
Time bar (total: 7.5s)
| 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)
| 286.0ms | 8 256× | 0 | valid |
ival-asinh: 80.0ms (90.3% of total)ival-true: 5.0ms (5.6% of total)ival-assert: 3.0ms (3.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 122 | 0 | - | 0 | - | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 71 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (fabs.f64 x) |
| 0 | 0 | - | 0 | - | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 122 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 71 | 0 |
| ↳ | (*.f64 x x) | overflow | 71 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 71 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 193 | 0 |
| - | 0 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 193 | 0 | 0 |
| - | 0 | 0 | 63 |
| number | freq |
|---|---|
| 0 | 63 |
| 1 | 193 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 78.0ms | 98× | 2 | valid |
| 29.0ms | 136× | 1 | valid |
| 25.0ms | 278× | 0 | valid |
Compiled 114 to 31 computations (72.8% saved)
ival-log: 58.0ms (51.6% of total)ival-hypot: 18.0ms (16% of total)ival-copysign: 16.0ms (14.2% of total)adjust: 6.0ms (5.3% of total)ival-add: 6.0ms (5.3% of total)ival-mult: 4.0ms (3.6% of total)ival-fabs: 3.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 10 | 7 |
| 2 | 14 | 7 |
| 3 | 17 | 7 |
| 4 | 21 | 7 |
| 5 | 28 | 7 |
| 6 | 35 | 7 |
| 0 | 9 | 12 |
| 0 | 16 | 12 |
| 1 | 20 | 12 |
| 0 | 20 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 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 |
|---|---|---|
| ▶ | 29.7% | (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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) | |
| cost-diff | 1 | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 0 | 16 | 49 |
| 1 | 20 | 49 |
| 0 | 20 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 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) |
| 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) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(fabs.f64 x) |
x |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 x x #s(literal 1 binary64)) |
(*.f64 x x) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 0.01171875 | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 16.48219828792988 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 27.80708658210364 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 39.0ms | 68× | 1 | valid |
| 22.0ms | 49× | 2 | valid |
| 13.0ms | 139× | 0 | valid |
Compiled 51 to 11 computations (78.4% saved)
ival-log: 17.0ms (44% of total)ival-hypot: 9.0ms (23.3% of total)adjust: 3.0ms (7.8% of total)ival-copysign: 3.0ms (7.8% of total)ival-add: 3.0ms (7.8% of total)ival-mult: 2.0ms (5.2% of total)ival-fabs: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(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)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fabs.f64 x) |
| Outputs |
|---|
1 |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (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))))))) |
(+ (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))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fabs x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -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)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -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))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -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 | ((+ (* 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)) (fabs x)) |
| 1.0ms | x | @ | -inf | ((+ (* 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)) (fabs x)) |
| 1.0ms | x | @ | inf | ((+ (* 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)) (fabs x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 586 |
| 1 | 490 | 558 |
| 2 | 1525 | 545 |
| 3 | 5471 | 495 |
| 0 | 8548 | 457 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (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))))))) |
(+ (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))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fabs x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -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)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -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))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(+ (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))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))) |
(+ (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))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fabs x) |
(fabs.f64 x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))) |
(+ (* -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)))) |
(fma.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(+.f64 (fabs.f64 x) x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x)) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -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))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f64 (fabs.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 0 | 16 | 44 |
| 1 | 51 | 44 |
| 2 | 324 | 44 |
| 3 | 3427 | 44 |
| 0 | 8363 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(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)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fabs.f64 x) |
| Outputs |
|---|
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))))) |
(*.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 x x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x)))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (fabs.f64 x)) |
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (fabs.f64 x)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fabs.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x (/.f64 x (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(pow.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 (-.f64 x #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fabs.f64 x))) |
Compiled 8 175 to 1 649 computations (79.8% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 302 | 14 | 316 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 303 | 14 | 317 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.1% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
| 6.2% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) | |
| 29.7% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| 9.6% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) | |
| 27.9% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) | |
| ▶ | 28.1% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
| 28.2% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) | |
| ▶ | 28.6% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
| 20.0% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) | |
| 48.7% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))) x) | |
| 49.7% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x))))) x) | |
| ▶ | 50.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
| 63.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) | |
| ▶ | 9.5% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
Compiled 704 to 442 computations (37.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) | |
| cost-diff | 0 | (fabs.f64 x) | |
| cost-diff | 0 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) | |
| cost-diff | 0 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) | |
| cost-diff | 0 | (+.f64 (fabs.f64 x) x) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) | |
| cost-diff | 0 | (log.f64 x) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) | |
| cost-diff | 0 | (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) | |
| cost-diff | 1 | (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 1 | (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 447 |
| 0 | 75 | 447 |
| 1 | 102 | 447 |
| 2 | 134 | 447 |
| 3 | 180 | 447 |
| 4 | 253 | 443 |
