
Time bar (total: 3.1s)
| 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)
| 516.0ms | 8 256× | 0 | valid |
ival-asinh: 250.0ms (95.4% of total)ival-true: 6.0ms (2.3% of total)ival-assert: 3.0ms (1.1% of total)adjust: 2.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 127 | 0 | - | 3 | (0.027277149260044098) | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 56 | 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 | 122 | 3 |
sqrt.f32 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 56 | 0 |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 56 | |
| ↳ | (*.f32 x x) | overflow | 56 | |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 2 | 0 |
| ↳ | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 2 | |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 56 | |
| ↳ | (*.f32 x x) | overflow | 56 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 178 | 3 |
| - | 0 | 75 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 178 | 3 | 0 |
| - | 0 | 0 | 75 |
| number | freq |
|---|---|
| 0 | 78 |
| 1 | 176 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 133.0ms | 190× | 1 | valid |
| 39.0ms | 322× | 0 | valid |
Compiled 114 to 31 computations (72.8% saved)
ival-hypot: 79.0ms (64.5% of total)ival-log: 12.0ms (9.8% of total)ival-fabs: 10.0ms (8.2% of total)adjust: 6.0ms (4.9% of total)ival-add: 6.0ms (4.9% of total)ival-copysign: 5.0ms (4.1% of total)ival-mult: 4.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 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 |
|---|---|---|
| ▶ | 40.1% | (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 | 219 | 972 |
| 1 | 631 | 938 |
| 2 | 2702 | 926 |
| 0 | 8824 | 845 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 |
|---|
#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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) 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)))) (log1p.f32 (fabs.f32 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)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 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)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#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))) (-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32))) |
#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))) (-.f32 (fabs.f32 x) (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 (+ (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) (sqrt (+ (* x x) 1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx (fabs x) (fabs.f32 x)) |
#s(approx x #s(hole binary32 x)) |
#s(approx x x) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2))))) |
#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)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#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)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (fma.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(hole binary32 1)) |
#s(approx (+ (* x x) 1) #s(literal 1 binary32)) |
#s(approx (+ (* x x) 1) #s(hole binary32 (+ 1 (pow x 2)))) |
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (* x x) (*.f32 x x)) |
#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)))) (log.f32 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)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 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)))) (+.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/2 binary32)) (/.f32 (fabs.f32 x) x)) (log.f32 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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (+.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (log.f32 x)) (/.f32 (fabs.f32 x) x)) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1/2 binary32)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) 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))) (fma.f32 (/.f32 (fabs.f32 x) x) 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))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) 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 (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)) |
#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)) (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
#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 (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
#s(approx (+ (* x x) 1) #s(hole binary32 (pow x 2))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
#s(approx (+ (* x x) 1) #s(hole binary32 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))) |
#s(approx (+ (* x x) 1) (fma.f32 x x #s(literal 1 binary32))) |
#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)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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)))) (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 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)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 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))) (fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 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))) (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 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 (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 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)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
#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)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
#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 (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 0 | 16 | 37 |
| 1 | 56 | 29 |
| 0 | 406 | 28 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 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) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x)))) |
(asinh.f32 (fabs.f32 x)) |
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.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)) (fabs.f32 x))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))) |
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x)) |
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (cosh.f32 (asinh.f32 x))) |
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) (cosh.f32 (asinh.f32 x))) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (cosh.f32 (asinh.f32 x))) |
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x)))) |
(+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) |
(+.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))) |
(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x))) |
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x))) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(sqrt.f32 (*.f32 x x)) |
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(pow.f32 x #s(literal 1 binary32)) |
(fabs.f32 (neg.f32 (neg.f32 x))) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 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)) |
(cosh.f32 (asinh.f32 (fabs.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 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.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 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fabs.f32 x))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)) |
(-.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 x))) |
(-.f32 (*.f32 x x) #s(literal -1 binary32)) |
(fma.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 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) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32)) |
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #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 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(+.f32 #s(literal 1 binary32) (*.f32 x x)) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(*.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(*.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32))) |
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x))) |
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x))) |
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(*.f32 (fabs.f32 x) (fabs.f32 x)) |
(*.f32 x (*.f32 x #s(literal 1 binary32))) |
(*.f32 x x) |
(sqrt.f32 (pow.f32 x #s(literal 4 binary32))) |
(pow.f32 (neg.f32 x) #s(literal 2 binary32)) |
(pow.f32 (fabs.f32 x) #s(literal 2 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)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
(neg.f32 (*.f32 (neg.f32 x) x)) |
(neg.f32 (*.f32 x (neg.f32 x))) |
#s(literal 1 binary32) |
Compiled 2 692 to 786 computations (70.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 142 | 7 | 149 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 143 | 7 | 150 |
| Status | Accuracy | Program |
|---|---|---|
| 32.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) | |
| ▶ | 33.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
| ▶ | 24.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
| ▶ | 11.0% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x) |
| ▶ | 99.5% | (copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
| 54.9% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) | |
| ▶ | 56.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
Compiled 282 to 188 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(asinh.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) 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)) |
#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 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(log1p.f32 (fabs.f32 x)) |
| Outputs |
|---|
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x))) |
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#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 (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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (* (/ 1/2 (- (fabs x) -1)) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x)))))) |
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x))))) |
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x)))) |
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (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 | |
