
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)
| 300.0ms | 8 256× | 0 | valid |
ival-asinh: 102.0ms (92.2% of total)ival-true: 6.0ms (5.4% of total)ival-assert: 3.0ms (2.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 126 | 0 | - | 0 | - | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 68 | 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 | 125 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 68 | 0 |
| ↳ | (*.f64 x x) | overflow | 68 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 68 | |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | overflow | 1 | |
| ↳ | (*.f64 x x) | overflow | 68 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 68 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 193 | 0 |
| - | 0 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 193 | 0 | 0 |
| - | 0 | 0 | 63 |
| number | freq |
|---|---|
| 0 | 63 |
| 1 | 192 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 80× | 2 | valid |
| 40.0ms | 164× | 1 | valid |
| 25.0ms | 268× | 0 | valid |
Compiled 163 to 40 computations (75.5% saved)
ival-log: 37.0ms (43.5% of total)ival-hypot: 21.0ms (24.7% of total)ival-copysign: 7.0ms (8.2% of total)adjust: 6.0ms (7.1% of total)ival-add: 6.0ms (7.1% of total)ival-mult: 4.0ms (4.7% of total)ival-fabs: 3.0ms (3.5% 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 |
|---|---|---|
| ▶ | 29.0% | (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 | 128 | (+.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 | (*.f64 x x) | |
| accuracy | 0 | (fabs.f64 x) | |
| accuracy | 15.784507225356634 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 29.20915059720343 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 23.0ms | 82× | 1 | valid |
| 22.0ms | 40× | 2 | valid |
| 12.0ms | 134× | 0 | valid |
Compiled 100 to 20 computations (80% saved)
ival-hypot: 16.0ms (34.9% of total)ival-log: 16.0ms (34.9% of total)ival-copysign: 4.0ms (8.7% of total)adjust: 3.0ms (6.5% of total)ival-add: 3.0ms (6.5% of total)ival-mult: 2.0ms (4.4% of total)ival-fabs: 2.0ms (4.4% 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) |
(*.f64 x x) |
| Outputs |
|---|
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))))) |
(+ 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 (* 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) |
(fabs x) |
(fabs x) |
(fabs x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))) |
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)))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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 (* 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))))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
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) (* x x)) |
| 2.0ms | 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) (* x x)) |
| 2.0ms | 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) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 818 |
| 1 | 490 | 790 |
| 2 | 1513 | 777 |
| 3 | 5414 | 727 |
| 0 | 8408 | 671 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))))) |
(+ 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 (* 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) |
(fabs x) |
(fabs x) |
(fabs x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))) |
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)))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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 (* 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))))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #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) |
(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) |
(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) |
(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 |
#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) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 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) |
(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) |
(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) |
(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) |
(* -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 |
(* 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))) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 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) |
(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) |
(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) |
(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) |
(* -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) (/.f64 #s(literal 1/2 binary64) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.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) |
(* -1 x) |
(neg.f64 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)))) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 47 |
| 0 | 16 | 47 |
| 1 | 51 | 47 |
| 2 | 324 | 47 |
| 3 | 3419 | 47 |
| 0 | 8352 | 42 |
| 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) |
(*.f64 x 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)))) |
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(/.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)))))) |
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(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)) |
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(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))))))) |
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(-.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)))) |
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(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))) |
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(/.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))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 x)))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (fabs.f64 x))) |
(pow.f64 (fabs.f64 (fabs.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 9 338 to 1 809 computations (80.6% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 374 | 12 | 386 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 375 | 12 | 387 |
| Status | Accuracy | Program |
|---|---|---|
| 4.7% | (copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) | |
| ▶ | 29.0% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| ▶ | 9.1% | (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) |
| 31.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) | |
| 19.2% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) | |
| ▶ | 32.0% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
| 23.6% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) | |
| 51.0% | (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))) (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) | |
| 51.7% | (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))) (log1p.f64 (fabs.f64 x)))) x) | |
| 11.3% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) | |
| ▶ | 64.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ▶ | 7.8% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
Compiled 486 to 336 computations (30.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) | |
| cost-diff | 0 | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| cost-diff | 0 | (fabs.f64 x) | |
| cost-diff | 0 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (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))))) | |
| cost-diff | 0 | (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) | |
| 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 | (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 | 31 | 229 |
| 0 | 52 | 229 |
| 1 | 66 | 229 |
| 2 | 73 | 229 |
| 3 | 79 | 229 |
| 4 | 88 | 229 |
| 5 | 119 | 229 |
| 6 | 151 | 229 |
| 7 | 198 | 229 |
| 8 | 292 | 229 |
| 9 | 373 | 229 |
| 10 | 515 | 229 |
| 11 | 598 | 229 |
| 12 | 634 | 229 |
| 13 | 664 | 229 |
| 14 | 676 | 229 |
| 0 | 676 | 229 |
| 1× | iter limit |
| 1× | saturated |
| 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)))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) |
(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))))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) 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)))) (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)))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x))) x) |
(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))))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
#s(literal 1 binary64) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) 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 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) | |
| accuracy | 0 | (fabs.f64 x) | |
| accuracy | 0.00390625 | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) | |
| accuracy | 6.044956042546542 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0 | (fabs.f64 x) | |
| accuracy | 0.00390625 | (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))))) | |
| accuracy | 12.455879674899814 | #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 0 | (-.f64 (fabs.f64 x) x) | |
| accuracy | 0 | (fabs.f64 x) | |
| accuracy | 0.00390625 | (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) | |
| accuracy | 13.184262909401683 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) | |
| accuracy | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) | |
| accuracy | 0 | (log.f64 x) | |
| accuracy | 9.382706293404814 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) | |
| accuracy | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) | |
| accuracy | 0 | (log1p.f64 (fabs.f64 x)) | |
| accuracy | 0 | (fabs.f64 x) | |
| accuracy | 9.331830625355362 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) |
| 96.0ms | 141× | 0 | invalid |
| 13.0ms | 61× | 1 | exit |
| 9.0ms | 54× | 0 | valid |
Compiled 433 to 52 computations (88% saved)
ival-add: 75.0ms (72.7% of total)ival-log: 9.0ms (8.7% of total)ival-copysign: 4.0ms (3.9% of total)ival-hypot: 4.0ms (3.9% of total)adjust: 3.0ms (2.9% of total)ival-mult: 3.0ms (2.9% of total)ival-fabs: 2.0ms (1.9% of total)ival-log1p: 2.0ms (1.9% of total)ival-sub: 1.0ms (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)))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) |