| 5 | 440 | 443 |
| 6 | 752 | 443 |
| 7 | 1415 | 443 |
| 8 | 2383 | 443 |
| 9 | 3284 | 443 |
| 10 | 3982 | 443 |
| 11 | 4036 | 443 |
| 12 | 4063 | 443 |
| 13 | 4081 | 443 |
| 14 | 4090 | 443 |
| 15 | 4218 | 443 |
| 16 | 4302 | 443 |
| 17 | 4310 | 443 |
| 18 | 4310 | 443 |
| 19 | 4310 | 443 |
| 20 | 4418 | 443 |
| 21 | 5124 | 443 |
| 22 | 5256 | 443 |
| 23 | 5260 | 443 |
| 24 | 5260 | 443 |
| 25 | 5260 | 443 |
| 0 | 5260 | 438 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
x |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(fabs.f64 x) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) |
(log.f64 x) |
x |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(fabs.f64 x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
#s(literal 1 binary64) |
(log1p.f64 (fabs.f64 x)) |
| Outputs |
|---|
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 #s(literal -2 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) #s(literal -1 binary64)))) (log1p.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (fabs.f64 x))))) x) |
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (log.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 #s(literal -2 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) #s(literal -1 binary64)))) (log1p.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (fabs.f64 x))))) |
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(log1p.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (fabs.f64 x)))) |
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 #s(literal -2 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (fabs.f64 x))) |
x |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) |
(fabs.f64 x) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(log.f64 (/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 #s(literal -2 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (-.f64 (neg.f64 (fabs.f64 x)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 #s(literal -2 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) #s(literal -1 binary64))) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(neg.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) #s(literal -1 binary64))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) |
(log.f64 x) |
x |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(fabs.f64 x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(-.f64 (fabs.f64 x) #s(literal -1 binary64)) |
(fabs.f64 x) |
#s(literal 1 binary64) |
(log1p.f64 (fabs.f64 x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) | |
| accuracy | 0.00390625 | (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) | |
| accuracy | 15.985508089613726 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) | |
| accuracy | 0.0 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 14.397518365500048 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) | |
| accuracy | 15.011509309190153 | #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) | |
| accuracy | 0.0 | (+.f64 (fabs.f64 x) x) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 14.397518365500048 | (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) | |
| accuracy | 15.098459353189298 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) | |
| accuracy | 0.0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 26.783103127277897 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) | |
| accuracy | 8.340934015828143 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) | |
| accuracy | 8.716745496226256 | (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) | |
| accuracy | 14.385580457285739 | (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) | |
| accuracy | 15.58199453797781 | (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| 86.0ms | 94× | 1 | valid |
| 43.0ms | 33× | 2 | valid |
| 41.0ms | 126× | 0 | invalid |
| 1.0ms | 3× | 0 | valid |
Compiled 430 to 33 computations (92.3% saved)
ival-log1p: 43.0ms (32.8% of total)ival-log: 28.0ms (21.3% of total)ival-add: 14.0ms (10.7% of total)adjust: 12.0ms (9.1% of total)ival-hypot: 9.0ms (6.9% of total)ival-mult: 8.0ms (6.1% of total)ival-div: 7.0ms (5.3% of total)ival-copysign: 6.0ms (4.6% of total)ival-sub: 4.0ms (3% of total)ival-fabs: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) |
(log.f64 x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(fabs.f64 x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(*.f64 #s(literal 1/2 binary64) x) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(* (fabs x) (- (fabs x) 1)) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))) |
(+ 1 (* (fabs x) (- (fabs x) 1))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (+ (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* (pow x 2) (+ (* 1/720 (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3)))))) (* 1/720 (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (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))))))) |
(+ (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))))))) |
(log x) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fabs x) |
(+ x (fabs x)) |
(* 1/2 x) |
(- (fabs x) 1) |
(- (+ (fabs x) (* -1/2 (pow x 2))) 1) |
(- (+ (fabs x) (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))) 1) |
(- (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2))) 1) |
(log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (pow x 2) (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (+ 1 (fabs x)))) |
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2)))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))) |
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))) |
(log (+ 1 (* (fabs x) (- (fabs x) 1)))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))))) |
(/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))) |
(+ (* (pow x 2) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))) |
(+ (* (pow x 2) (- (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))) |
(+ (* (pow x 2) (- (+ (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (- (* (pow x 2) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(/ x (+ 1 (fabs x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2)))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))) |
(+ (log (/ 1 x)) (* -2 (log (/ 1 x)))) |
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (/ (fabs x) x))) |
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))) (/ (fabs x) x))))) |
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))) (/ (fabs x) x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -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)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2))))) |
(* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2))))) |
(log (/ 1 x)) |
(- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x))) |
(- (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) |
(- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x))) |
(* -2 (log (/ 1 x))) |
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))) |
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))) |
(/ 1 x) |
(/ (- (+ 1 (/ (fabs x) x)) (* -1 (/ (fabs x) x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))))) (pow x 3))) (/ (fabs x) x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* (pow x 2) (+ 1 (/ (fabs x) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x)))) |
(+ (log (/ -1 x)) (* -2 (log (/ -1 x)))) |
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (fabs x) x)))) |
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2)))) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))) |
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(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -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))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1))) |
(log (/ -1 x)) |
(+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) |
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x))) |
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x))) |