|---|---|---|---|---|
| 81.0ms | x | @ | inf | ((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (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)) (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)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (/ 1/2 (- (fabs x) -1)) 1/2 (- (fabs x) -1) -1 (log (+ 1 (fabs x)))) |
| 58.0ms | x | @ | 0 | ((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (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)) (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)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (/ 1/2 (- (fabs x) -1)) 1/2 (- (fabs x) -1) -1 (log (+ 1 (fabs x)))) |
| 42.0ms | x | @ | -inf | ((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (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)) (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)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (/ 1/2 (- (fabs x) -1)) 1/2 (- (fabs x) -1) -1 (log (+ 1 (fabs x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 242 | 1133 |
| 1 | 662 | 1109 |
| 2 | 2787 | 1093 |
| 0 | 8850 | 987 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x))) |
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#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 (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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (* (/ 1/2 (- (fabs x) -1)) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x)))))) |
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x))))) |
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x)))) |
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (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 |
|---|
#s(approx (copysign (asinh (fabs x)) x) #s(hole binary32 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x))) |
#s(approx (copysign (asinh (fabs x)) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x)) |
#s(approx (asinh (fabs x)) #s(hole binary32 (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))))) |
#s(approx (asinh (fabs x)) (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx (fabs x) (fabs.f32 x)) |
#s(approx x #s(hole binary32 x)) |
#s(approx x 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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) 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)))) (log1p.f32 (fabs.f32 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)))) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (log1p.f32 (fabs.f32 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)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#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))) (-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32))) |
#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))) (-.f32 (fabs.f32 x) (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 (+ (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) (sqrt (+ (* x x) 1))) (fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2))))) |
#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)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#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)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (fma.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 (neg x) #s(hole binary32 (* -1 x))) |
#s(approx (neg x) (neg.f32 x)) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (log1p.f32 (fabs.f32 x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (fma.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x (log1p.f32 (fabs.f32 x)))) |
#s(approx (* (/ 1/2 (- (fabs x) -1)) x) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x)))))) |
#s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32))) |
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x))))) |
#s(approx (/ 1/2 (- (fabs x) -1)) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x)))) |
#s(approx (- (fabs x) -1) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (log (+ 1 (fabs x))) (log1p.f32 (fabs.f32 x))) |
#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)))) (log.f32 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)))) (+.f32 (/.f32 (fabs.f32 x) x) (log.f32 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)))) (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x) (log.f32 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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x) (log.f32 x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) 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))) (fma.f32 (/.f32 (fabs.f32 x) x) 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))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) 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 (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)) |
#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)) (fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
#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 (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x)) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (-.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x))) |
#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)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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)))) (neg.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 (fabs.f32 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)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f32 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))) (fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 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))) (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 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 (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f32 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)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
#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)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
#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 (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 230 |
| 0 | 52 | 183 |
| 1 | 157 | 183 |
| 0 | 1072 | 183 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(asinh.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) 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)) |
#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 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(log1p.f32 (fabs.f32 x)) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))) |
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(/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (fabs.f32 x))) |
(/.f32 (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32)))) |
(/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) |
(-.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal -1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (fabs.f32 x)))) |
(-.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) #s(literal 1 binary32)) |
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32)) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal 1 binary32)) |
(fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
#s(literal -1 binary32) |
(log.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(-.f32 (log1p.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))) |
(log1p.f32 (fabs.f32 x)) |
Compiled 6 743 to 1 104 computations (83.6% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 260 | 2 | 262 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 260 | 9 | 269 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 32.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
| ✓ | 33.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
| ✓ | 24.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
| ✓ | 11.0% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x) |
| ▶ | 45.1% | (copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
| ▶ | 54.9% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) |
| ✓ | 56.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
| ▶ | 13.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x) |
Compiled 189 to 126 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) |
(*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x) |
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) |
(/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
x |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(fabs.f32 x) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(*.f32 #s(literal -1/24 binary32) (*.f32 x x)) |
#s(literal -1/24 binary32) |
(*.f32 x x) |
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) |
(/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 3 binary32) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(log1p.f32 (fabs.f32 x)) |
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x) |
(asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(sqrt.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(literal -1/2 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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (* (* (/ x (- (fabs x) -1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (* (/ x (- (fabs x) -1)) 1/2) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x)))))) |
#s(approx (/ x (- (fabs x) -1)) #s(hole binary32 (/ x (+ 1 (fabs x))))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x)))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (/ 1/2 (+ 1 (fabs x))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
#s(approx (* -1/24 (* x x)) #s(hole binary32 (* -1/24 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) #s(hole binary32 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))) |
#s(approx (+ (/ 3 (- (fabs x) -1)) 3) #s(hole binary32 (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))))) |
#s(approx (/ 3 (- (fabs x) -1)) #s(hole binary32 (/ 3 (+ 1 (fabs x))))) |
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x))))) |