(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))))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) 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))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x x) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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 (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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) |
(log x) |
(log x) |
(log x) |
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(pow x 2) |
(pow x 2) |
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(fabs x) |
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
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(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 78.0ms | 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)))) (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))) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* x x)) |
| 60.0ms | 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)))) (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))) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* x x)) |
| 41.0ms | 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)))) (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))) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 173 | 3032 |
| 1 | 490 | 2897 |
| 2 | 1512 | 2864 |
| 3 | 5274 | 2709 |
| 0 | 8286 | 2488 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
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(log (+ 1 (fabs x))) |
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(+ (fabs x) (* -1 x)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))))) |
(+ 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)))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))))) |
(+ 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 (* 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 |
(+ 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))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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)))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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)))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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 x) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) 1)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))) |
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)))) |
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) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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 (* 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 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))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| 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) |
(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) |
(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) |
(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 #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) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (fma.f64 (pow.f64 x #s(literal 4 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)))) (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 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.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 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x 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))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 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) |
(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) |
(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) |
(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 #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) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (fma.f64 (pow.f64 x #s(literal 4 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)))) (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 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.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 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x 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 x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 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) |
(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) |
(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) |
(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 #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) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (fma.f64 (pow.f64 x #s(literal 4 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)))) (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 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.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 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x 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)))) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ 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)) |
(fabs x) |
(fabs.f64 x) |
(+ (fabs x) (* -1 x)) |
(-.f64 (fabs.f64 x) x) |
(+ (fabs x) (* -1 x)) |
(-.f64 (fabs.f64 x) x) |
(+ (fabs x) (* -1 x)) |
(-.f64 (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) |
(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) |
(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) |
(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 #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) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (fma.f64 (pow.f64 x #s(literal 4 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)))) (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))))))) |
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(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
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(+ 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)) |
(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) |
(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) |
(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) |
(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 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) |
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(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (fma.f64 (pow.f64 x #s(literal 4 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)))) (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 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.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 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x 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)))) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ 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 |
#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)) |
1 |
#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)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.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) |
(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) |
(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) |
(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) |
(* -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 (/.f64 #s(literal 1 binary64) 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 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 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) |
(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) |
(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) |
(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) |
(* -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 (/.f64 #s(literal 1 binary64) 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 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 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) |
(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) |
(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) |
(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) |
(* -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 (/.f64 #s(literal 1 binary64) 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 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (fabs x) x) 1)) |
(-.f64 (fabs.f64 x) x) |
(* x (- (/ (fabs x) x) 1)) |
(-.f64 (fabs.f64 x) x) |
(* x (- (/ (fabs x) x) 1)) |
(-.f64 (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) |
(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) |
(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) |
(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) |
(* -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 (/.f64 #s(literal 1 binary64) 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 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))) |
(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) |
(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) |
(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) |
(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) |
(* -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 (/.f64 #s(literal 1 binary64) 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 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 |
(* 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))) |
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))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.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) |
(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) |
(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) |
(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) |
(* -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))) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 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) |
(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) |
(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) |
(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) |