(* -2 (log (/ -1 x))) |
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x)) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x))) |
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(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) x)) (+ (* 1/2 (/ 1 x)) (/ (pow (fabs x) 2) x)))) (* -1 (fabs x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x) (/ (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))) x))) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x))) (* -1 (fabs x))) x))) x)) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -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 | |
|---|---|---|---|---|
| 67.0ms | x | @ | 0 | ((+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) x) (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log 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) 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (- (fabs x) (sqrt (+ (* x x) 1))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ x (+ (fabs x) 1))) |
| 29.0ms | x | @ | -inf | ((+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) x) (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log 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) 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (- (fabs x) (sqrt (+ (* x x) 1))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ x (+ (fabs x) 1))) |
| 16.0ms | x | @ | inf | ((+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) (copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) x) (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log 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) 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (- (fabs x) (sqrt (+ (* x x) 1))) (log (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (/ (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (/ x (+ (fabs x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 648 | 5712 |
| 1 | 2074 | 5307 |
| 2 | 7773 | 5299 |
| 0 | 8001 | 4801 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (fabs x) (- (fabs x) 1)) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))) |
(+ 1 (* (fabs x) (- (fabs x) 1))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))) |
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(/ (- (+ 1 (/ (fabs x) x)) (* -1 (/ (fabs x) x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))))) (pow x 3))) (/ (fabs x) x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* (pow x 2) (+ 1 (/ (fabs x) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x)))) |
(+ (log (/ -1 x)) (* -2 (log (/ -1 x)))) |
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (fabs x) x)))) |
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2)))) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))) |
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x)))))))) (* 1/6 (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))))) x)) (+ (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2)))) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))))) x))) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -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))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1))) |
(log (/ -1 x)) |
(+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) |
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x))) |
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x))) |
(* -2 (log (/ -1 x))) |
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x)) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x))) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) x)) (+ (* 1/2 (/ 1 x)) (/ (pow (fabs x) 2) x)))) (* -1 (fabs x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x) (/ (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))) x))) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x))) (* -1 (fabs x))) x))) x)) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
(* (fabs x) (- (fabs x) 1)) |
(fma.f64 x x (neg.f64 (fabs.f64 x))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) x) x (fma.f64 x x (neg.f64 (fabs.f64 x)))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))) |
(fma.f64 (*.f64 (fma.f64 (fabs.f64 x) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x) x (fma.f64 x x (neg.f64 (fabs.f64 x)))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))) |
(fma.f64 (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x) (fma.f64 x x (neg.f64 (fabs.f64 x)))) |
(+ 1 (* (fabs x) (- (fabs x) 1))) |
(fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) x) x (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))) |
(fma.f64 (fma.f64 (fabs.f64 x) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 x x) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))) |
(fma.f64 (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign.f64 (+.f64 (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))) (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)))) x) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 (/.f64 (fabs.f64 x) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))))) (*.f64 x x) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 (/.f64 (fma.f64 x x (fabs.f64 x)) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal -1 binary64) (fma.f64 (*.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (fabs.f64 x) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/8 binary64))))) (*.f64 x x) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 (/.f64 (fabs.f64 x) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))))) (*.f64 x x) (+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fma.f64 x x (neg.f64 (fabs.f64 x)))))) |
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(+ (* -2 (log (/ -1 x))) (/ (fabs x) x)) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 (fabs.f64 x) x)) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) #s(literal -1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 x))) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x) (fma.f64 #s(literal -3 binary64) (fabs.f64 x) (*.f64 #s(literal -2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))) x) #s(literal -1/6 binary64) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (neg.f64 x)) (fabs.f64 x)) (neg.f64 x))) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) x)) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (+ (* -1 (/ (* (fabs x) (- (fabs x) (* -1 (fabs x)))) x)) (+ (* 1/2 (/ 1 x)) (/ (pow (fabs x) 2) x)))) (* -1 (fabs x))) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 x x) x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) x)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))) x)) (neg.f64 x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (fabs x) (* -1 (/ (- (+ (* -1/2 (/ (fabs x) x)) (+ (/ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x) (/ (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x)))) x))) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) x))) (* -1 (fabs x))) x))) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fabs.f64 x) x) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) x) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (/.f64 (fabs.f64 x) x)))) (fma.f64 x x (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))) (neg.f64 x)) (*.f64 #s(literal 2 binary64) (fabs.f64 x))) x)) (neg.f64 x)) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 389 |
| 0 | 75 | 389 |
| 1 | 269 | 325 |
| 2 | 2250 | 325 |
| 0 | 8238 | 325 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) |
(log.f64 x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(fabs.f64 x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(*.f64 #s(literal 1/2 binary64) x) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))) |