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh (* (sqrt x) (sqrt 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) (sqrt x)) #s(hole binary32 x)) |
#s(approx (sqrt x) #s(hole binary32 (sqrt 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 (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 (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (/ -1/2 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (/ (- (* -1 (pow x 2)) 1/2) x))) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (/ -1/2 (pow x 2)))) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (/ (- (* -1 (pow x 2)) 1/2) (pow x 2)))) |
#s(approx (/ -1/2 (* x x)) #s(hole binary32 (/ -1/2 (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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh (* (sqrt x) (sqrt 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 (+ (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 (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 -1)) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (* -1 (+ 1 (* 1/2 (/ 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 (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8))))))) |
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary32 (* -1 (* x (pow (sqrt -1) 2))))) |
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#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 | |
|---|---|---|---|---|
| 22.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ x (- (fabs x) -1)) 1/2) x) (* (/ x (- (fabs x) -1)) 1/2) (/ x (- (fabs x) -1)) x (- (fabs x) -1) (fabs x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* -1/24 (* x x)) -1/24 (* x x) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (/ 1/2 (- (fabs x) -1)) (log (+ 1 (fabs x))) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (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)) (* (+ (/ -1/2 (* x x)) -1) x) (+ (/ -1/2 (* x x)) -1) (/ -1/2 (* x x)) -1/2) |
| 21.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ x (- (fabs x) -1)) 1/2) x) (* (/ x (- (fabs x) -1)) 1/2) (/ x (- (fabs x) -1)) x (- (fabs x) -1) (fabs x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* -1/24 (* x x)) -1/24 (* x x) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (/ 1/2 (- (fabs x) -1)) (log (+ 1 (fabs x))) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (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)) (* (+ (/ -1/2 (* x x)) -1) x) (+ (/ -1/2 (* x x)) -1) (/ -1/2 (* x x)) -1/2) |
| 13.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ x (- (fabs x) -1)) 1/2) x) (* (/ x (- (fabs x) -1)) 1/2) (/ x (- (fabs x) -1)) x (- (fabs x) -1) (fabs x) -1 1/2 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* -1/24 (* x x)) -1/24 (* x x) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (/ 1/2 (- (fabs x) -1)) (log (+ 1 (fabs x))) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x) (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)) (* (+ (/ -1/2 (* x x)) -1) x) (+ (/ -1/2 (* x x)) -1) (/ -1/2 (* x x)) -1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 399 | 2195 |
| 1 | 1077 | 1876 |
| 2 | 4818 | 1842 |
| 0 | 8404 | 1684 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (* (* (/ x (- (fabs x) -1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (* (/ x (- (fabs x) -1)) 1/2) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x)))))) |
#s(approx (/ x (- (fabs x) -1)) #s(hole binary32 (/ x (+ 1 (fabs x))))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x)))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (/ 1/2 (+ 1 (fabs x))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
#s(approx (* -1/24 (* x x)) #s(hole binary32 (* -1/24 (pow x 2)))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) #s(hole binary32 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))) |
#s(approx (+ (/ 3 (- (fabs x) -1)) 3) #s(hole binary32 (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))))) |
#s(approx (/ 3 (- (fabs x) -1)) #s(hole binary32 (/ 3 (+ 1 (fabs x))))) |
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x))))) |
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh (* (sqrt x) (sqrt 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) (sqrt x)) #s(hole binary32 x)) |
#s(approx (sqrt x) #s(hole binary32 (sqrt 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 (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 (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (/ -1/2 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (/ (- (* -1 (pow x 2)) 1/2) x))) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (/ -1/2 (pow x 2)))) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (/ (- (* -1 (pow x 2)) 1/2) (pow x 2)))) |
#s(approx (/ -1/2 (* x x)) #s(hole binary32 (/ -1/2 (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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh (* (sqrt x) (sqrt 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 (+ (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 (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 -1)) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (* -1 (+ 1 (* 1/2 (/ 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 (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8))))))) |
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary32 (* -1 (* x (pow (sqrt -1) 2))))) |
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#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 |
|---|
#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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) 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)))) (log1p.f32 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)))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32)))) x (log1p.f32 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)))) (fma.f32 (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/720 binary32) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 x #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 x #s(literal -1 binary32))))) (*.f32 x x) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -1/8 binary32)) (-.f32 x #s(literal -1 binary32)))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32)))) x (log1p.f32 x)))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (log1p.f32 x)) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32)))) x (log1p.f32 x))) |
#s(approx (* (* (/ x (- (fabs x) -1)) 1/2) x) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (* (* (/ x (- (fabs x) -1)) 1/2) x) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32)))) x)) |
#s(approx (* (/ x (- (fabs x) -1)) 1/2) #s(hole binary32 (* 1/2 (/ x (+ 1 (fabs x)))))) |
#s(approx (* (/ x (- (fabs x) -1)) 1/2) (*.f32 #s(literal -1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32))))) |
#s(approx (/ x (- (fabs x) -1)) #s(hole binary32 (/ x (+ 1 (fabs x))))) |
#s(approx (/ x (- (fabs x) -1)) (/.f32 x (-.f32 x #s(literal -1 binary32)))) |
#s(approx x #s(hole binary32 x)) |
#s(approx (* (sqrt x) (sqrt x)) x) |
#s(approx (- (fabs x) -1) #s(hole binary32 (+ 1 (fabs x)))) |
#s(approx (- (fabs x) -1) (-.f32 x #s(literal -1 binary32))) |
#s(approx (fabs x) #s(hole binary32 (fabs x))) |
#s(approx (* (sqrt x) (sqrt x)) x) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (log1p.f32 x)) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32)))) x (log1p.f32 x))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (fma.f32 (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 x))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (/ 1/2 (+ 1 (fabs x))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (/.f32 (fma.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32)))) |
#s(approx (* -1/24 (* x x)) #s(hole binary32 (* -1/24 (pow x 2)))) |
#s(approx (* -1/24 (* x x)) (*.f32 #s(literal 1/24 binary32) (*.f32 x x))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (* x x) (*.f32 x x)) |
#s(approx (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) #s(hole binary32 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))) |
#s(approx (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -3 binary32)) (-.f32 x #s(literal -1 binary32)))) |
#s(approx (+ (/ 3 (- (fabs x) -1)) 3) #s(hole binary32 (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))))) |
#s(approx (+ (/ 3 (- (fabs x) -1)) 3) (-.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -3 binary32))) |
#s(approx (/ 3 (- (fabs x) -1)) #s(hole binary32 (/ 3 (+ 1 (fabs x))))) |
#s(approx (/ 3 (- (fabs x) -1)) (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32)))) |
#s(approx (/ 1/2 (- (fabs x) -1)) #s(hole binary32 (/ 1/2 (+ 1 (fabs x))))) |
#s(approx (/ 1/2 (- (fabs x) -1)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
#s(approx (log (+ 1 (fabs x))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (log (+ 1 (fabs x))) (log1p.f32 x)) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) (copysign.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) x) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) x (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)) #s(literal 1/6 binary32))) x)) |
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary32 x)) |
#s(approx (* (sqrt x) (sqrt x)) x) |
#s(approx (sqrt x) #s(hole binary32 (sqrt x))) |
#s(approx (sqrt x) (sqrt.f32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 x #s(literal -1 binary32))) |
#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))) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) (-.f32 x #s(literal -1 binary32)))) |
#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))) (-.f32 x (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 (+ (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) (sqrt (+ (* x x) 1))) (-.f32 x (fma.f32 (fma.f32 (fma.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 (sqrt (+ (* x x) 1)) #s(hole binary32 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (+ 1 (* 1/2 (pow x 2))))) |
