
Time bar (total: 2.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 4 to 4 computations (0% saved)
| 399.0ms | 8 256× | 0 | valid |
ival-asinh: 189.0ms (97.6% of total)ival-assert: 3.0ms (1.5% of total)adjust: 2.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 130 | 0 | - | 0 | - | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 63 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (fabs.f64 x) |
| 0 | 0 | - | 0 | - | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 130 | 1 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 63 | 0 |
| ↳ | (*.f64 x x) | overflow | 63 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 63 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 193 | 0 |
| - | 0 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 193 | 0 | 0 |
| - | 0 | 1 | 62 |
| number | freq |
|---|---|
| 0 | 63 |
| 1 | 193 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 73.0ms | 92× | 2 | valid |
| 47.0ms | 164× | 1 | valid |
| 28.0ms | 256× | 0 | valid |
Compiled 114 to 31 computations (72.8% saved)
ival-log: 53.0ms (44.8% of total)ival-hypot: 29.0ms (24.5% of total)adjust: 10.0ms (8.5% of total)ival-fabs: 8.0ms (6.8% of total)ival-copysign: 7.0ms (5.9% of total)ival-add: 7.0ms (5.9% of total)ival-mult: 4.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 0 | 9 | 12 |
| 0 | 16 | 12 |
| 1 | 24 | 12 |
| 2 | 45 | 12 |
| 3 | 85 | 12 |
| 4 | 144 | 12 |
| 5 | 351 | 12 |
| 6 | 2401 | 12 |
| 7 | 5914 | 12 |
| 0 | 8153 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 29.3% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(fabs.f64 x) |
x |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (fabs x) #s(hole binary64 (fabs x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (+ (* x x) 1) #s(hole binary64 1)) |
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1) |
| 2.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1) |
| 2.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 226 | 1103 |
| 0 | 238 | 900 |
| 1 | 1345 | 759 |
| 0 | 8449 | 710 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(fabs.f64 x) |
x |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (fabs x) #s(hole binary64 (fabs x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (+ (* x x) 1) #s(hole binary64 1)) |
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2)))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
| Outputs |
|---|
(copysign.f64 (asinh.f64 x) x) |
(asinh.f64 x) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))) |
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x)) |
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (cosh.f64 (asinh.f64 x)) x)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (cosh.f64 (asinh.f64 x)) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))) |
(/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x (cosh.f64 (asinh.f64 x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (cosh.f64 (asinh.f64 x)))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x (cosh.f64 (asinh.f64 x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x)))))) (/.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))) |
(+.f64 (cosh.f64 (asinh.f64 x)) x) |
(+.f64 x (cosh.f64 (asinh.f64 x))) |
x |
x |
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (exp.f64 (asinh.f64 x)) (exp.f64 (neg.f64 (asinh.f64 x)))) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(cosh.f64 (neg.f64 (asinh.f64 x))) |
(cosh.f64 (asinh.f64 (neg.f64 x))) |
(cosh.f64 (asinh.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (cosh.f64 (asinh.f64 x))) (neg.f64 (cosh.f64 (asinh.f64 x)))) |
(*.f64 (fabs.f64 (cosh.f64 (asinh.f64 x))) (fabs.f64 (cosh.f64 (asinh.f64 x)))) |
(*.f64 (cosh.f64 (asinh.f64 x)) (cosh.f64 (asinh.f64 x))) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
#s(literal 1 binary64) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (log1p.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x) #s(literal 1 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64))) |
#s(approx (fabs x) x) |
#s(approx (fabs x) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (+ (* x x) 1) #s(literal 1 binary64)) |
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 x x) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 x x)) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) x) (/.f64 x x))) (log.f64 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (/.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (+ (* x x) 1) (*.f64 x x)) |
#s(approx (+ (* x x) 1) (fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 (neg.f64 x) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal -1/2 binary64) x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) x) #s(literal -1/6 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) x) x) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))) |
Compiled 2 180 to 626 computations (71.3% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 105 | 4 | 109 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 106 | 4 | 110 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 24.1% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
| ▶ | 29.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
| ▶ | 28.1% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x))) x) |
| ▶ | 99.8% | (copysign.f64 (asinh.f64 x) x) |
Compiled 58 to 42 computations (27.6% saved)
| Inputs |
|---|
(copysign.f64 (asinh.f64 x) x) |
(asinh.f64 x) |
x |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x)) |
(*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x) |
(+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 x x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)) |
(fabs.f64 x) |
#s(approx (sqrt (+ (* x x) 1)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
(neg.f64 x) |
| Outputs |
|---|
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (asinh x) #s(hole binary64 x)) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) #s(hole binary64 (/ (+ 1/2 (* 2 (pow x 2))) x))) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) #s(hole binary64 (/ 1/2 (pow x 2)))) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) #s(hole binary64 (/ (+ 1/2 (* 2 (pow x 2))) (pow x 2)))) |
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ 1/2 (pow x 2)))) |
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2)))) |
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx (/ x x) #s(hole binary64 1)) |