(pow.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)))) (*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x))) (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64)))) (pow.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x))) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 x x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (-.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (neg.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) (/.f64 (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) |
(-.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (-.f64 (log1p.f64 (fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) #s(literal -1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x))) |
(/.f64 (neg.f64 x) (neg.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(neg.f64 (/.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(neg.f64 (/.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 x (neg.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) #s(literal -1 binary64))) |
Compiled 50 769 to 4 521 computations (91.1% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 822 | 4 | 826 |
| Fresh | 3 | 6 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 826 | 14 | 840 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 6.2% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) |
| 29.7% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| 9.6% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))) x) | |
| ▶ | 27.9% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
| ✓ | 28.1% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
| ▶ | 20.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
| 28.2% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) | |
| ✓ | 28.6% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
| 49.7% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) | |
| 48.7% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))) x) | |
| ✓ | 50.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
| ▶ | 63.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | 9.5% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
| ▶ | 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
Compiled 616 to 404 computations (34.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) | |
| cost-diff | 0 | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) | |
| cost-diff | 2 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) | |
| cost-diff | 7 | (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (fabs.f64 x) | |
| cost-diff | 0 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) | |
| cost-diff | 0 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) | |
| cost-diff | 0 | (fabs.f64 x) | |
| cost-diff | 0 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) | |
| cost-diff | 0 | (fabs.f64 x) | |
| cost-diff | 0 | (log1p.f64 (fabs.f64 x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 389 |
| 0 | 78 | 373 |
| 1 | 114 | 373 |
| 2 | 150 | 352 |
| 3 | 211 | 346 |
| 4 | 268 | 346 |
| 5 | 453 | 346 |
| 6 | 878 | 346 |
| 7 | 2290 | 346 |
| 8 | 5407 | 346 |
| 0 | 8261 | 343 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs.f64 x) |
x |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
#s(literal 1 binary64) |
(fabs.f64 x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) |
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fabs.f64 x) |
(fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs.f64 x) |
x |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(-.f64 (fabs.f64 x) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(fabs.f64 x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (fabs.f64 x))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (fabs.f64 x))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) (fabs.f64 x)) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fabs.f64 x) |
(fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(fma.f64 (neg.f64 x) x #s(literal 1 binary64)) |
(neg.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 16.48219828792988 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 27.767211736008253 | (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) | |
| accuracy | 30.898912777319037 | (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) | |
| accuracy | 32.11655166877426 | (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 0.01171875 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) | |
| accuracy | 27.80708658210364 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) | |
| accuracy | 46.41743601321925 | #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 0.01171875 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) | |
| accuracy | 27.80708658210364 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) | |
| accuracy | 32.08029982207821 | #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) | |
| accuracy | 0.09375 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) | |
| accuracy | 29.25762521208513 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) | |
| accuracy | 31.870978259181186 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) | |
| accuracy | 0.0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) | |
| accuracy | 0.0 | (log1p.f64 (fabs.f64 x)) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 23.68700133764823 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) |
| 171.0ms | 198× | 1 | valid |
| 66.0ms | 49× | 2 | valid |
| 2.0ms | 9× | 0 | valid |
Compiled 322 to 34 computations (89.4% saved)
ival-log: 51.0ms (24.6% of total)ival-mult: 38.0ms (18.3% of total)ival-log1p: 31.0ms (14.9% of total)adjust: 29.0ms (14% of total)ival-add: 15.0ms (7.2% of total)ival-div: 13.0ms (6.3% of total)ival-hypot: 13.0ms (6.3% of total)ival-copysign: 8.0ms (3.9% of total)ival-sub: 4.0ms (1.9% of total)ival-neg: 3.0ms (1.4% of total)ival-fabs: 2.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs.f64 x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) |
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (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))))))) |
(+ (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))))))) |
(fabs x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
1 |
(- 1 (fabs x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
(copysign (neg (log (/ (- (sqrt (+ 1 (pow x 2))) (fabs x)) (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))))) x) |
(* -1 (log (- 1 (fabs x)))) |
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (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)))))) (log (- 1 (fabs x)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) (+ (* 30 (/ 1 (pow (- 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 45 (/ 1 (- 1 (fabs x)))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(/ 1/2 (+ 1 (fabs x))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(log (- 1 (fabs x))) |
(+ (log (- 1 (fabs x))) (* 1/2 (/ (pow x 2) (- 1 (fabs x))))) |
(+ (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))))))) |
(+ (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))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -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)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(log (/ 1 x)) |
(- (/ (fabs x) x) (* -1 (log (/ 1 x)))) |
(- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x)))) |
(- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -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))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(log (/ -1 x)) |
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (neg x) x) 1)) (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)) (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1)))) (sqrt (+ (* x x) 1))) |
| 20.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (neg x) x) 1)) (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)) (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1)))) (sqrt (+ (* x x) 1))) |
| 15.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) (+ (* (neg x) x) 1)) (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)) (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1)))) (sqrt (+ (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 297 | 1365 |