#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)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#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)) #s(hole binary32 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (fma.f32 (fma.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 (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (/ -1/2 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (/.f32 #s(literal -1/2 binary32) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (/ (- (* -1 (pow x 2)) 1/2) x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (/.f32 (fma.f32 x x #s(literal -1/2 binary32)) x)) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (/ -1/2 (pow x 2)))) |
#s(approx (+ (/ -1/2 (* x x)) -1) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (/ (- (* -1 (pow x 2)) 1/2) (pow x 2)))) |
#s(approx (+ (/ -1/2 (* x x)) -1) (/.f32 (/.f32 (fma.f32 x x #s(literal -1/2 binary32)) x) x)) |
#s(approx (/ -1/2 (* x x)) #s(hole binary32 (/ -1/2 (pow x 2)))) |
#s(approx (/ -1/2 (* x x)) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) |
#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)))) (log.f32 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)))) (+.f32 (/.f32 x x) (log.f32 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)))) (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) x) #s(literal 1/2 binary32) x) x) (log.f32 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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal -3 binary32) x)) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) x) #s(literal 1/2 binary32) x) x) (log.f32 x)))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32)))) x)) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (-.f32 (/.f32 (/.f32 (log1p.f32 x) x) x) (/.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -1/8 binary32)) (-.f32 x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -1/8 binary32))) (-.f32 x #s(literal -1 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))))) |
#s(approx (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (*.f32 (+.f32 (/.f32 (log1p.f32 x) (pow.f32 x #s(literal 4 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -1/8 binary32))) (-.f32 x #s(literal -1 binary32)))) (pow.f32 x #s(literal 4 binary32)))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -1/8 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) #s(hole binary32 (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))))) |
#s(approx (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal -1/8 binary32))) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) |
#s(approx (asinh (* (sqrt x) (sqrt 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 (asinh (* (sqrt x) (sqrt x))) (-.f32 (-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) 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))) (fma.f32 (/.f32 x x) 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))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) 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 (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x) x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)) |
#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)) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
#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 (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) #s(hole binary32 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 -1)) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(literal -1 binary32)) |
#s(approx (+ (/ -1/2 (* x x)) -1) #s(hole binary32 (* -1 (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (/ -1/2 (* x x)) -1) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1 binary32))) |
#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)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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)))) (-.f32 (/.f32 x x) (log.f32 (/.f32 #s(literal -1 binary32) 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)))) (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) x) #s(literal 1/2 binary32) x) x) (log.f32 (/.f32 #s(literal -1 binary32) 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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (-.f32 x (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (pow.f32 x #s(literal 3 binary32)) (*.f32 #s(literal -3 binary32) x)) x) #s(literal -1/6 binary32) (*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32))) x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x))) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) (copysign.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (-.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (-.f32 (-.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 12 binary32)))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32))))) |
#s(approx (* (sqrt x) (sqrt x)) #s(hole binary32 (* -1 (* x (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (sqrt x)) x) |
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt x) (sqrt.f32 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary32 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 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))) (fma.f32 (/.f32 x x) 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))) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) x) x) 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 (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (-.f32 x (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary32 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 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)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x)) |
#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)) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
#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 (sqrt (+ (* x x) 1)) (*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1 binary32)) (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 443 |
| 0 | 81 | 349 |
| 1 | 272 | 337 |
| 0 | 2008 | 330 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x)) |
(*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x) |
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) |
(/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
x |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(fabs.f32 x) |
#s(literal -1 binary32) |
#s(literal 1/2 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(*.f32 #s(literal -1/24 binary32) (*.f32 x x)) |
#s(literal -1/24 binary32) |
(*.f32 x x) |
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) |
(/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 3 binary32) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(log1p.f32 (fabs.f32 x)) |
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x) |
(asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(sqrt.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(literal -1/2 binary32) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)) |
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x))) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)) |
(*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x)) |
(*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x)) |
(/.f32 (*.f32 (neg.f32 x) (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) (-.f32 x #s(literal -1 binary32))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))) |
(/.f32 (*.f32 x (*.f32 #s(literal 1/2 binary32) x)) (-.f32 x #s(literal -1 binary32))) |
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) |
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32)))) |
(*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (neg.f32 x) #s(literal 1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) |
(neg.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal -1/2 binary32))) |
(neg.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
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(/.f32 (+.f32 #s(literal 27 binary32) (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 9 binary32)) (/.f32 #s(literal 9 binary32) (-.f32 x #s(literal -1 binary32))))) |
(-.f32 (/.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 9 binary32) (-.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)))) |
(fma.f32 (/.f32 #s(literal 3 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x) #s(literal 3 binary32)) |
(fma.f32 (/.f32 #s(literal 3 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))) #s(literal 3 binary32)) |
(+.f32 (/.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 9 binary32)) (/.f32 #s(literal 9 binary32) (-.f32 x #s(literal -1 binary32))))) (/.f32 #s(literal 27 binary32) (-.f32 (+.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 2 binary32)) #s(literal 9 binary32)) (/.f32 #s(literal 9 binary32) (-.f32 x #s(literal -1 binary32)))))) |
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) |
(+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 3 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 #s(literal 3 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(/.f32 #s(literal -3 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 #s(literal 3 binary32) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -3 binary32) (-.f32 x #s(literal -1 binary32)))) |
(neg.f32 (/.f32 #s(literal 3 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
#s(literal 3 binary32) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(neg.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(log.f32 (-.f32 x #s(literal -1 binary32))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log1p.f32 (neg.f32 x))) |
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) x))) |
(log1p.f32 x) |
(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 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) x) (*.f32 x x)))) |
(asinh.f32 x) |
x |
(*.f32 (pow.f32 x #s(literal 1/4 binary32)) (pow.f32 x #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 x))) (sqrt.f32 (neg.f32 (sqrt.f32 x)))) |
(*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x))) |
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32))) |
(sqrt.f32 x) |
(/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal -1/2 binary32))) |
(pow.f32 (sqrt.f32 x) #s(literal 1 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1/4 binary32)) |
(pow.f32 x #s(literal 1/2 binary32)) |