#s(approx (fabs x) #s(hole binary64 (fabs x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))))) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) #s(hole binary64 (* 2 x))) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) #s(hole binary64 2)) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) #s(hole binary64 (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | ((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) (+ (* (pow x -2) 1/2) 1) (pow x -2) -2 1/2 1 (/ x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x)) |
| 2.0ms | x | @ | 0 | ((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) (+ (* (pow x -2) 1/2) 1) (pow x -2) -2 1/2 1 (/ x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x)) |
| 2.0ms | x | @ | -inf | ((copysign (asinh x) x) (asinh x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) (+ (* (pow x -2) 1/2) 1) (pow x -2) -2 1/2 1 (/ x x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (sqrt (+ (* x x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (neg x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 325 | 1703 |
| 0 | 347 | 1365 |
| 1 | 1904 | 1192 |
| 0 | 9649 | 1133 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 (asinh.f64 x) x) |
(asinh.f64 x) |
x |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x)) |
(*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x) |
(+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(pow.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(/.f64 x x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x)) |
(fabs.f64 x) |
#s(approx (sqrt (+ (* x x) 1)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
(neg.f64 x) |
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (asinh x) #s(hole binary64 x)) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (asinh x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) #s(hole binary64 (/ (+ 1/2 (* 2 (pow x 2))) x))) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) #s(hole binary64 (/ 1/2 (pow x 2)))) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) #s(hole binary64 (/ (+ 1/2 (* 2 (pow x 2))) (pow x 2)))) |
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ 1/2 (pow x 2)))) |
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (/ (+ 1/2 (pow x 2)) (pow x 2)))) |
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2)))) |
#s(approx (/ x x) #s(hole binary64 1)) |
#s(approx (fabs x) #s(hole binary64 (fabs x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (neg x) #s(hole binary64 (* -1 x))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))))) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) #s(hole binary64 (* 2 x))) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) #s(hole binary64 2)) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) #s(hole binary64 (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 1)) |
#s(approx (+ (* (pow x -2) 1/2) 1) #s(hole binary64 (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (copysign (asinh x) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (asinh x) #s(hole binary64 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (asinh x) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
| Outputs |
|---|
(copysign.f64 (asinh.f64 x) x) |
(asinh.f64 x) |
(-.f64 (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 x)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (log.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (*.f64 (cosh.f64 (asinh.f64 x)) (neg.f64 x)))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (cosh.f64 (asinh.f64 x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (cosh.f64 (asinh.f64 x))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 x (cosh.f64 (asinh.f64 x))))) |
(log.f64 (+.f64 (cosh.f64 (asinh.f64 x)) x)) |
x |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) |
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x) |
(*.f64 x (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) (*.f64 x (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))))) |
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#s(approx (sqrt (+ (* x x) 1)) x) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)) x) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)))) (log.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)))) (log.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)) |
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64))) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (-.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) #s(literal 2 binary64)) (*.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))))))) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) x) |
(+.f64 x #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(neg.f64 x) |
#s(approx (copysign (asinh x) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
#s(approx (fabs x) x) |
#s(approx (copysign (asinh x) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64) (log1p.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) x))) #s(literal -1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 x x) (log1p.f64 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 #s(literal 1 binary64) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal 1 binary64))) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (+ (* (pow x -2) 1/2) 1) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (+ (* (pow x -2) 1/2) 1) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (pow x -2) (pow.f64 x #s(literal -2 binary64))) |
#s(approx (/ x x) #s(literal 1 binary64)) |
#s(approx (fabs x) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (neg x) (neg.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (log.f64 x) #s(literal 1 binary64))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 2 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal 1 binary64))) (log.f64 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (* (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) #s(literal 2 binary64)) |
#s(approx (+ (+ (* (pow x -2) 1/2) 1) (/ x x)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (+ (* (pow x -2) 1/2) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (pow x -2) 1/2) 1) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (copysign (asinh x) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 5/96 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) #s(literal -1 binary64))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal -1/2 binary64) x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) x) #s(literal -1/6 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) #s(literal 0 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) x) x) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))))) |
Compiled 8 380 to 1 575 computations (81.2% saved)
8 alts after pruning (6 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 265 | 6 | 271 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 0 | 0 |