| 1 | 921 | 1273 |
| 2 | 2986 | 1240 |
| 0 | 8309 | 1150 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (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))))))) |
(+ (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))))))) |
(fabs x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
1 |
(- 1 (fabs x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
(copysign (neg (log (/ (- (sqrt (+ 1 (pow x 2))) (fabs x)) (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))))) x) |
(* -1 (log (- 1 (fabs x)))) |
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (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)))))) (log (- 1 (fabs x)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) (+ (* 30 (/ 1 (pow (- 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 45 (/ 1 (- 1 (fabs x)))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(/ 1/2 (+ 1 (fabs x))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(log (- 1 (fabs x))) |
(+ (log (- 1 (fabs x))) (* 1/2 (/ (pow x 2) (- 1 (fabs x))))) |
(+ (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))))))) |
(+ (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))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -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)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(log (/ 1 x)) |
(- (/ (fabs x) x) (* -1 (log (/ 1 x)))) |
(- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x)))) |
(- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -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))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(log (/ -1 x)) |
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x))) |
(+ (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))))))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(+ (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))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(fabs x) |
(fabs.f64 x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
1 |
#s(literal 1 binary64) |
(- 1 (fabs x)) |
(-.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(copysign (neg (log (/ (- (sqrt (+ 1 (pow x 2))) (fabs x)) (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))))) x) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(* -1 (log (- 1 (fabs x)))) |
(neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x)))) |
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (log (- 1 (fabs x)))) |
(fma.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 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)))))) (log (- 1 (fabs x)))) |
(-.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) (+ (* 30 (/ 1 (pow (- 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 45 (/ 1 (- 1 (fabs x)))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x)))) |
(-.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/720 binary64) (+.f64 (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 x x) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 x x) (/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(log (- 1 (fabs x))) |
(log1p.f64 (neg.f64 (fabs.f64 x))) |
(+ (log (- 1 (fabs x))) (* 1/2 (/ (pow x 2) (- 1 (fabs x))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (neg.f64 (fabs.f64 x)))) |
(+ (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))))))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (neg.f64 (fabs.f64 x)))) |
(+ (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))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 45 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (neg.f64 (fabs.f64 x)))) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1/2 binary64) (fabs.f64 x)) x) (log.f64 x)) |
(+ (* -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)))) |
(fma.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1/2 binary64) (fabs.f64 x)) x) (log.f64 x))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(*.f64 (+.f64 (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f64 (/.f64 (fabs.f64 x) x) x x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fabs.f64 x) x)) x x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x) |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) x) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)) x) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(log (/ 1 x)) |
(neg.f64 (log.f64 x)) |
(- (/ (fabs x) x) (* -1 (log (/ 1 x)))) |
(-.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)) |
(- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x)))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))) |
(- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(fma.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1/6 binary64) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x) |
(+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (fma.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (-.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -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))) |
(-.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) x) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f64 (/.f64 (-.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(neg.f64 (fma.f64 (/.f64 (fabs.f64 x) x) x x)) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fabs.f64 x) x)) x x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) x) (fabs.f64 x)) x) x (neg.f64 x)) |
(log (/ -1 x)) |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fabs.f64 x) x)) |
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1/2 binary64) (fabs.f64 x)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 3 binary64))) x) #s(literal 1/6 binary64))) x)) x)) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64)) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)) |
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x)) |
(-.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) #s(literal 1/2 binary64) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 3 binary64))) x) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 348 |
| 0 | 78 | 348 |
| 1 | 264 | 313 |
| 2 | 1970 | 312 |
| 0 | 9139 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs.f64 x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) |
(neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) |
(log1p.f64 (fabs.f64 x)) |
(neg.f64 (log.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/2 binary64)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 x x)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 (neg.f64 (fabs.f64 x)))) |
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (*.f64 x x)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64)))) |
(log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(/.f64 (fabs.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (*.f64 x x) (fabs.f64 (+.f64 #s(literal 0 binary64) x))) |
(fabs.f64 (neg.f64 (-.f64 x #s(literal 0 binary64)))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(fabs.f64 (-.f64 x #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x))))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) #s(literal 2 binary64))) (+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x))))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x))))))))) |
(-.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)))) (log.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal 1 binary64))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fabs.f64 x) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fabs.f64 x) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fabs.f64 x) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)))))))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (log.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (*.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fabs.f64 x)))) (log.f64 (pow.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (*.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))) (log.f64 (*.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(-.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x))))) |