(fabs.f32 (neg.f32 (sqrt.f32 x))) |
(fabs.f32 (sqrt.f32 x)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 1/2 binary32))) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x)) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) (*.f32 x x)))) |
(/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32)) (*.f32 x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x)) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) (*.f32 x x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 2 binary32)) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))))) |
(-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (neg.f32 x)) |
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) (*.f32 x x)))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) x) |
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))) |
(*.f32 x (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) |
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) |
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) x) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 x (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) |
(/.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(fma.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) |
(fma.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) |
(fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x (*.f32 #s(literal -1 binary32) x)) |
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) |
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) |
(fma.f32 #s(literal -1 binary32) x (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) |
(fma.f32 #s(literal -1 binary32) x (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) |
(fma.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 #s(literal -1 binary32) x)) |
(fma.f32 x #s(literal -1 binary32) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) |
(fma.f32 x #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x) (*.f32 #s(literal -1 binary32) x)) |
(+.f32 (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (*.f32 #s(literal -1 binary32) x)) |
(+.f32 (*.f32 #s(literal -1 binary32) x) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) x)) |
(+.f32 (*.f32 #s(literal -1 binary32) x) (*.f32 x (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) |
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (neg.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32))) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))) |
(/.f32 (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) |
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))) |
(/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))) |
(+.f32 (/.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (/.f32 #s(literal -1 binary32) (-.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))) |
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) |
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) x) (sqrt.f32 x)) (sqrt.f32 x)) |
(/.f32 (/.f32 #s(literal -1/2 binary32) (neg.f32 x)) (neg.f32 x)) |
(/.f32 (neg.f32 (/.f32 #s(literal -1/2 binary32) x)) (neg.f32 x)) |
(/.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 x) x)) |
(neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
#s(literal -1/2 binary32) |
Compiled 21 386 to 2 710 computations (87.3% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 511 | 12 | 523 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 3 | 2 | 5 |
| Total | 516 | 16 | 532 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 32.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
| ✓ | 33.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
| ✓ | 24.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
| ▶ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
| ▶ | 12.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x) |
| 12.9% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x) | |
| ▶ | 12.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x) |
| 12.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) x))) x) | |
| ✓ | 13.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x) |
| 12.9% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) | |
| 6.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x) | |
| 6.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x) | |
| ▶ | 6.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x) |
| 54.6% | (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) x) | |
| 54.7% | (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x) | |
| ▶ | 55.4% | (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x) |
Compiled 849 to 562 computations (33.8% saved)
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
x |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x) |
#s(approx (asinh (* (sqrt x) (sqrt x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)) |
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(-.f32 x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 x x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) x) |
(*.f32 #s(literal 1/2 binary32) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x)) |
(*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x) |
(*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) |
(sqrt.f32 x) |
(/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 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 (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 1/2)) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* -1/2 x)))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 x) 1/2))))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))) |
#s(approx (- x -1) #s(hole binary32 1)) |
#s(approx (- x -1) #s(hole binary32 (+ 1 x))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (* (* 1/2 x) x) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* -1/2 x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 x)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* -1 x))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- x 1)))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))) |
#s(approx (sqrt x) #s(hole binary32 (sqrt x))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt x))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* -1 (sqrt (pow x 3)))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x))))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (* -1 (sqrt x)) (* x (+ (sqrt x) (* -1 (sqrt (pow x 3)))))))))) |
#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 (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh (* (sqrt x) (sqrt 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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x)))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ 1/2 x))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x))) |
#s(approx (- x -1) #s(hole binary32 x)) |
#s(approx (- x -1) #s(hole binary32 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 x))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 1/2)) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- 1/2 (* 1/2 (/ 1 x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 1)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- 1 (/ 1 x)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt (/ 1 x)))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (sqrt (/ 1 (pow x 7))))))))) |
#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 (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -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))) (* -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 (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2))))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1/2 (* x (pow (sqrt -1) 2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* -1/2 (pow (sqrt -1) 2)))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2))) x)) (* -1/2 (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* -1 (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (pow (sqrt -1) 2)) (/ (pow (sqrt -1) 2) x)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2))))) |
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((copysign (asinh x) x) (asinh x) x (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- x -1)) (* x x)) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (* x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/ (* (* 1/2 x) x) (- x -1)) (* (* 1/2 x) x) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (* (sqrt x) (/ (sqrt x) (- x -1))) (sqrt x) (/ (sqrt x) (- x -1))) |
| 7.0ms | x | @ | -inf | ((copysign (asinh x) x) (asinh x) x (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- x -1)) (* x x)) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (* x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/ (* (* 1/2 x) x) (- x -1)) (* (* 1/2 x) x) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (* (sqrt x) (/ (sqrt x) (- x -1))) (sqrt x) (/ (sqrt x) (- x -1))) |
| 5.0ms | x | @ | 0 | ((copysign (asinh x) x) (asinh x) x (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- x -1)) (* x x)) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (* x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/ (* (* 1/2 x) x) (- x -1)) (* (* 1/2 x) x) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (* (sqrt x) (/ (sqrt x) (- x -1))) (sqrt x) (/ (sqrt x) (- x -1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 491 | 2777 |
| 1 | 1247 | 2489 |
| 0 | 5383 | 2388 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#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 (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 1/2)) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* -1/2 x)))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 x) 1/2))))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))) |
#s(approx (- x -1) #s(hole binary32 1)) |
#s(approx (- x -1) #s(hole binary32 (+ 1 x))) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (* (* 1/2 x) x) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* -1/2 x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 x)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* -1 x))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- x 1)))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))) |
