
Time bar (total: 7.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 4 to 4 computations (0% saved)
| 362.0ms | 8 256× | 0 | valid |
ival-asinh: 103.0ms (92% 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 |
|---|---|---|---|---|---|
| 124 | 0 | - | 0 | - | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 79 | 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 | 124 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 79 | 0 |
| ↳ | (*.f64 x x) | overflow | 79 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 79 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 203 | 0 |
| - | 0 | 53 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 203 | 0 | 0 |
| - | 0 | 0 | 53 |
| number | freq |
|---|---|
| 0 | 53 |
| 1 | 203 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 577.0ms | 136× | 1 | valid |
| 50.0ms | 104× | 2 | valid |
| 25.0ms | 272× | 0 | valid |
Compiled 163 to 40 computations (75.5% saved)
ival-log: 574.0ms (91% of total)ival-hypot: 21.0ms (3.3% of total)ival-mult: 13.0ms (2.1% of total)adjust: 7.0ms (1.1% of total)ival-copysign: 7.0ms (1.1% of total)ival-add: 6.0ms (1% of total)ival-fabs: 3.0ms (0.5% 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 |
|---|---|---|
| ▶ | 25.4% | (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 | 0.0 | (fabs.f64 x) | |
| accuracy | 0.0078125 | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | |
| accuracy | 18.469378235637596 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | |
| accuracy | 28.631775133102863 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 30.0ms | 52× | 2 | valid |
| 15.0ms | 68× | 1 | valid |
| 15.0ms | 136× | 0 | valid |
Compiled 100 to 20 computations (80% saved)
ival-log: 19.0ms (44.7% of total)ival-hypot: 9.0ms (21.2% of total)ival-add: 4.0ms (9.4% of total)adjust: 3.0ms (7.1% of total)ival-copysign: 3.0ms (7.1% of total)ival-fabs: 2.0ms (4.7% of total)ival-mult: 2.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fabs.f64 x) |
| Outputs |
|---|
1 |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fabs x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x)) |
| 1.0ms | x | @ | -inf | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x)) |
| 1.0ms | x | @ | inf | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1)) (fabs x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 586 |
| 1 | 490 | 558 |
| 2 | 1525 | 545 |
| 3 | 5471 | 495 |
| 0 | 8548 | 457 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fabs x) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x)))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/720 binary64) (*.f64 x x)) #s(literal 45 binary64))) (*.f64 (*.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1/720 binary64)) (*.f64 x x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(fabs x) |
(fabs.f64 x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f64 (/.f64 (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/6 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(+.f64 (fabs.f64 x) x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x)) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f64 (fabs.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 0 | 16 | 44 |
| 1 | 51 | 44 |
| 2 | 324 | 44 |
| 3 | 3427 | 44 |
| 0 | 8363 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
(sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
(fabs.f64 x) |
| Outputs |
|---|
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (neg.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))))) |
(*.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 x x))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x)))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 4 binary64)))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x)))) |
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (log1p.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64))) (+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) |
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) |
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(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 3/2 binary64))))) |
(/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (fma.f64 x x (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal -1 binary64)))) (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (fabs.f64 x)) |
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (fabs.f64 x)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) (fabs.f64 x)) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x (/.f64 x (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (/.f64 (*.f64 x x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) |
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(pow.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 (-.f64 x #s(literal 0 binary64))) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fabs.f64 x))) |
Compiled 8 175 to 1 649 computations (79.8% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 8 | 316 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 309 | 8 | 317 |
| Status | Accuracy | Program |
|---|---|---|
| 25.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| ▶ | 28.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
| 26.8% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) | |
| ▶ | 28.7% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
| 27.3% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) | |
| ▶ | 51.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
| ▶ | 64.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ▶ | 9.3% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
Compiled 276 to 198 computations (28.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) | |
| cost-diff | 0 | (fabs.f64 x) | |
| cost-diff | 0 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.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 (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 | 33 | 277 |
| 0 | 53 | 277 |
| 1 | 69 | 277 |
| 2 | 84 | 277 |
| 3 | 98 | 277 |
| 4 | 117 | 277 |
| 5 | 166 | 277 |
| 6 | 228 | 277 |
| 7 | 322 | 277 |
| 8 | 526 | 277 |
| 9 | 1013 | 277 |
| 10 | 1583 | 277 |
| 11 | 1989 | 277 |
| 12 | 2068 | 277 |
| 13 | 2129 | 277 |
| 14 | 2156 | 277 |
| 15 | 2160 | 277 |
| 0 | 2160 | 264 |
| 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)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
#s(literal 1 binary64) |
(log1p.f64 (fabs.f64 x)) |
| Outputs |
|---|
(copysign.f64 #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)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x)) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x))) x) #s(literal -1/2 binary64) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x))) x) #s(literal -1/2 binary64) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x))) x) #s(literal -1/2 binary64) (log1p.f64 (fabs.f64 x))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 x (-.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(-.f64 (fabs.f64 x) #s(literal -1 binary64)) |
(fabs.f64 x) |
#s(literal 1 binary64) |
(log1p.f64 (fabs.f64 x)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.0 | (log1p.f64 (fabs.f64 x)) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 14.971672617516974 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 0.00390625 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) | |