(+.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))))) (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (neg.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x))))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(+.f64 (log.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) (log.f64 (pow.f64 (neg.f64 (fma.f64 x (+.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (neg.f64 (log1p.f64 (*.f64 x (+.f64 x (neg.f64 x)))))) |
(log.f64 (pow.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.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 x x))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 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)) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/2 binary64))) |
Compiled 25 023 to 3 614 computations (85.6% saved)
24 alts after pruning (16 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 671 | 12 | 683 |
| Fresh | 1 | 4 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 673 | 24 | 697 |
| Status | Accuracy | Program |
|---|---|---|
| 4.3% | (copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) | |
| 9.6% | (copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) | |
| 29.7% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| 9.6% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) x) | |
| ✓ | 27.9% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
| ✓ | 28.1% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
| ✓ | 20.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
| ▶ | 28.2% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
| ✓ | 28.6% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
| ▶ | 49.7% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
| 48.7% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))) x) | |
| ✓ | 50.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
| ✓ | 63.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | 9.5% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) | |
| 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) | |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) | |
| 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) | |
| ▶ | 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) | |
| ✓ | 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
| ▶ | 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) | |
| ▶ | 7.1% | #s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) |
Compiled 1 384 to 892 computations (35.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) | |
| cost-diff | 0 | (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) | |
| cost-diff | 0 | (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) | |
| cost-diff | 0 | #s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) | |
| cost-diff | 0 | (-.f64 (fabs.f64 x) x) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) | |
| cost-diff | 1 | (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) | |
| cost-diff | 2 | (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) | |
| cost-diff | 5 | (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 651 |
| 0 | 105 | 651 |
| 1 | 165 | 649 |
| 2 | 275 | 642 |
| 3 | 536 | 640 |
| 4 | 1260 | 630 |
| 5 | 3294 | 630 |
| 6 | 5401 | 621 |
| 0 | 8177 | 603 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) |
#s(literal -1/8 binary64) |
(pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
#s(literal 1 binary64) |
(fabs.f64 x) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(log1p.f64 (fabs.f64 x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
#s(literal 1/2 binary64) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(fabs.f64 x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) |
(-.f64 (fabs.f64 x) x) |
(fabs.f64 x) |
x |
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fabs.f64 x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (+.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 1/2 binary64))) x (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (+.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 1/2 binary64))) x (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (fma.f64 (*.f64 #s(literal -1/8 binary64) x) (+.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 1/2 binary64))) x (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(fma.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/8 binary64)) (+.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/8 binary64)) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
#s(literal -1/8 binary64) |
(pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fabs.f64 x) |
x |
#s(literal 2 binary64) |
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
(log1p.f64 (fabs.f64 x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 1/2 binary64)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
#s(literal 1/2 binary64) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64)) x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64)) x)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64)) x))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(fabs.f64 x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) |
(-.f64 (fabs.f64 x) x) |
(fabs.f64 x) |
x |
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fabs.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | #s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) | |
| accuracy | 8.172167582556803 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 13.518830735011022 | (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) | |
| accuracy | 15.393203654857912 | (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) | |
| accuracy | 0.0 | (-.f64 (fabs.f64 x) x) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 13.54678055478314 | (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) | |
| accuracy | 15.025375968628206 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) | |
| accuracy | 0.19104715140192446 | (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 7.989736648961133 | (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) | |
| accuracy | 16.16465342406963 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) | |
| accuracy | 31.063117004173005 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) | |
| accuracy | 8.208690081016766 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 15.071223498923278 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) | |
| accuracy | 16.16465342406963 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) | |
| accuracy | 0.0234375 | (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) | |
| accuracy | 0.05859375 | (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) | |
| accuracy | 0.19496226943414985 | (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) | |
| accuracy | 16.859074595425504 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
| 79.0ms | 104× | 1 | valid |
| 76.0ms | 127× | 1 | exit |
| 38.0ms | 16× | 2 | valid |
| 18.0ms | 9× | 0 | valid |
Compiled 450 to 51 computations (88.7% saved)
ival-log: 30.0ms (19.6% of total)ival-div: 29.0ms (19% of total)adjust: 23.0ms (15% of total)ival-add: 20.0ms (13.1% of total)ival-mult: 18.0ms (11.8% of total)ival-copysign: 9.0ms (5.9% of total)ival-hypot: 8.0ms (5.2% of total)ival-sub: 4.0ms (2.6% of total)ival-neg: 4.0ms (2.6% of total)ival-log1p: 3.0ms (2% of total)ival-pow2: 3.0ms (2% of total)ival-fabs: 2.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) |
(-.f64 (fabs.f64 x) x) |
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fabs.f64 x) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| Outputs |
|---|
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(+ (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))))))) |
(+ (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))))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (- 1 (fabs x))) |
(+ (* 1/2 (* (pow x 2) (- (fabs x) 1))) (* 1/2 (- 1 (fabs x)))) |