#s(approx (sqrt x) #s(hole binary32 (sqrt x))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt x))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* -1 (sqrt (pow x 3)))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x))))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (* -1 (sqrt x)) (* x (+ (sqrt x) (* -1 (sqrt (pow x 3)))))))))) |
#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 (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh (* (sqrt x) (sqrt 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 (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x)))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ 1/2 x))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x))) |
#s(approx (- x -1) #s(hole binary32 x)) |
#s(approx (- x -1) #s(hole binary32 (* x (+ 1 (/ 1 x))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 x))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x)))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 1/2)) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- 1/2 (* 1/2 (/ 1 x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 1)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- 1 (/ 1 x)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt (/ 1 x)))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (sqrt (/ 1 (pow x 7))))))))) |
#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 (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -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))) (* -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 (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2))))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2))))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2))))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1/2 (* x (pow (sqrt -1) 2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* -1/2 (pow (sqrt -1) 2)))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2))) x)) (* -1/2 (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* -1 (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (pow (sqrt -1) 2)) (/ (pow (sqrt -1) 2) x)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2))))) |
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x))))) |
| Outputs |
|---|
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)) |
#s(approx (asinh x) #s(hole binary32 x)) |
#s(approx (asinh x) x) |
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) |
#s(approx (asinh x) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) |
#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 (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) x) x) #s(literal 1/6 binary32)) x)) |
#s(approx x #s(hole binary32 x)) |
#s(approx x x) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 x)) |
#s(approx (asinh x) x) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (asinh x) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -5/112 binary32) (*.f32 x x) #s(literal 3/40 binary32)) x) x) #s(literal 1/6 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 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) 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)))) (log1p.f32 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)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x (log1p.f32 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)))) (fma.f32 (fma.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) x))) x) 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)))) #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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (-.f32 (/.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 (/.f32 #s(literal -1/8 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) x) #s(literal 2 binary32))) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) x)))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x) (log1p.f32 x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (log (+ 1 (fabs x))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (log1p.f32 x)) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x (log1p.f32 x))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) x)) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x)) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x)) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 1/2)) |
#s(approx (/ 1/2 (- x -1)) #s(literal 1/2 binary32)) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* -1/2 x)))) |
#s(approx (/ 1/2 (- x -1)) (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* 1/2 x) 1/2))))) |
#s(approx (/ 1/2 (- x -1)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))))) |
#s(approx (/ 1/2 (- x -1)) (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32))) |
#s(approx (- x -1) #s(hole binary32 1)) |
#s(approx (- x -1) #s(literal 1 binary32)) |
#s(approx (- x -1) #s(hole binary32 (+ 1 x))) |
#s(approx (- x -1) (+.f32 #s(literal 1 binary32) x)) |
#s(approx (* x x) #s(hole binary32 (pow x 2))) |
#s(approx (* x x) (*.f32 x x)) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) x)) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x)) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x)) |
#s(approx (* (* 1/2 x) x) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* (* 1/2 x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) |
#s(approx (* 1/2 x) #s(hole binary32 (* 1/2 x))) |
#s(approx (* 1/2 x) (*.f32 #s(literal 1/2 binary32) x)) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 (pow x 2)))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* -1/2 x))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) x)) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x)) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x)) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (*.f32 #s(literal 1/2 binary32) x)) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* -1/2 x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x)) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* 1/2 x) 1/2)))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x)) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 x)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) x) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* -1 x))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (*.f32 (-.f32 #s(literal 1 binary32) x) x)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- x 1)))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (*.f32 (fma.f32 (-.f32 x #s(literal 1 binary32)) x #s(literal 1 binary32)) x)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (*.f32 (fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) x #s(literal 1 binary32)) x)) |
#s(approx (sqrt x) #s(hole binary32 (sqrt x))) |
#s(approx (sqrt x) (sqrt.f32 x)) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt x))) |
#s(approx (/ (sqrt x) (- x -1)) (sqrt.f32 x)) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* -1 (sqrt (pow x 3)))))) |
#s(approx (/ (sqrt x) (- x -1)) (-.f32 (sqrt.f32 x) (sqrt.f32 (pow.f32 x #s(literal 3 binary32))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (sqrt (pow x 3)) (* -1 (sqrt x))))))) |
#s(approx (/ (sqrt x) (- x -1)) (fma.f32 (-.f32 (sqrt.f32 (pow.f32 x #s(literal 3 binary32))) (sqrt.f32 x)) x (sqrt.f32 x))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt x) (* x (+ (* -1 (sqrt x)) (* x (+ (sqrt x) (* -1 (sqrt (pow x 3)))))))))) |
#s(approx (/ (sqrt x) (- x -1)) (fma.f32 (fma.f32 (-.f32 (sqrt.f32 x) (sqrt.f32 (pow.f32 x #s(literal 3 binary32)))) x (neg.f32 (sqrt.f32 x))) x (sqrt.f32 x))) |
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh x) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (asinh x) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh x) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#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) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) |
#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))))) |
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#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh x) (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32)))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh x) (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
#s(approx (asinh (* (sqrt x) (sqrt 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) (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32))))) |
#s(approx (asinh (* (sqrt x) (sqrt 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))))) |
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#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)))) (log.f32 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)))) (+.f32 (log.f32 x) #s(literal 1 binary32))) |
#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))))) |
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#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)))))) |
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#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) x)) x) x)) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(hole binary32 (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (-.f32 (/.f32 (/.f32 (log1p.f32 x) x) x) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1 binary32) x))) (*.f32 x x))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 #s(literal 1/2 binary32) x)) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))) |
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#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))) |
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#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ 1/2 x))) |
#s(approx (/ 1/2 (- x -1)) (/.f32 #s(literal 1/2 binary32) x)) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) |
#s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x))) |
#s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x)) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x))) |
#s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) |
#s(approx (- x -1) #s(hole binary32 x)) |
#s(approx (- x -1) x) |