| Total | 267 | 8 | 275 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 24.1% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
| ▶ | 28.2% | (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
| 14.0% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x))) x) | |
| ✓ | 99.8% | (copysign.f64 (asinh.f64 x) x) |
| ▶ | 53.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
| ▶ | 53.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
| ▶ | 53.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
| ▶ | 53.4% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
Compiled 283 to 190 computations (32.9% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
x |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) |
#s(literal -5/112 binary64) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) |
#s(approx (sqrt (+ (* x x) 1)) x) |
| Outputs |
|---|
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (* 3/40 (* x x)) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40)) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2))))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 1)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 3/40 (pow x 5)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 3/40 (pow x 4)))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -5/112 (pow x 7)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -5/112 (pow x 6)))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* -5/112 (pow x 4)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* -5/112 (pow x 4)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1))) |
| 3.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1))) |
| 3.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* -1/6 (* x x)) 1) x) (+ (* -1/6 (* x x)) 1) -1/6 (* x x) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) (- (* 3/40 (* x x)) 1/6) (* 3/40 (* x x)) 3/40 1/6 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (+ (* -5/112 (* x x)) 3/40) -5/112 (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 428 | 3160 |
| 0 | 463 | 2774 |
| 1 | 2230 | 2548 |
| 0 | 9668 | 2499 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
x |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal -1/6 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 #s(literal 3/40 binary64) (*.f64 x x)) |
#s(literal 3/40 binary64) |
#s(literal 1/6 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) |
#s(literal -5/112 binary64) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (* 3/40 (* x x)) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow x 2))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 -1/6)) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* 3/40 (pow x 2)) 1/6))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 3/40)) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (+ 3/40 (* -5/112 (pow x 2))))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* -1/6 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 1)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* 1/2 x)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 1)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* 1/2 (pow x 2))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1/6 (pow x 3)))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* (pow x 3) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* -1/6 (pow x 2)))) |
#s(approx (+ (* -1/6 (* x x)) 1) #s(hole binary64 (* (pow x 2) (- (/ 1 (pow x 2)) 1/6)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* 3/40 (pow x 5)))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* 3/40 (pow x 4)))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 4) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* 3/40 (pow x 2)))) |
#s(approx (- (* 3/40 (* x x)) 1/6) #s(hole binary64 (* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -5/112 (pow x 7)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* (pow x 7) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* -5/112 (pow x 6)))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) #s(hole binary64 (* (pow x 6) (- (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* -5/112 (pow x 4)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) (+ 5/112 (/ 1/6 (pow x 4))))))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* -5/112 (pow x 4)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) #s(hole binary64 (* (pow x 4) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* -5/112 (pow x 2)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) #s(hole binary64 (* (pow x 2) (- (* 3/40 (/ 1 (pow x 2))) 5/112)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* 2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 x)) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- 5/112 (* 3/40 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (* 3/40 (/ 1 (pow x 2)))))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) #s(hole binary64 (* -1 (* (pow x 7) (- (+ 5/112 (/ 1/6 (pow x 4))) (+ (* 3/40 (/ 1 (pow x 2))) (/ 1 (pow x 6)))))))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) #s(hole binary64 (copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (+ (log 1/2) (log (/ -1 x))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) #s(hole binary64 (- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (/ -1/2 x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) #s(hole binary64 (* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(hole binary64 (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))))) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x) x) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) x) |
x |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) x) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64)) x) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x))))) |
(+.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) x)) |
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) |
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#s(approx (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -5/112 binary64))) |
#s(approx (* (+ (* -5/112 (* x x)) 3/40) (* x x)) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) (*.f64 (*.f64 x x) #s(literal -5/112 binary64))) |
#s(approx (+ (* -5/112 (* x x)) 3/40) (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64)) #s(literal 5/112 binary64)) (*.f64 x x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f64 (*.f64 #s(literal 2 binary64) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (+.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (+.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -6 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) |