| accuracy | 0.15219994164397882 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) | |
| accuracy | 15.904081694782331 | #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) | |
| accuracy | 0.0 | (-.f64 (fabs.f64 x) x) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 0.15219994164397882 | (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) | |
| accuracy | 15.6542045823856 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x)) | |
| accuracy | 0.0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 10.95961462428623 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) | |
| accuracy | 0.0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) | |
| accuracy | 0.0 | (log1p.f64 (fabs.f64 x)) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 10.758431157458968 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) |
| 37.0ms | 64× | 0 | valid |
| 35.0ms | 71× | 1 | exit |
| 25.0ms | 121× | 0 | invalid |
Compiled 482 to 55 computations (88.6% saved)
ival-mult: 29.0ms (35.4% of total)adjust: 23.0ms (28.1% of total)ival-log: 10.0ms (12.2% of total)ival-div: 4.0ms (4.9% of total)ival-hypot: 4.0ms (4.9% of total)ival-add: 3.0ms (3.7% of total)ival-copysign: 2.0ms (2.4% of total)ival-fabs: 2.0ms (2.4% of total)ival-sub: 2.0ms (2.4% of total)ival-log1p: 2.0ms (2.4% 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 (+ (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)) (-.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))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fabs x) |
(log x) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ (fabs x) (* -1 x)) |
(* 1/2 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 (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)) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 148.0ms | 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 (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (sqrt (+ (* x x) 1))) |
| 59.0ms | 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 (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (sqrt (+ (* x x) 1))) |
| 47.0ms | 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 (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* 1/2 x) (sqrt (+ (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 619 |
| 1 | 501 | 590 |
| 2 | 1540 | 582 |
| 3 | 5368 | 530 |
| 0 | 8468 | 491 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fabs x) |
(log x) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ (fabs x) (* -1 x)) |
(* 1/2 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 (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)) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 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 |
|---|
(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 (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 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)))))) 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)))) |
(fabs x) |
(fabs.f64 x) |
(log x) |
(log.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) (* -1 x)) |
(-.f64 (fabs.f64 x) x) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) 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 (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) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f64 (fabs.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.f64 (-.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 242 |
| 0 | 53 | 242 |
| 1 | 167 | 242 |
| 2 | 1223 | 230 |
| 0 | 8524 | 217 |
| 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)) (-.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))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) 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 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) (+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(/.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 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) |
(/.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 (neg.f64 (log1p.f64 (fabs.f64 x)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(-.f64 (log.f64 (neg.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 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (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) (neg.f64 (log1p.f64 (fabs.f64 x)))) |
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (*.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)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (fabs.f64 x))) x) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))) (-.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x))))) (fma.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x))))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x (pow.f64 x #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x))) |
(fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (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))) |
(fma.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x)))))) |
(fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) x) (log1p.f64 (fabs.f64 x))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (log1p.f64 (fabs.f64 x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x))) |
(fma.f64 x (*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) (log1p.f64 (fabs.f64 x))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (fabs.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x)))))) |
(+.f64 (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x) (log1p.f64 (fabs.f64 x))) |
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
Compiled 9 349 to 1 067 computations (88.6% saved)
9 alts after pruning (4 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 240 | 1 | 241 |
| Fresh | 0 | 3 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 0 | 0 |
| Total | 240 | 9 | 249 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 25.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| ✓ | 28.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
| ▶ | 26.8% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
| ✓ | 28.7% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
| ▶ | 27.3% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
| ✓ | 51.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
| ✓ | 64.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | 9.3% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
| ▶ | 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
Compiled 178 to 125 computations (29.8% saved)
| 1× | egg-herbie |
Found 16 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)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) | |
| cost-diff | 0 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) | |
| cost-diff | 0 | (+.f64 (fabs.f64 x) x) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) | |
| cost-diff | 0 | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 296 |
| 0 | 61 | 296 |
| 1 | 83 | 296 |
| 2 | 103 | 296 |
| 3 | 114 | 296 |
| 4 | 126 | 296 |
| 5 | 186 | 296 |
| 6 | 233 | 296 |
| 7 | 386 | 296 |
| 8 | 918 | 296 |
| 9 | 1297 | 296 |
| 10 | 1658 | 296 |
| 11 | 1968 | 296 |
| 12 | 2049 | 296 |
| 13 | 2124 | 296 |
| 14 | 2160 | 296 |
| 15 | 2172 | 296 |
| 0 | 2172 | 287 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
#s(literal 1 binary64) |
(fabs.f64 x) |