#s(approx (- x -1) #s(hole binary32 (* x (+ 1 (/ 1 x))))) |
#s(approx (- x -1) (+.f32 #s(literal 1 binary32) x)) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 #s(literal 1/2 binary32) x)) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x)) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))) |
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#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* 1/2 x))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 #s(literal 1/2 binary32) x)) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- 1/2 (* 1/2 (/ 1 x)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x)) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32)))) x)) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 1/2)) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(literal 1/2 binary32)) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- 1/2 (* 1/2 (/ 1 x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) (/.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 3 binary32))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 1)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(literal 1 binary32)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- 1 (/ 1 x)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (sqrt (/ 1 x)))) |
#s(approx (/ (sqrt x) (- x -1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 (pow x 3))))))) |
#s(approx (/ (sqrt x) (- x -1)) (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (* -1 (sqrt (/ 1 (pow x 3)))))))) |
#s(approx (/ (sqrt x) (- x -1)) (+.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x)))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (sqrt (/ 1 x)) (+ (sqrt (/ 1 (pow x 5))) (+ (* -1 (sqrt (/ 1 (pow x 3)))) (* -1 (sqrt (/ 1 (pow x 7))))))))) |
#s(approx (/ (sqrt x) (- x -1)) (-.f32 (+.f32 (-.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) x))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 7 binary32)))))) |
#s(approx (copysign (asinh x) x) #s(hole binary32 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x)) |
#s(approx (asinh x) #s(hole binary32 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (asinh x) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32)))) |
#s(approx (asinh x) #s(hole binary32 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) (-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
#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) (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x)))) |
#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 (asinh x) (-.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))))) |
#s(approx (copysign (asinh (* (sqrt x) (sqrt x))) x) #s(hole binary32 (copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x))) |
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#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))))) |
#s(approx (asinh x) (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))))) |
#s(approx (asinh x) (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))))) |
#s(approx (asinh x) (-.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (/.f32 #s(literal -1/4 binary32) (*.f32 x x)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32)))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32))))) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(hole binary32 (- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8))))))) |
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#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)))) (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) 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)))) (-.f32 #s(literal -1 binary32) (log.f32 (/.f32 #s(literal -1 binary32) 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)))) (-.f32 (+.f32 #s(literal -1 binary32) (/.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32)) x) x)) (log.f32 (/.f32 #s(literal -1 binary32) 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 (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (/.f32 (-.f32 x (/.f32 (fma.f32 (fma.f32 (pow.f32 x #s(literal 3 binary32)) (/.f32 #s(literal 2 binary32) x) #s(literal -3 binary32)) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x)))) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x)) |
#s(approx (* (/ 1/2 (- x -1)) (* x x)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (neg.f32 x) (-.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x)))) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)))) |
#s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)))) |
#s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x)) |
#s(approx (/ 1/2 (- x -1)) #s(hole binary32 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)))) |
#s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x)) (neg.f32 x))) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x)) |
#s(approx (/ (* (* 1/2 x) x) (- x -1)) #s(hole binary32 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (neg.f32 x) (-.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x)))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1/2 (* x (pow (sqrt -1) 2))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 #s(literal 1/2 binary32) x)) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x)) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) #s(hole binary32 (* -1 (* x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (sqrt -1) 2) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))) x)) (* 1/2 (pow (sqrt -1) 2))))))) |
#s(approx (* (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) x) (*.f32 (neg.f32 x) (-.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x)))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (* -1/2 (pow (sqrt -1) 2)))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(literal 1/2 binary32)) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(hole binary32 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (pow (sqrt -1) 2)) (* 1/2 (/ (pow (sqrt -1) 2) x))) x)) (* -1/2 (pow (sqrt -1) 2))) x)) (* -1/2 (pow (sqrt -1) 2))))) |
#s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (* -1 (pow (sqrt -1) 2)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(literal 1 binary32)) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (pow (sqrt -1) 2)) (/ (pow (sqrt -1) 2) x)))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (-.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) x) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) #s(hole binary32 (+ (* -1 (/ (- (* -1 (/ (- (/ (pow (sqrt -1) 2) x) (pow (sqrt -1) 2)) x)) (pow (sqrt -1) 2)) x)) (* -1 (pow (sqrt -1) 2))))) |
#s(approx (* (sqrt x) (/ (sqrt x) (- x -1))) (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) x) #s(literal -1 binary32)) x) #s(literal -1 binary32) #s(literal 1 binary32)) x) #s(literal -1 binary32) #s(literal 1 binary32))) |
#s(approx (sqrt x) #s(hole binary32 (* -1 (* (sqrt x) (pow (sqrt -1) 2))))) |
#s(approx (sqrt x) (sqrt.f32 x)) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))) |
#s(approx (/ (sqrt x) (- x -1)) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) |
#s(approx (/ (sqrt x) (- x -1)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32)))))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))))) |
#s(approx (/ (sqrt x) (- x -1)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x))) |
#s(approx (/ (sqrt x) (- x -1)) #s(hole binary32 (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* -1 (/ (+ (* -1 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))) (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) x))) x))))) |
#s(approx (/ (sqrt x) (- x -1)) (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (/.f32 (-.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) x)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 3 binary32))))) x)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 423 |
| 0 | 63 | 325 |
| 1 | 180 | 325 |
| 0 | 1089 | 298 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
x |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x) |
#s(approx (asinh (* (sqrt x) (sqrt x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)) |
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(-.f32 x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 x x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) x) |
(*.f32 #s(literal 1/2 binary32) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x)) |
(*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x) |
(*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) |
(sqrt.f32 x) |
(/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) |
| 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 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) x) (*.f32 x x)))) |
(asinh.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) (sqrt.f32 x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)) |
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (*.f32 x (sqrt.f32 x)) (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (sqrt.f32 x)) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))) |
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 (sqrt.f32 x) (*.f32 #s(literal 1/2 binary32) x))) |
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) x)) |
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x))) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)) |
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) x) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x)) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32))))) |
(*.f32 x (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))) |
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))) |
(neg.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (-.f32 x #s(literal -1 binary32)))) |
(neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(neg.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
#s(literal 1/2 binary32) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) x))) |
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal 1 binary32))) |
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) x)) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) x)) |