#s(approx (sqrt (+ (* x x) 1)) x) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 (neg.f64 x) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) x) #s(literal -1/2 binary64) x) x)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) x) #s(literal -1/6 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal 1/2 binary64))) x) #s(literal -1 binary64) x) x) #s(literal -1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (* (+ (* -1/6 (* x x)) 1) x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (- (* 3/40 (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/6 binary64)) #s(literal 3/40 binary64)) (pow.f64 x #s(literal -4 binary64))) (pow.f64 x #s(literal 5 binary64))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 #s(literal 5/112 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 7 binary64))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64))) (pow.f64 x #s(literal 7 binary64))))) |
#s(approx (* (+ (* (- (* (+ (* -5/112 (* x x)) 3/40) (* x x)) 1/6) (* x x)) 1) x) (neg.f64 (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 5/112 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3/40 binary64) (pow.f64 x #s(literal -6 binary64)))) (pow.f64 x #s(literal 7 binary64))))) |
#s(approx (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64))))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) x)) (-.f64 (+.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal -6 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -2 binary64)))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (/.f64 #s(literal -1/2 binary64) x)) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) x) (neg.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (fma.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal -6 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64)))) x))) |
#s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f64 (neg.f64 x) (-.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
Compiled 13 571 to 1 915 computations (85.9% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 380 | 0 | 380 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 380 | 8 | 388 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 24.1% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
| ✓ | 28.2% | (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
| ▶ | 14.0% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x))) x) |
| ✓ | 99.8% | (copysign.f64 (asinh.f64 x) x) |
| ✓ | 53.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
| ✓ | 53.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
| ✓ | 53.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
| ✓ | 53.4% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
Compiled 151 to 102 computations (32.5% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) #s(hole binary64 (/ (+ 1/2 (* 2 (pow x 2))) x))) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) #s(hole binary64 (/ 1/2 (pow x 2)))) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) #s(hole binary64 (/ (+ 1/2 (* 2 (pow x 2))) (pow x 2)))) |
#s(approx (+ (* (* x x) 2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* x x) 2) 1/2) #s(hole binary64 (+ 1/2 (* 2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))))) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) #s(hole binary64 (* 2 x))) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) #s(hole binary64 2)) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) #s(hole binary64 (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (* x x) 2) 1/2) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ (* (* x x) 2) 1/2) #s(hole binary64 (* (pow x 2) (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) (/ (+ (* (* x x) 2) 1/2) (* x x)) (+ (* (* x x) 2) 1/2) (* x x) x 2 1/2) |
| 1.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) (/ (+ (* (* x x) 2) 1/2) (* x x)) (+ (* (* x x) 2) 1/2) (* x x) x 2 1/2) |
| 1.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) (/ (+ (* (* x x) 2) 1/2) (* x x)) (+ (* (* x x) 2) 1/2) (* x x) x 2 1/2) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 213 | 1071 |
| 0 | 222 | 919 |
| 1 | 1270 | 788 |
| 0 | 8320 | 754 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(*.f64 x x) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) #s(hole binary64 (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (log (+ 1 (fabs x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (fabs x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))))) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) #s(hole binary64 (/ 1/2 x))) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) #s(hole binary64 (/ (+ 1/2 (* 2 (pow x 2))) x))) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) #s(hole binary64 (/ 1/2 (pow x 2)))) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) #s(hole binary64 (/ (+ 1/2 (* 2 (pow x 2))) (pow x 2)))) |
#s(approx (+ (* (* x x) 2) 1/2) #s(hole binary64 1/2)) |
#s(approx (+ (* (* x x) 2) 1/2) #s(hole binary64 (+ 1/2 (* 2 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ 1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (/ (fabs x) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))))) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) #s(hole binary64 (* 2 x))) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) #s(hole binary64 (* x (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) #s(hole binary64 2)) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) #s(hole binary64 (+ 2 (* 1/2 (/ 1 (pow x 2)))))) |
#s(approx (+ (* (* x x) 2) 1/2) #s(hole binary64 (* 2 (pow x 2)))) |
#s(approx (+ (* (* x x) 2) 1/2) #s(hole binary64 (* (pow x 2) (+ 2 (* 1/2 (/ 1 (pow x 2))))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (* -1 (log (/ -1 x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(hole binary64 (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(hole binary64 (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))))) |
| Outputs |
|---|
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x) (/.f64 x x)))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x) (/.f64 x x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x) (/.f64 x x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (neg.f64 x)) (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x) (/.f64 x x)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x) x) x) |
(*.f64 x (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x) x)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x)) (neg.f64 (*.f64 x x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x))) (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)))) (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal -4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (neg.f64 (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (neg.f64 (*.f64 x x)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64))) |