(+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- (fabs x) 1))))) |
(+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (fabs x) 1))) (* 1/2 (- 1 (fabs x)))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fabs x) |
(+ (fabs x) (* -1 x)) |
(copysign (neg (log (/ (- (sqrt (+ 1 (pow x 2))) (fabs x)) (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(* -1 (log (- 1 (fabs x)))) |
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (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)))))) (log (- 1 (fabs x)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) (+ (* 30 (/ 1 (pow (- 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 45 (/ 1 (- 1 (fabs x)))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x)))) |
(log (- 1 (fabs x))) |
(+ (log (- 1 (fabs x))) (* 1/2 (/ (pow x 2) (- 1 (fabs x))))) |
(+ (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))))))) |
(+ (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))))))) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ 1/2 (+ 1 (fabs x))) |
1/2 |
(+ 1/2 (* -1/2 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2))) |
(- 1 (fabs x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -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)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ (- 1 (fabs x)) (pow x 2))) |
(/ (+ (* 1/2 (- 1 (fabs x))) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) (pow x 2)) |
(/ (+ (* 1/2 (- 1 (fabs x))) (+ (* 1/2 (/ (- 1 (fabs x)) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 2))))) (pow x 2)) |
(/ (+ (* 1/2 (- 1 (fabs x))) (+ (* 1/2 (/ (- 1 (fabs x)) (pow x 4))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) (pow x 2)) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(log (/ 1 x)) |
(- (/ (fabs x) x) (* -1 (log (/ 1 x)))) |
(- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x)))) |
(- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(/ 1/2 (pow x 2)) |
(/ (- 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (pow x 2)) |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -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))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(log (/ -1 x)) |
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -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 | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | ((+ (* (+ (* (* (+ (/ -1/8 (pow (+ 1 (fabs x)) 2)) (/ -1/8 (+ 1 (fabs x)))) x) x) (/ 1/2 (+ 1 (fabs x)))) (* x x)) (log (+ 1 (fabs x)))) (* (+ (/ -1/8 (pow (+ 1 (fabs x)) 2)) (/ -1/8 (+ 1 (fabs x)))) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) (* x x)) (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs 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) x) (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) (log (- (sqrt (+ (* x x) 1)) (fabs x))) (/ -1/8 (pow (+ 1 (fabs x)) 2)) (/ 1/2 (+ (fabs x) 1)) (/ 1/2 (+ (* x x) 1)) (fabs x) (- (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1))) |
| 7.0ms | x | @ | 0 | ((+ (* (+ (* (* (+ (/ -1/8 (pow (+ 1 (fabs x)) 2)) (/ -1/8 (+ 1 (fabs x)))) x) x) (/ 1/2 (+ 1 (fabs x)))) (* x x)) (log (+ 1 (fabs x)))) (* (+ (/ -1/8 (pow (+ 1 (fabs x)) 2)) (/ -1/8 (+ 1 (fabs x)))) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) (* x x)) (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs 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) x) (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) (log (- (sqrt (+ (* x x) 1)) (fabs x))) (/ -1/8 (pow (+ 1 (fabs x)) 2)) (/ 1/2 (+ (fabs x) 1)) (/ 1/2 (+ (* x x) 1)) (fabs x) (- (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1))) |
| 6.0ms | x | @ | -inf | ((+ (* (+ (* (* (+ (/ -1/8 (pow (+ 1 (fabs x)) 2)) (/ -1/8 (+ 1 (fabs x)))) x) x) (/ 1/2 (+ 1 (fabs x)))) (* x x)) (log (+ 1 (fabs x)))) (* (+ (/ -1/8 (pow (+ 1 (fabs x)) 2)) (/ -1/8 (+ 1 (fabs x)))) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) (* x x)) (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs 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) x) (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) (log (- (sqrt (+ (* x x) 1)) (fabs x))) (/ -1/8 (pow (+ 1 (fabs x)) 2)) (/ 1/2 (+ (fabs x) 1)) (/ 1/2 (+ (* x x) 1)) (fabs x) (- (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 373 | 1802 |
| 1 | 1186 | 1702 |
| 2 | 3956 | 1653 |
| 0 | 8179 | 1537 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(+ (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))))))) |
(+ (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))))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (- 1 (fabs x))) |
(+ (* 1/2 (* (pow x 2) (- (fabs x) 1))) (* 1/2 (- 1 (fabs x)))) |
(+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- (fabs x) 1))))) |
(+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (fabs x) 1))) (* 1/2 (- 1 (fabs x)))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fabs x) |
(+ (fabs x) (* -1 x)) |
(copysign (neg (log (/ (- (sqrt (+ 1 (pow x 2))) (fabs x)) (+ 1 (+ (* -1 (pow x 2)) (pow x 2)))))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(* -1 (log (- 1 (fabs x)))) |
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (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)))))) (log (- 1 (fabs x)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) (+ (* 30 (/ 1 (pow (- 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 45 (/ 1 (- 1 (fabs x)))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x)))) |
(log (- 1 (fabs x))) |
(+ (log (- 1 (fabs x))) (* 1/2 (/ (pow x 2) (- 1 (fabs x))))) |
(+ (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))))))) |
(+ (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))))))) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ 1/2 (+ 1 (fabs x))) |
1/2 |
(+ 1/2 (* -1/2 (pow x 2))) |
(+ 1/2 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/2))) |
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (* -1/2 (pow x 2)))) 1/2))) |
(- 1 (fabs x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(* -1 (* (pow x 4) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 4) (+ (* -1 (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -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)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ (- 1 (fabs x)) (pow x 2))) |
(/ (+ (* 1/2 (- 1 (fabs x))) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) (pow x 2)) |
(/ (+ (* 1/2 (- 1 (fabs x))) (+ (* 1/2 (/ (- 1 (fabs x)) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 2))))) (pow x 2)) |
(/ (+ (* 1/2 (- 1 (fabs x))) (+ (* 1/2 (/ (- 1 (fabs x)) (pow x 4))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) (pow x 2)) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(log (/ 1 x)) |
(- (/ (fabs x) x) (* -1 (log (/ 1 x)))) |
(- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x)))) |
(- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(/ 1/2 (pow x 2)) |
(/ (- 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))) (pow x 2)) |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -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))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(log (/ -1 x)) |
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x)))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(*.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(+ (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))))))) |
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(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1/2 binary64) (fabs.f64 x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -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))) |
(-.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) x) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x)) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(fma.f64 (/.f64 (fabs.f64 x) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f64 (/.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) x (neg.f64 x)) |
(log (/ -1 x)) |