(* -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))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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) |
(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) |
(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) |
(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) |
(* -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) (/.f64 #s(literal 1/2 binary64) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.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) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f64 (fabs.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f64 (fabs.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f64 (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) |
(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) |
(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) |
(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) |
(* -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) (/.f64 #s(literal 1/2 binary64) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.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) |
(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) |
(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) |
(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) |
(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) |
(* -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) (/.f64 #s(literal 1/2 binary64) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.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) |
(* -1 x) |
(neg.f64 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)))) |
(* -1 x) |
(neg.f64 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)))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 205 |
| 0 | 52 | 205 |
| 1 | 140 | 205 |
| 2 | 905 | 193 |
| 0 | 9114 | 193 |
| 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)))) (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)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))) x) |
(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))))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) 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))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 x 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)) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (*.f64 (neg.f64 x) x))) (*.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x))))) (+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 (fabs.f64 x))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))) (+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (*.f64 (neg.f64 x) x)) (fma.f64 (log1p.f64 (neg.f64 (fabs.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x))) (*.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 (fabs.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (fma.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) (*.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (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 (*.f64 (neg.f64 x) x)) (log1p.f64 (neg.f64 (fabs.f64 x)))) |
(-.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 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (log1p.f64 (neg.f64 (fabs.f64 x))))) |
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))) |
(+.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)) |
(fabs.f64 (-.f64 x #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(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))) #s(literal 0 binary64))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x))) x) |
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))) (*.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))))) (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))))))) (+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (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))))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x))))) (+.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (fma.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (fma.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))))) (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))))) (*.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (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))))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x))) (*.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x))))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x))) (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))))) (log.f64 (neg.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))))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)))) (log.f64 (neg.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (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)))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))))))) |
(-.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x))))) |
(+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.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))))))) |
(+.f64 (log.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (log.f64 (pow.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)))) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (log.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x))))) |
(+.f64 (log.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (pow.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x)) #s(literal -1 binary64)))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x))) |
(*.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 x x))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.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))))))) |
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(fabs.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) x) #s(literal 0 binary64)) |
(+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 #s(literal 0 binary64) (*.f64 (fabs.f64 x) (neg.f64 x))) |
Compiled 16 144 to 1 728 computations (89.3% saved)
14 alts after pruning (9 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 548 | 6 | 554 |
| Fresh | 4 | 3 | 7 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 552 | 14 | 566 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 4.7% | (copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
| ▶ | 5.9% | (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
| ✓ | 29.0% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| ✓ | 9.1% | (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) |
| 31.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) | |
| ▶ | 19.2% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
| 23.6% | (copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) x) | |
| ✓ | 32.0% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
| ▶ | 2.7% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) |
| 51.0% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (fma.f64 (pow.f64 x #s(literal 4 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)))) (log1p.f64 (fabs.f64 x))))) x) | |
| ▶ | 51.7% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x) |
| 11.3% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) | |
| ✓ | 64.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | 7.8% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
Compiled 460 to 319 computations (30.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 64 | (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) | |
| cost-diff | 896 | (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) | |
| cost-diff | 6400 | (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) | |
| 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 | (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 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) | |
| cost-diff | 0 | #s(approx (log (+ (sqrt (+ (* x x) 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)))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 321 |
| 0 | 69 | 284 |
| 1 | 98 | 284 |
| 2 | 149 | 284 |
| 3 | 218 | 284 |
| 4 | 331 | 284 |
| 5 | 483 | 284 |
| 6 | 889 | 284 |
| 7 | 2488 | 284 |
| 8 | 4397 | 284 |
| 9 | 6481 | 284 |
| 10 | 7580 | 284 |
| 0 | 8045 | 284 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x) |
#s(approx (log (+ (sqrt (+ (* x x) 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)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 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 |
(log1p.f64 (fabs.f64 x)) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
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 (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) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) |
(neg.f64 x) |
x |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (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 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fabs.f64 x) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (sqrt (+ (* x x) 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)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (log1p.f64 (fabs.f64 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))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) #s(literal 1/2 binary64) (log1p.f64 (fabs.f64 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 |
(log1p.f64 (fabs.f64 x)) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
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 (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) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.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) |
(-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.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 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) |
#s(literal 0 binary64) |
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(neg.f64 x) |
x |
(fma.f64 x x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
(neg.f64 (-.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)))) |
(fabs.f64 x) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 15.784507225356634 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 28.959835699847435 | (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) | |