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) x))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) x)) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) x))) |
(-.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) x))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32))))) |
(-.f32 #s(literal 1 binary32) (neg.f32 x)) |
(-.f32 x #s(literal -1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)) (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(+.f32 #s(literal 1 binary32) x) |
(+.f32 x #s(literal 1 binary32)) |
#s(literal -1 binary32) |
(*.f32 (*.f32 (*.f32 x x) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(*.f32 (*.f32 x (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) (*.f32 (neg.f32 x) #s(literal -1 binary32))) |
(*.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal -1 binary32) x) (*.f32 #s(literal -1 binary32) x)) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) x)) |
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) x)) |
(*.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 x x) |
(sqrt.f32 (pow.f32 x #s(literal 4 binary32))) |
(pow.f32 (neg.f32 x) #s(literal 2 binary32)) |
(pow.f32 (sqrt.f32 x) #s(literal 4 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)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
(neg.f32 (*.f32 (neg.f32 x) x)) |
(neg.f32 (*.f32 x (neg.f32 x))) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) (sqrt.f32 x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)) |
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (*.f32 x (sqrt.f32 x)) (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (sqrt.f32 x)) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))) |
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 (sqrt.f32 x) (*.f32 #s(literal 1/2 binary32) x))) |
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) x)) |
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x))) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)) |
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) x) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x)) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32))))) |
(*.f32 x (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))) |
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))) |
(neg.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (-.f32 x #s(literal -1 binary32)))) |
(neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 x)) (neg.f32 x)) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 #s(literal 1/2 binary32) x))) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 #s(literal 1/2 binary32) x))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) x) |
(*.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(*.f32 x (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32))) |
(*.f32 #s(literal 1/2 binary32) x) |
(*.f32 x #s(literal 1/2 binary32)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) (sqrt.f32 x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x)) |
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (*.f32 x (sqrt.f32 x)) (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) (sqrt.f32 x)) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))) |
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x)) |
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 (sqrt.f32 x) (*.f32 #s(literal 1/2 binary32) x))) |
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) x)) |
(*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 #s(literal 1/2 binary32) x))) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) x) (/.f32 x (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)) |
(*.f32 (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) x) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) x)) |
(*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (-.f32 x #s(literal -1 binary32))))) |
(*.f32 x (*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32))) |
(/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x))) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))) |
(neg.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (-.f32 x #s(literal -1 binary32)))) |
(neg.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 x)) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (/.f32 x (-.f32 x #s(literal -1 binary32))) #s(literal 1/2 binary32)) |
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32))) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) |
(*.f32 (sqrt.f32 x) (/.f32 (*.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 x #s(literal -1 binary32)))) |
(*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) |
(*.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 x (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(*.f32 (neg.f32 (sqrt.f32 x)) (/.f32 (neg.f32 (sqrt.f32 x)) (-.f32 x #s(literal -1 binary32)))) |
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) |
(*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 x) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 x (-.f32 x #s(literal -1 binary32))) |
(*.f32 (pow.f32 x #s(literal 1/4 binary32)) (pow.f32 x #s(literal 1/4 binary32))) |
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 x))) (sqrt.f32 (neg.f32 (sqrt.f32 x)))) |
(*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x))) |
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 x) #s(literal 1/2 binary32))) |
(sqrt.f32 x) |
(pow.f32 (sqrt.f32 x) #s(literal 1 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1/4 binary32)) |
(pow.f32 x #s(literal 1/2 binary32)) |
(fabs.f32 (neg.f32 (sqrt.f32 x))) |
(fabs.f32 (sqrt.f32 x)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (sqrt.f32 x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 (sqrt.f32 x) (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) x #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 x))) (neg.f32 (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 x)) (-.f32 x #s(literal -1 binary32)))) |
(neg.f32 (/.f32 (sqrt.f32 x) (neg.f32 (-.f32 x #s(literal -1 binary32))))) |
Compiled 14 075 to 1 801 computations (87.2% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 326 | 10 | 336 |
| Fresh | 1 | 6 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 330 | 22 | 352 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 32.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
| ✓ | 33.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
| ✓ | 24.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
| 17.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) #s(approx (- x -1) x)))) x) | |
| 6.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x))))) x) | |
| 17.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) #s(approx (- x -1) x)) (*.f32 x x)))) x) | |
| 12.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) x))) x) | |
| ✓ | 13.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x) |
| 11.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) (*.f32 x x)))) x) | |
| 12.9% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) | |
| 6.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x) | |
| 6.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x) | |
| 6.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x))) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x) | |
| 9.9% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) #s(approx (- x -1) x))) #s(literal 1/2 binary32)) x))) x) | |
| 6.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))) #s(literal 1/2 binary32)) x))) x) | |
| 9.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) (*.f32 x x)))) x) | |
| 11.4% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) x))) x) | |
| 20.4% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(literal 1/2 binary32)) x))) x) | |
| 54.6% | (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) x) | |
| 54.7% | (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x) | |
| ✓ | 55.4% | (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x) |
Compiled 1 792 to 701 computations (60.9% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) #s(approx (- x -1) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) #s(approx (- x -1) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) #s(approx (- x -1) x))) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x))) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 (asinh.f32 x) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x)) x) |
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f32 x)))) x) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) 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)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
2 calls:
| 11.0ms | x |
| 7.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 99.5% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Total -16.7b remaining (-116.8%)
Threshold costs -16.7b (-116.8%)
| Inputs |
|---|
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (* (sqrt x) (/ (sqrt x) (- x -1))) 1/2) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) #s(approx (- x -1) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) #s(approx (- x -1) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) #s(approx (- x -1) x))) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 x) (*.f32 (/.f32 (sqrt.f32 x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) x))) #s(literal 1/2 binary32)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (sqrt.f32 x)) (sqrt.f32 (sqrt.f32 x))) (/.f32 (sqrt.f32 x) (-.f32 x #s(literal -1 binary32)))) #s(literal 1/2 binary32)) x))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x) |
2 calls:
| 8.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.4% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 55.4% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 10 |
| 1 | 13 | 10 |
| 2 | 25 | 10 |
| 3 | 36 | 10 |
| 1× | saturated |
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) x) x) |
| 1× | fuel |
Compiled 14 to 8 computations (42.9% saved)
Compiled 92 to 54 computations (41.3% saved)
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