(log.f64 (/.f64 #s(literal -1 binary64) x)) |
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fabs.f64 x) x)) |
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) #s(literal 1/2 binary64) (fabs.f64 x)) x)) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (fabs.f64 x) (/.f64 (fma.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 3 binary64))) x) #s(literal 1/6 binary64))) x)) x)) |
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x)) |
(-.f64 (/.f64 (fabs.f64 x) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1/2 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 3 binary64))) x) #s(literal -1/6 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(neg.f64 (fma.f64 (/.f64 (fabs.f64 x) x) x x)) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (fabs.f64 x) x)) x x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 x)) x) x (neg.f64 x)) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64)) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 514 |
| 0 | 105 | 514 |
| 1 | 359 | 502 |
| 2 | 2953 | 498 |
| 0 | 8978 | 492 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) |
(-.f64 (fabs.f64 x) x) |
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(fabs.f64 x) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))) (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))))) |
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(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
Compiled 20 936 to 2 693 computations (87.1% saved)
29 alts after pruning (17 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 433 | 8 | 441 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 8 | 8 |
| Total | 436 | 29 | 465 |
| Status | Accuracy | Program |
|---|---|---|
| 4.3% | (copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) | |
| 9.6% | (copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) | |
| 29.7% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| 9.6% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) x) | |
| ✓ | 27.9% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
| ✓ | 28.1% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
| ✓ | 20.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
| ✓ | 28.2% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
| ✓ | 28.6% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
| 49.7% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) | |
| 48.7% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))) x) | |
| ✓ | 50.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
| ✓ | 63.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | 9.5% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) | |
| 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) | |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) | |
| ✓ | 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) x))) x) | |
| 5.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) | |
| 5.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x) x))) x) | |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) | |
| ✓ | 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
| ✓ | 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
| 4.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) | |
| 4.7% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) | |
| 5.4% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) | |
| 4.9% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))) x) x))) x) | |
| ✓ | 7.1% | #s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) |
Compiled 2 412 to 949 computations (60.7% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) x) |
(copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
2 calls:
| 15.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | x |
| 99.6% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) x) |
(copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
2 calls:
| 9.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
| 99.3% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) x) |
(copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
#s(approx (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))))) x) (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x)) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
2 calls:
| 9.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
| 98.5% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) x) |
(copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
2 calls:
| 23.0ms | x |
| 6.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 3 | x |
| 98.3% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))) x) |
(copysign.f64 (neg.f64 (log.f64 #s(approx (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (+ (* (neg x) x) 1))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
2 calls:
| 51.0ms | x |
| 6.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | x |
| 98.1% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
2 calls:
| 8.0ms | x |
| 5.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 2 | x |
| 80.7% | 2 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
2 calls:
| 8.0ms | x |
| 5.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 1 | x |
| 63.0% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
2 calls:
| 5.0ms | x |
| 4.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 13.2% | 2 | x |
| 13.2% | 2 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) 1)) (- 1 (fabs x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (/.f64 #s(literal 1/2 binary64) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) (/.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
2 calls:
| 7.0ms | x |
| 4.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.2% | 1 | x |
| 6.2% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
2 calls:
| 1.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.4% | 1 | x |
| 5.4% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0003941698679016558 | 8.04556669157441 |
| 0.0ms | -1.8282981843461175 | -0.0009136240897816139 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0003941698679016558 | 8.04556669157441 |
| 0.0ms | -1.8282981843461175 | -0.0009136240897816139 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0003941698679016558 | 8.04556669157441 |
| 0.0ms | -1.8282981843461175 | -0.0009136240897816139 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0003941698679016558 | 8.04556669157441 |
| 0.0ms | -1.8282981843461175 | -0.0009136240897816139 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0003941698679016558 | 8.04556669157441 |
| 0.0ms | -1.8282981843461175 | -0.0009136240897816139 |
Compiled 15 to 13 computations (13.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0003941698679016558 | 8.04556669157441 |
Compiled 15 to 13 computations (13.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0003941698679016558 | 8.04556669157441 |
Compiled 15 to 13 computations (13.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 671 |
| 1 | 115 | 671 |
| 2 | 139 | 671 |
| 3 | 164 | 671 |
| 4 | 250 | 671 |
| 5 | 608 | 671 |
| 6 | 1414 | 671 |
| 7 | 3709 | 671 |
| 8 | 7003 | 671 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
| Outputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 1152921504606847/2305843009213693952 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) 1)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 648 | 5712 |
| 1 | 2074 | 5307 |
| 2 | 7773 | 5299 |
| 0 | 8001 | 4801 |
| 0 | 373 | 1802 |
| 1 | 1186 | 1702 |
| 2 | 3956 | 1653 |
| 0 | 8179 | 1537 |
| 0 | 66 | 514 |
| 0 | 105 | 514 |
| 1 | 359 | 502 |
| 2 | 2953 | 498 |
| 0 | 8978 | 492 |
| 0 | 48 | 348 |
| 0 | 78 | 348 |
| 1 | 264 | 313 |
| 2 | 1970 | 312 |
| 0 | 9139 | 309 |
| 0 | 169 | 586 |
| 1 | 490 | 558 |
| 2 | 1525 | 545 |
| 3 | 5471 | 495 |
| 0 | 8548 | 457 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 921 to 274 computations (70.2% saved)
Compiled 1 406 to 232 computations (83.5% saved)
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