| accuracy | 29.77007302908472 | (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) | |
| accuracy | 30.529206155524147 | (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 0 | (fabs.f64 x) | |
| accuracy | 15.784507225356634 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 28.959835699847435 | (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) | |
| accuracy | 29.77007302908472 | (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) | |
| accuracy | 0 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64))) | |
| accuracy | 0 | (fabs.f64 x) | |
| accuracy | 29.20915059720343 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) | |
| accuracy | 30.390372145829204 | #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) | |
| accuracy | 0 | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) | |
| accuracy | 29.20915059720343 | (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) | |
| accuracy | 61.55014488251794 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) | |
| accuracy | 0.01171875 | (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) | |
| accuracy | 0.08127873016428752 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) | |
| accuracy | 30.240081416793927 | #s(approx (log (+ (sqrt (+ (* x x) 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)))) |
| 211.0ms | 213× | 1 | valid |
| 114.0ms | 40× | 2 | valid |
| 1.0ms | 3× | 1 | exit |
Compiled 646 to 76 computations (88.2% saved)
ival-log: 127.0ms (44.5% of total)ival-add: 46.0ms (16.1% of total)ival-hypot: 35.0ms (12.3% of total)adjust: 24.0ms (8.4% of total)ival-copysign: 18.0ms (6.3% of total)ival-mult: 12.0ms (4.2% of total)ival-sub: 8.0ms (2.8% of total)ival-neg: 6.0ms (2.1% of total)ival-div: 3.0ms (1.1% of total)ival-log1p: 3.0ms (1.1% of total)ival-fabs: 1.0ms (0.4% 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 (+ (sqrt (+ (* x x) 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)))) x) |
#s(approx (log (+ (sqrt (+ (* x x) 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)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) |
(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) |
(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)) |
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) |
(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 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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 (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))))) |
(+ 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)))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))))) |
(+ 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) |
(fabs x) |
(fabs x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) 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 (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)) |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
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)) |
(* -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) (+ (* 45 (/ 1 (- 1 (fabs x)))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 30 (/ 1 (pow (- 1 (fabs x)) 3))))))) (* -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 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (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 |
(+ 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) 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))) |
(+ (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))))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (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)))))) |
(* -1 (log (/ 1 x))) |
(+ (* -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)))))) |
x |
(* 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)))) |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
x |
(* 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)))) |
(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)))))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (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)))) |
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 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))))) |
(* -1 (log (/ 1 x))) |
(+ (* -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)))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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))))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (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 (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 (* 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))))) |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
(* -1 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)))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(* -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 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))))) |
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))) |
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(+ (* -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 | |
|---|---|---|---|---|
| 190.0ms | x | @ | 0 | ((copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 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))) (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 (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) (log (- (sqrt (+ (* x x) 1)) (fabs x))) (- (sqrt (+ (* x x) 1)) (fabs x)) (log (+ (* (neg x) x) (+ (* x x) 1))) (+ (* (neg x) x) (+ (* x x) 1)) (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (- (fabs x) (sqrt (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) |
| 6.0ms | x | @ | inf | ((copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 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))) (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 (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) (log (- (sqrt (+ (* x x) 1)) (fabs x))) (- (sqrt (+ (* x x) 1)) (fabs x)) (log (+ (* (neg x) x) (+ (* x x) 1))) (+ (* (neg x) x) (+ (* x x) 1)) (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (- (fabs x) (sqrt (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) |
| 5.0ms | x | @ | -inf | ((copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ 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))) (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 (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (neg (log (- (sqrt (+ (* x x) 1)) (fabs x)))) (log (- (sqrt (+ (* x x) 1)) (fabs x))) (- (sqrt (+ (* x x) 1)) (fabs x)) (log (+ (* (neg x) x) (+ (* x x) 1))) (+ (* (neg x) x) (+ (* x x) 1)) (neg (- (fabs x) (sqrt (+ (* x x) 1)))) (- (log (+ (* (neg x) x) (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (- (fabs x) (sqrt (+ (* x x) 1))) (log (neg (- (fabs x) (sqrt (+ (* x x) 1)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 3977 |
| 1 | 1024 | 3784 |
| 2 | 3260 | 3716 |
| 0 | 8282 | 3449 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
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(log (+ 1 (fabs x))) |
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(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
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(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
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0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
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1 |
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1 |
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x |
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(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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))))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (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 (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 (* 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))))) |
0 |
0 |
0 |
0 |
1 |
1 |
1 |
1 |
(* -1 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)))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(* -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 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))))) |
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))) |
(* -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))) |
| 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) |
(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) |
(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) |
(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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) 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 (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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.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 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 (fabs.f64 x) #s(literal 1 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))))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) 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 (fabs.f64 x) #s(literal 1 binary64))) x) 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 (fabs.f64 x) #s(literal 1 binary64))) x) x (log1p.f64 (fabs.f64 x))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 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) |
(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) |
(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) |
(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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) 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 (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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.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 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 (fabs.f64 x) #s(literal 1 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))))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (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 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f64 (*.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)) x) x (+.f64 (fabs.f64 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) |