x |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(fabs.f64 x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(copysign.f64 (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)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (-.f64 (fabs.f64 x) #s(literal -1 binary64))) |
#s(literal 1/2 binary64) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(-.f64 (fabs.f64 x) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(fabs.f64 x) |
x |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(fabs.f64 x) |
x |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(copysign.f64 (log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(log.f64 (+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(+.f64 #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x)) |
(fabs.f64 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(copysign.f64 (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 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 0.0078125 | (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) | |
| accuracy | 17.119539607499604 | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) | |
| accuracy | 18.469378235637596 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 0.0078125 | (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) | |
| accuracy | 17.119539607499604 | (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) | |
| accuracy | 34.696263294168645 | #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) | |
| accuracy | 0.0 | (+.f64 (fabs.f64 x) x) | |
| accuracy | 0.0 | (fabs.f64 x) | |
| accuracy | 17.119539607499604 | (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) | |
| accuracy | 34.454668214775694 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) | |
| accuracy | 0.01171875 | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) | |
| accuracy | 0.078125 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) | |
| accuracy | 18.514045119877064 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) | |
| accuracy | 31.016165874060313 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
| 38.0ms | 135× | 0 | valid |
| 28.0ms | 31× | 2 | valid |
| 21.0ms | 40× | 1 | valid |
| 15.0ms | 50× | 1 | exit |
Compiled 511 to 71 computations (86.1% saved)
ival-log: 24.0ms (28.7% of total)ival-add: 11.0ms (13.2% of total)ival-mult: 11.0ms (13.2% of total)adjust: 9.0ms (10.8% of total)ival-hypot: 8.0ms (9.6% of total)ival-div: 5.0ms (6% of total)ival-copysign: 5.0ms (6% of total)ival-log1p: 5.0ms (6% of total)ival-fabs: 3.0ms (3.6% of total)ival-sub: 1.0ms (1.2% 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)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(fabs.f64 x) |
(copysign.f64 (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))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fabs x) |
(+ x (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))))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(/ 1/2 (+ 1 (fabs x))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1))) |
| 4.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1))) |
| 3.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (+ 1 (fabs x))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (+ (sqrt (+ (* x x) 1)) (fabs x)) (sqrt (+ (* x x) 1)) (* (/ 1/2 (+ 1 (fabs x))) x) (/ 1/2 (+ 1 (fabs x))) (sqrt (+ (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 621 |
| 1 | 505 | 593 |
| 2 | 1573 | 584 |
| 3 | 5442 | 532 |
| 0 | 8273 | 493 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fabs x) |
(+ x (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))))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(/ 1/2 (+ 1 (fabs x))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -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 |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (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 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (log1p.f64 (fabs.f64 x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f64 (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) |
(+ x (fabs x)) |
(+.f64 (fabs.f64 x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64)) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* -1 (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)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) x (*.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(+.f64 (fabs.f64 x) x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x)) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) x))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f64 (fabs.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(-.f64 (-.f64 (fabs.f64 x) (/.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 (- (* -1 (/ (fabs x) x)) 1))) |
(+.f64 (fabs.f64 x) x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 266 |
| 0 | 61 | 266 |
| 1 | 200 | 266 |
| 2 | 1413 | 254 |
| 0 | 8422 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x)) |
(+.f64 (fabs.f64 x) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) |
(+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(fabs.f64 x) |
(copysign.f64 (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))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x)))) |
(*.f64 (/.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 (fabs.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) 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) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #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))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (neg.f64 x) #s(literal 2 binary64))) |
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 x x) #s(literal 2 binary64))) |
(*.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))) (/.f64 x (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 x #s(literal 2 binary64))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(*.f64 x (*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x)) |
(pow.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(/.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) |
(/.f64 x (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) 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)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) (fabs.f64 x))) x) |
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(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) x))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(/.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(/.f64 (neg.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 (fabs.f64 x) #s(literal 1 binary64)) (*.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 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) |
(/.f64 x (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64)))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (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)) #s(literal -2 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
#s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
Compiled 12 727 to 1 647 computations (87.1% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 330 | 6 | 336 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 5 | 5 |
| Total | 330 | 15 | 345 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 25.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| ✓ | 28.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
