (* 3/40 (pow x 2)) 1/6)))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 -1/6)) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (* (* x x) 3/40) #s(hole binary32 (* 3/40 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 x)) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* 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 binary32 (* 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 binary32 (* 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 binary32 1)) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (+ 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 binary32 (+ 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) #s(hole binary32 -1/6)) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* 3/40 (pow x 2)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 3/40)) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (+ 3/40 (* -5/112 (pow x 2))))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 x)) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* x (* (* x x) -1/6)) #s(hole binary32 (* -1/6 (pow x 3)))) |
#s(approx (* (* x x) -1/6) #s(hole binary32 (* -1/6 (pow x 2)))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (* 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 binary32 1)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 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 binary32 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* 3/40 (pow x 5)))) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* (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) 1) #s(hole binary32 (* 3/40 (pow x 4)))) |
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) #s(hole binary32 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* 3/40 (pow x 4)))) |
#s(approx (* (* (- (* (* x x) 3/40) 1/6) x) x) #s(hole binary32 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* 3/40 (pow x 3)))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) x) #s(hole binary32 (* (pow x 3) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* 3/40 (pow x 2)))) |
#s(approx (- (* (* x x) 3/40) 1/6) #s(hole binary32 (* (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 binary32 (* -5/112 (pow x 7)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* (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 binary32 (* (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 binary32 (* (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 binary32 (* -5/112 (pow x 6)))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary32 (* (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 binary32 (* (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 binary32 (* (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) #s(hole binary32 (* -5/112 (pow x 4)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary32 (* (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 binary32 (* (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 binary32 (* -5/112 (pow x 4)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary32 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* -5/112 (pow x 2)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary32 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* -1/6 (pow x 3)))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (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 binary32 (- (+ (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 binary32 (* 2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* 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 binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* 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 binary32 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary32 (+ (* -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 binary32 (+ (* -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) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) #s(hole binary32 (* -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) #s(hole binary32 (* -1 (* (pow x 3) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary32 (* -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 binary32 (* -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 binary32 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) #s(hole binary32 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary32 (- (+ (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 binary32 (- (+ (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 binary32 (/ -1/2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary32 (* -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 binary32 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
Outputs |
---|
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) |
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x) |
(*.f32 x (fma.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32))) |
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#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (*.f32 (-.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) (*.f32 (*.f32 x x) #s(literal -5/112 binary32))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32)) #s(literal 5/112 binary32)) (*.f32 x x))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) (*.f32 (-.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (*.f32 #s(literal 2 binary32) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 x)) (log.f32 #s(literal 2 binary32)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (fma.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)) (log.f32 x)) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (*.f32 #s(literal 2 binary32) x)) (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -6 binary32)) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32))))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 #s(literal 2 binary32) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 2 binary32)) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) #s(literal -1 binary32) (/.f32 (neg.f32 x) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) x) #s(literal -1/2 binary32) x) x) #s(literal -1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1/2 binary32) (*.f32 (/.f32 (fma.f32 #s(literal -3 binary32) x (*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 2 binary32))) x) #s(literal -1/6 binary32))) x) #s(literal -1 binary32) x) x) #s(literal -1 binary32) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))))) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) (neg.f32 (*.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32)) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (* (+ (* (* (- (* (* x x) 3/40) 1/6) x) x) 1) x) (neg.f32 (*.f32 (-.f32 (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32)) (pow.f32 x #s(literal -4 binary32))) (pow.f32 x #s(literal 5 binary32))))) |
#s(approx (* (- (* (* x x) 3/40) 1/6) x) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/6 binary32)) #s(literal 3/40 binary32)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 #s(literal 5/112 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32))) (pow.f32 x #s(literal 7 binary32))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 5/112 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32))) (pow.f32 x #s(literal 7 binary32))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 5/112 binary32)) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 3/40 binary32) (pow.f32 x #s(literal -6 binary32)))) (pow.f32 x #s(literal 7 binary32))))) |
#s(approx (+ (* x 1) (* x (* (* x x) -1/6))) (*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal -2 binary32))))) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (asinh.f32 x) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f32 (+.f32 (log.f32 (*.f32 (/.f32 #s(literal -1 binary32) x) #s(literal 1/2 binary32))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal -6 binary32)) (*.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal -2 binary32)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f32 #s(literal -1/2 binary32) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32))) x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f32 (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (fma.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal -6 binary32)) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/8 binary32)))) x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (fma.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (neg.f32 x) (-.f32 (+.f32 (fma.f32 (pow.f32 x #s(literal -6 binary32)) #s(literal 1/16 binary32) (*.f32 (pow.f32 x #s(literal -2 binary32)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
Compiled 14 215 to 2 099 computations (85.2% saved)
10 alts after pruning (1 fresh and 9 done)
Pruned | Kept | Total | |
---|---|---|---|
New | 397 | 1 | 398 |
Fresh | 0 | 0 | 0 |
Picked | 1 | 3 | 4 |
Done | 0 | 6 | 6 |
Total | 398 | 10 | 408 |
Status | Accuracy | Program |
---|---|---|
✓ | 31.1% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
✓ | 25.8% | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
✓ | 99.6% | (copysign.f32 (asinh.f32 x) x) |
53.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x x)) x) | |
✓ | 53.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
✓ | 53.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
✓ | 53.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
✓ | 53.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) x) |
✓ | 19.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x) |
✓ | 54.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
Compiled 629 to 263 computations (58.2% saved)
Inputs |
---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
(copysign.f32 (asinh.f32 x) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) x)) #s(literal 1/2 binary32) (log1p.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal -2 binary32)) #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) x))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x))) x) |
Outputs |
---|
(copysign.f32 (asinh.f32 x) x) |
2 calls:
4.0ms | x |
4.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Accuracy | Segments | Branch |
---|---|---|
99.6% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
99.6% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Total -11.6b remaining (-79.1%)
Threshold costs -11.6b (-79.1%)
Inputs |
---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 #s(literal 1/2 binary32) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) x) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (+.f32 (*.f32 (*.f32 (-.f32 (*.f32 (*.f32 x x) #s(literal 3/40 binary32)) #s(literal 1/6 binary32)) x) x) #s(literal 1 binary32)) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 x x) #s(literal 1 binary32)) x)) x) |
Outputs |
---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
2 calls:
3.0ms | x |
2.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Accuracy | Segments | Branch |
---|---|---|
54.0% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
54.0% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Useful iterations: 0 (0.0ms)
Iter | Nodes | Cost |
---|---|---|
0 | 19 | 33 |
1 | 34 | 33 |
2 | 80 | 33 |
3 | 229 | 33 |
4 | 480 | 33 |
5 | 832 | 33 |
6 | 3764 | 33 |
7 | 7013 | 33 |
1× | node limit |
Inputs |
---|
(copysign.f32 (asinh.f32 x) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
Outputs |
---|
(copysign.f32 (asinh.f32 x) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (/ (* x x) (+ 1 x)) 1/2) (log (+ 1 x))) x)) x) |
1× | fuel |
Compiled 33 to 19 computations (42.4% saved)
Compiled 130 to 76 computations (41.5% saved)
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