(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) |
(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) |
(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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) 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 (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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.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 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 45 binary64) (+.f64 (fabs.f64 x) #s(literal 1 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))))) (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (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 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (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 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f64 (*.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)) x) x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 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) |
(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) |
(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) |
(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) |
(* -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)))) |
(-.f64 (*.f64 (/.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) (- (* 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)))) |
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(-.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 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 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))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) #s(literal 1 binary64)) x) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
1 |
#s(literal 1 binary64) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 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))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) #s(literal 1 binary64)) 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)) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) 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 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) 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)) |
x |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(fma.f64 (/.f64 (fabs.f64 x) x) x x) |
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (fabs.f64 x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)))) x) x x) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) 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 | 39 | 260 |
| 0 | 67 | 257 |
| 1 | 208 | 247 |
| 2 | 1543 | 247 |
| 0 | 8304 | 244 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x) |
#s(approx (log (+ (sqrt (+ (* x x) 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)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (log1p.f64 (fabs.f64 x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64)) |
(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) |
(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)) |
(log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) |
(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 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)) (log1p.f64 (fabs.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 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 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64)) (log1p.f64 (fabs.f64 x)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x)))) (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x)))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (fabs.f64 x)) (-.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x)))) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x))) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) (log1p.f64 (fabs.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) #s(literal 2 binary64))) (-.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (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 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (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))) (/.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 (pow.f64 x #s(literal 3 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))))) (/.f64 (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)))))) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x)) |
(+.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 (fabs.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.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 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (log.f64 (fma.f64 (fabs.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (fma.f64 (fabs.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (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 (fma.f64 (fabs.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) x x))) #s(literal 3 binary64)) (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 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) x x))) #s(literal 2 binary64)) (fma.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 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64)) (-.f64 (*.f64 (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(neg.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) |
(-.f64 (log.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(-.f64 (log.f64 (*.f64 #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))))) (log.f64 (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)))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)))) (log.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64)))) (log.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) |
(-.f64 (log.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))))) (log.f64 (neg.f64 (fma.f64 (fabs.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) (log.f64 (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)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log.f64 (neg.f64 (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))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) |
(-.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 x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fabs.f64 x))))))) |
(-.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 (fma.f64 (fabs.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) x x))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fabs.f64 x))))) |
(-.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) x x))) (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) |
(+.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) x x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) x x) #s(literal 1 binary64)) (fma.f64 x (fma.f64 #s(literal -1 binary64) x x) #s(literal 1 binary64)))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(+.f64 (log.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) 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))))) (log.f64 (-.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 (log.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal -1 binary64) 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))))) (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 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (log.f64 (pow.f64 (fma.f64 (fabs.f64 x) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (log1p.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) x x))) (log.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)))) |
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
Compiled 39 182 to 4 091 computations (89.6% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 099 | 4 | 1 103 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 103 | 14 | 1 117 |
| Status | Accuracy | Program |
|---|---|---|
| 4.7% | (copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) | |
| ▶ | 9.1% | (copysign.f64 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) x) |
| ✓ | 29.0% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| ✓ | 9.1% | (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) |
| ▶ | 31.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
| ✓ | 19.2% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
| ▶ | 23.6% | (copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) x) |
| ✓ | 32.0% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
| ▶ | 51.0% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
| ✓ | 51.7% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x) |
| 11.3% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) | |
| ▶ | 6.3% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
| ✓ | 64.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | 7.8% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
Compiled 486 to 326 computations (32.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)) | |
| cost-diff | 0 | (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x))) | |
| cost-diff | 0 | (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) | |
| cost-diff | 0 | (copysign.f64 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) x) | |
| cost-diff | 0 | (+.f64 (fabs.f64 x) x) | |
| cost-diff | 0 | #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) | |
| cost-diff | 0 | #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) | |
| cost-diff | 0 | #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) | |
| cost-diff | 1024 | (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) | |
| cost-diff | 6464 | (*.f64 (+.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)))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 576 |
| 0 | 87 | 576 |
| 1 | 125 | 576 |
| 2 | 171 | 576 |
| 3 | 276 | 576 |
| 4 | 562 | 566 |
| 5 | 1156 | 566 |
| 6 | 2320 | 557 |
| 7 | 3945 | 557 |
| 8 | 5002 | 557 |
| 9 | 7048 | 557 |
| 0 | 8366 | 532 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.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 (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.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 (+.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)))) x) 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 (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)))) x) |