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x) x) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64))) (neg.f64 (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 x)) (/.f64 #s(literal 2 binary64) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (/.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 x x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/2 binary64) (neg.f64 x)) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 (/.f64 x x) (/.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x))) |
(fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x))) |
(-.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) |
(-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x x))) |
(+.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) x) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) x) x)) |
(+.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64)) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 2 binary64) x))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) |
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (copysign.f64 (asinh.f64 x) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64) (log1p.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (*.f64 x x)) (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x x) (log1p.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 45 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (/.f64 #s(literal 30 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -1 binary64)))) #s(literal -1/24 binary64))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x x) (log1p.f64 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 x #s(literal -1 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) x) #s(literal -1 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal -1 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal 1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) x) #s(literal -1 binary64))) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) (/.f64 #s(literal 1/2 binary64) x)) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x)) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) x) x)) |
#s(approx (+ (* (* x x) 2) 1/2) #s(literal 1/2 binary64)) |
#s(approx (+ (* (* x x) 2) 1/2) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx x x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (/.f64 x x) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 x x)) (log.f64 x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) #s(literal 1/2 binary64) (/.f64 x x))) (log.f64 x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) x) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (/.f64 x x) #s(literal -1 binary64)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 x x)) #s(literal -1 binary64)) x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) (/.f64 x x)) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/8 binary64))) x)) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) (*.f64 #s(literal 2 binary64) x)) |
#s(approx (* (/ (+ (* (* x x) 2) 1/2) (* x x)) x) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) x)) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) #s(literal 2 binary64)) |
#s(approx (/ (+ (* (* x x) 2) 1/2) (* x x)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64))) |
#s(approx (+ (* (* x x) 2) 1/2) (*.f64 (*.f64 x x) #s(literal 2 binary64))) |
#s(approx (+ (* (* x x) 2) 1/2) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 2 binary64)) (*.f64 x x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64) (/.f64 (neg.f64 x) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal -1/2 binary64) x) x) #s(literal -1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal -3 binary64) x)) x) #s(literal -1/6 binary64))) x) #s(literal -1 binary64) x) x) #s(literal -1 binary64) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (neg.f64 x)) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 x x) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 x (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal -1 binary64) #s(literal 1 binary64)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/8 binary64))) x) #s(literal -1 binary64) x) x) #s(literal -1 binary64) #s(literal 1 binary64)))) |
Compiled 4 617 to 912 computations (80.2% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 152 | 0 | 152 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 7 | 7 |
| Total | 152 | 8 | 160 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 24.1% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
| ✓ | 28.2% | (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
| ✓ | 14.0% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x))) x) |
| ✓ | 99.8% | (copysign.f64 (asinh.f64 x) x) |
| ✓ | 53.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
| ✓ | 53.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
| ✓ | 53.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
| ✓ | 53.4% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
Compiled 353 to 172 computations (51.3% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
(copysign.f64 (asinh.f64 x) x) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) x) x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (neg.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 1/2 binary64)) (*.f64 x x)) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 x x)) x))) x) |
| Outputs |
|---|
(copysign.f64 (asinh.f64 x) x) |
2 calls:
| 3.0ms | x |
| 3.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 99.8% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Total -0.6b remaining (-2.2%)
Threshold costs -0.6b (-2.2%)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 3/40 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 1 binary64)) x)) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.4% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 53.4% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 18 |
| 1 | 20 | 18 |
| 2 | 41 | 18 |
| 3 | 82 | 18 |
| 4 | 132 | 18 |
| 5 | 336 | 18 |
| 6 | 2723 | 18 |
| 7 | 6711 | 18 |
| 1× | node limit |
| Inputs |
|---|
(copysign.f64 (asinh.f64 x) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
| Outputs |
|---|
(copysign.f64 (asinh.f64 x) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) x) |
| 1× | done |
Compiled 18 to 12 computations (33.3% saved)
Compiled 100 to 62 computations (38% saved)
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