(+.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)))) |
(/.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 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
x |
#s(literal 1 binary64) |
#s(literal 2 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 1/2 binary64) |
(*.f64 x x) |
(log1p.f64 (fabs.f64 x)) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (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 (+ 1 (fabs x))) x) x) (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 (fabs.f64 x) #s(literal 1 binary64))) 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 (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) |
(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(fabs.f64 x) |
x |
(copysign.f64 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) |
(log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x))) |
(-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(fabs.f64 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) |
(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) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.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 (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) #s(literal -1/8 binary64)) x) (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) (/.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 (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)))) 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 (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)))) |
(+.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 (fabs.f64 x) #s(literal 1 binary64)) #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 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 2 binary64)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(-.f64 (fabs.f64 x) #s(literal -1 binary64)) |
(fabs.f64 x) |
x |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 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 #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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) |
#s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (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 (+ 1 (fabs x))) x) x) (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 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) 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))) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(/.f64 #s(literal 1/2 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 1/2 binary64) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(-.f64 (fabs.f64 x) #s(literal -1 binary64)) |
(fabs.f64 x) |
x |
#s(literal 1 binary64) |
(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(fabs.f64 x) |
x |
(copysign.f64 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) |
(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)))) |
(log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x))) |
(log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x))) |
(-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)) |
(-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) (fabs.f64 x)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 x x) |
x |
#s(literal 1 binary64) |
(fabs.f64 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 #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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) | |
| accuracy | 0 | (fabs.f64 x) | |
| accuracy | 14.686115011405942 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) | |
| accuracy | 29.27107641824666 | #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) | |
| accuracy | 0 | (fabs.f64 x) | |
| accuracy | 12.582550345336864 | (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)) | |
| accuracy | 12.663896309551962 | #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 14.678935712702922 | (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x))) | |
| accuracy | 0 | (+.f64 (fabs.f64 x) x) | |
| accuracy | 0 | (fabs.f64 x) | |
| accuracy | 14.686115011405942 | (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) | |
| accuracy | 15.570174378412267 | #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x)) | |
| accuracy | 0.01171875 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) | |
| accuracy | 0.0390625 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) | |
| accuracy | 12.904530797679154 | #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) | |
| accuracy | 15.566100161362312 | #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) | |
| accuracy | 0.03125 | (*.f64 (+.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)))) x) | |
| accuracy | 0.03515625 | (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) | |
| accuracy | 0.2153999993897009 | (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| accuracy | 13.550659745482097 | #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
| 77.0ms | 100× | 1 | valid |
| 61.0ms | 137× | 1 | exit |
| 39.0ms | 14× | 2 | valid |
| 2.0ms | 5× | 0 | valid |
Compiled 967 to 100 computations (89.7% saved)
ival-log: 48.0ms (32.3% of total)adjust: 22.0ms (14.8% of total)ival-add: 17.0ms (11.4% of total)ival-mult: 17.0ms (11.4% of total)ival-div: 12.0ms (8.1% of total)ival-copysign: 11.0ms (7.4% of total)ival-hypot: 9.0ms (6.1% of total)ival-sub: 3.0ms (2% of total)ival-log1p: 3.0ms (2% of total)ival-pow2: 3.0ms (2% of total)ival-neg: 2.0ms (1.3% of total)ival-fabs: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (+.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)))) x) |
(fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.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 (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (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 (+ 1 (fabs x))) x) x) (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 (fabs.f64 x) #s(literal 1 binary64))) x) x) |
(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) |
(log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x))) |
(-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 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) |
(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) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
| Outputs |
|---|
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(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))))))) |
(+ (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))))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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 (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))))) |
(+ 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)) |
(+ x (fabs x)) |
(+ x (fabs x)) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) 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 (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 (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))))) |
(+ 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) |
(fabs x) |
(fabs x) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (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 |
(+ 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 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -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))))) |
(* (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))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (/ (fabs x) x))) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (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)))))) |
(* -1 (log (/ 1 x))) |
(+ (* -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)))))) |
x |
(* 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 (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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)))) |
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(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
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x |
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3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | 0 | ((* (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1))) x) (+ (* (+ (* (* (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1))) x) x) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (fabs x) 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))) (- (sqrt (+ (* x x) 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) (/ -1/8 (pow (+ (fabs x) 1) 2)) (* (/ 1/2 (+ (fabs x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1))) |
| 6.0ms | x | @ | inf | ((* (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1))) x) (+ (* (+ (* (* (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1))) x) x) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (fabs x) 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))) (- (sqrt (+ (* x x) 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) (/ -1/8 (pow (+ (fabs x) 1) 2)) (* (/ 1/2 (+ (fabs x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1))) |
| 6.0ms | x | @ | -inf | ((* (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1))) x) (+ (* (+ (* (* (+ (/ -1/8 (pow (+ (fabs x) 1) 2)) (/ -1/8 (+ (fabs x) 1))) x) x) (/ 1/2 (+ (fabs x) 1))) (* x x)) (log (+ 1 (fabs x)))) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ (fabs x) 1)) x) x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (+ (fabs x) 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))) (- (sqrt (+ (* x x) 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) (/ -1/8 (pow (+ (fabs x) 1) 2)) (* (/ 1/2 (+ (fabs x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 317 | 4308 |
| 1 | 1018 | 4132 |
| 2 | 3376 | 4085 |
| 0 | 8145 | 3794 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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1 |
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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 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -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))))) |
(* (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))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (/ (fabs x) x))) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (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)))))) |
(* -1 (log (/ 1 x))) |
(+ (* -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)))))) |
x |
(* 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 (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (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)))) |
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 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -1 (* x (+ (* 1/8 (/ 1 (+ 1 (fabs x)))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2)))))) |
(* -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))))) |
(* (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))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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))))) |
x |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (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 (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 (* 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))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) 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))) |
(* -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))))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* -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 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 (* 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 (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)))) 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 (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)))) 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 (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)))) 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 (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)))) 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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) 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 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x (fma.f64 (-.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)))) (pow.f64 x #s(literal 4 binary64)) (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 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x (fma.f64 (-.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)))) (pow.f64 x #s(literal 4 binary64)) (log1p.f64 (fabs.f64 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) |
(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) |
(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) |
(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 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) 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 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x (fma.f64 (-.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)))) (pow.f64 x #s(literal 4 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))))))) |
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
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1 |
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(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/ -1/8 (pow (+ 1 (fabs x)) 2)) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(* -1 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)) |
(* -1 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 | 53 | 459 |
| 0 | 87 | 459 |
| 1 | 308 | 459 |
| 2 | 2466 | 455 |
| 0 | 9161 | 436 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.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)))) x) |
(fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.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 (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (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 (+ 1 (fabs x))) x) x) (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 (fabs.f64 x) #s(literal 1 binary64))) x) x) |
(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) |
(log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x))) |
(-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 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) |
(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) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
| Outputs |
|---|
(*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(*.f64 x (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) x)) (neg.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -6 binary64)) #s(literal -1/512 binary64))) x)) (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -4 binary64)) #s(literal 1/64 binary64) (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -1/8 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) x)) (pow.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -6 binary64)) #s(literal -1/512 binary64))))) (neg.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -4 binary64)) #s(literal 1/64 binary64) (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -1/8 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/8 binary64) #s(literal -1/8 binary64))))) (pow.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) x) (*.f64 #s(literal -1/8 binary64) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -6 binary64)) #s(literal -1/512 binary64))) x) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -4 binary64)) #s(literal 1/64 binary64) (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -1/8 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/8 binary64) #s(literal -1/8 binary64))) x) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) |
(/.f64 (*.f64 x (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 2 binary64)) #s(literal 1/64 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/8 binary64) (/.f64 (expm1.f64 (neg.f64 (log1p.f64 (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -6 binary64)) #s(literal -1/512 binary64)))) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -4 binary64)) #s(literal 1/64 binary64) (/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 x (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -1/8 binary64) (fma.f64 (fabs.f64 x) #s(literal -1/8 binary64) #s(literal -1/8 binary64)))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) |
(fma.f64 (/.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))) x)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) x (*.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) |
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) |
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (*.f64 x (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(+.f64 (*.f64 (/.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))) x)) |
(+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) x) (*.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x)) |
(+.f64 (*.f64 x (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 x (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) (*.f64 x (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -1/8 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 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 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -1/8 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))))) (log1p.f64 (fabs.f64 x))) #s(literal -1 binary64))) |
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(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #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)) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #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)) (*.f64 x x)) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #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)) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 #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)) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64))) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #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)) (*.f64 x x)) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #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)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) (-.f64 (*.f64 x x) (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #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)) (*.f64 x x)) (+.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) (/.f64 (pow.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) #s(literal 2 binary64)) (-.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)) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(*.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(*.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 (-.f64 x #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(fabs.f64 (neg.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -1/8 binary64)) |
(*.f64 (exp.f64 (neg.f64 (log1p.f64 (fabs.f64 x)))) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 #s(literal 1/8 binary64) (pow.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 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 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) |
(pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -8 binary64)))) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -8 binary64))) |
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -8 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) 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 (*.f64 #s(literal 1/2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 (fabs.f64 x))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 (log1p.f64 (fabs.f64 x)))) x)) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (neg.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64)))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -1 binary64) (fabs.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
Compiled 25 762 to 2 037 computations (92.1% saved)
18 alts after pruning (7 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 641 | 5 | 646 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 642 | 18 | 660 |
| Status | Accuracy | Program |
|---|---|---|
| 4.7% | (copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) | |
| ✓ | 9.1% | (copysign.f64 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 x)))) x) |
| ✓ | 29.0% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| ✓ | 9.1% | (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) |
| ✓ | 31.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
| ✓ | 19.2% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary64)))) x) |
| ✓ | 23.6% | (copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f64 (fabs.f64 x) x))) x) |
| ✓ | 32.0% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
| 51.0% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) | |
| ✓ | 51.7% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x) |
| 11.3% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) | |
| 6.2% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) | |
| 6.3% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) | |
| 6.2% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)))) x) | |
| 6.1% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) | |
| ✓ | 6.3% | (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
| ✓ | 64.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | 7.8% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
Compiled 1 205 to 478 computations (60.3% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) 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) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.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 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 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) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.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) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) 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 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.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)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (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) 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 (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (fma.f64 (pow.f64 x #s(literal 4 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)))) (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 (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (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:
| 10.0ms | x |
| 7.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 99.2% | 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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) 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) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.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 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 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) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.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) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) 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 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 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)))) 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 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
2 calls:
| 7.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | x |
| 99.1% | 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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) 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) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.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 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fabs.f64 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) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.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) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) 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)))) (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:
| 6.0ms | 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 |
|---|---|---|
| 98.6% | 3 | x |
| 98.6% | 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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) 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) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.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 (neg.f64 (log.f64 (-.f64 #s(approx (sqrt (+ (* x x) 1)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #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:
| 117.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 5.0ms | 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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) 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) |
| 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:
| 3.0ms | x |
| 3.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.5% | 2 | x |
| 78.5% | 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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
2 calls:
| 3.0ms | x |
| 3.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.2% | 1 | x |
| 64.2% | 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)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(literal 0 binary64))) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
2 calls:
| 3.0ms | x |
| 3.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.6% | 2 | x |
| 11.6% | 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)
Total -0.1b remaining (-0.2%)
Threshold costs -0.1b (-0.2%)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) x))) x))) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.3% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 6.3% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.42310021210625465 | 21.675942139913175 |
| 0.0ms | -3.021117956566767 | -7.375494918982805e-5 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.42310021210625465 | 21.675942139913175 |
| 0.0ms | -3.021117956566767 | -7.375494918982805e-5 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.42310021210625465 | 21.675942139913175 |
| 0.0ms | -3.021117956566767 | -7.375494918982805e-5 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.42310021210625465 | 21.675942139913175 |
| 0.0ms | -3.021117956566767 | -7.375494918982805e-5 |
Compiled 15 to 13 computations (13.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.42310021210625465 | 21.675942139913175 |
Compiled 15 to 13 computations (13.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 5.363259914255401e-16 | 0.4358371456287269 |
| 11.0ms | 160× | 0 | valid |
Compiled 565 to 391 computations (30.8% saved)
ival-log: 2.0ms (27.6% of total)ival-hypot: 2.0ms (27.6% of total)ival-copysign: 1.0ms (13.8% of total)ival-add: 1.0ms (13.8% of total)ival-fabs: 1.0ms (13.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 528 |
| 1 | 98 | 528 |
| 2 | 103 | 528 |
| 3 | 105 | 528 |
| 4 | 106 | 528 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -2 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (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 -2 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 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 (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 -2 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 1/2 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 -2 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 1/2 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 1/2 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 x #s(literal 7782220156096217/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) 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 -2 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 1/2 binary64)) (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) x (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x x) (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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x))) x) #s(literal 1/2 binary64)) (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.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 #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 -2 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 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 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x))) 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 #s(literal 1 binary64) (fabs.f64 x))) (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 -2 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 1/2 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x))) x) #s(literal -2 binary64)) (copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x))) x) #s(literal 1/2 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 -2 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 1/2 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x))) x) #s(literal -2 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x))) x) #s(literal 1/2 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 1/2 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 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))) (fabs.f64 x))) x) #s(literal 1/2 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 x #s(literal 7782220156096217/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)) |
(if (<=.f64 x #s(literal 7782220156096217/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (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 (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) #s(approx (+ (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #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 | 9 | 47 |
| 0 | 16 | 47 |
| 1 | 51 | 47 |
| 2 | 324 | 47 |
| 3 | 3419 | 47 |
| 0 | 8352 | 42 |
| 0 | 338 | 3977 |
| 1 | 1024 | 3784 |
| 2 | 3260 | 3716 |
| 0 | 8282 | 3449 |
| 0 | 169 | 818 |
| 1 | 490 | 790 |
| 2 | 1513 | 777 |
| 3 | 5414 | 727 |
| 0 | 8408 | 671 |
| 0 | 53 | 459 |
| 0 | 87 | 459 |
| 1 | 308 | 459 |
| 2 | 2466 | 455 |
| 0 | 9161 | 436 |
| 0 | 173 | 3032 |
| 1 | 490 | 2897 |
| 2 | 1512 | 2864 |
| 3 | 5274 | 2709 |
| 0 | 8286 | 2488 |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 837 to 274 computations (67.3% saved)
Compiled 1 120 to 200 computations (82.1% saved)
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