| ✓ | 26.8% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
| ✓ | 28.7% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
| ✓ | 27.3% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
| ✓ | 51.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
| ✓ | 64.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | 9.3% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
| ▶ | 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
| 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x) | |
| ▶ | 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
| ▶ | 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
| ▶ | 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
| ✓ | 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
| ▶ | 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
Compiled 676 to 449 computations (33.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) | |
| cost-diff | 512 | (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) | |
| cost-diff | 128 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) | |
| cost-diff | 0 | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) | |
| cost-diff | 512 | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 734 |
| 0 | 80 | 726 |
| 1 | 128 | 726 |
| 2 | 232 | 726 |
| 3 | 511 | 726 |
| 4 | 1278 | 726 |
| 5 | 3351 | 726 |
| 6 | 6984 | 726 |
| 0 | 8191 | 632 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
x |
#s(literal 1 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
#s(literal 1/2 binary64) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
x |
#s(literal 1 binary64) |
(*.f64 x x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
#s(literal 1 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
#s(literal 1 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(-.f64 #s(literal -1 binary64) (fabs.f64 x)) |
#s(literal -1 binary64) |
(fabs.f64 x) |
x |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x) |
(*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) x) |
(+.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 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x) |
(/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/2 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
#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) |
(*.f64 x x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
(/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) |
(/.f64 (-.f64 (fabs.f64 x) #s(literal -1 binary64)) x) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(-.f64 (fabs.f64 x) #s(literal -1 binary64)) |
(fabs.f64 x) |
#s(literal 1 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x) |
(*.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) x) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) |
#s(literal 1/2 binary64) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(-.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs.f64 x) |
#s(literal 1 binary64) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 x (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64))) x) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) x) x) |
(-.f64 #s(literal -1 binary64) (fabs.f64 x)) |
#s(literal -1 binary64) |
(fabs.f64 x) |
x |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.44091379341100023 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) | |
| accuracy | 18.62924795620654 | (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) | |
| accuracy | 29.923294569480525 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) | |
| accuracy | 31.240992707040768 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) | |
| accuracy | 0.24834319904649932 | (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) | |
| accuracy | 18.234135381197365 | (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) | |
| accuracy | 29.923294569480525 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) | |
| accuracy | 31.240992707040768 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) | |
| accuracy | 0.0078125 | (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) | |
| accuracy | 0.1015625 | (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) | |
| accuracy | 29.923294569480525 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) | |
| accuracy | 31.240992707040768 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) | |
| accuracy | 0.015625 | (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) | |
| accuracy | 18.55406761443523 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) | |
| accuracy | 29.923294569480525 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) | |
| accuracy | 31.240992707040768 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x) | |
| accuracy | 0.12109375 | (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) | |
| accuracy | 29.923294569480525 | #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x)) | |
| accuracy | 31.240992707040768 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) |
| 99.0ms | 135× | 0 | valid |
| 73.0ms | 52× | 2 | valid |
| 42.0ms | 69× | 1 | valid |
Compiled 1 119 to 90 computations (92% saved)
ival-fabs: 46.0ms (32.5% of total)ival-add: 24.0ms (16.9% of total)ival-log: 18.0ms (12.7% of total)ival-mult: 13.0ms (9.2% of total)ival-div: 12.0ms (8.5% of total)ival-hypot: 9.0ms (6.4% of total)adjust: 8.0ms (5.6% of total)ival-copysign: 3.0ms (2.1% of total)ival-log1p: 3.0ms (2.1% of total)ival-sub: 2.0ms (1.4% 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 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.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))) (*.f64 x x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.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 (fabs.f64 x) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| Outputs |
|---|
(* 1/2 (/ x (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* -1/2 (- (fabs x) 1)) |
(+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x))))) |
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))) |
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ (+ 1 (fabs x)) x) |
-1/2 |
(- (* -1/2 (pow x 2)) 1/2) |
(- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)) 1/2) |
(* 2 (/ (+ 1 (fabs x)) (pow x 2))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ (- (fabs x) 1) (pow x 2))) |
(/ (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) (pow x 2)) |
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) (pow x 2)) |
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))) (pow x 2)) |
(* -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))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | ((/ 1/2 (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) (* x x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ (* 1/2 x) (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ 1 (/ (- -1 (fabs x)) (* -1/2 (* x x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (/ (+ (fabs x) 1) x)) x) (/ 1/2 (+ (fabs x) 1)) (/ (+ (fabs x) 1) x) (/ 1/2 (+ (* x x) -1)) (/ (- -1 (fabs x)) (* -1/2 (* x x)))) |
| 4.0ms | x | @ | -inf | ((/ 1/2 (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) (* x x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ (* 1/2 x) (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ 1 (/ (- -1 (fabs x)) (* -1/2 (* x x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (/ (+ (fabs x) 1) x)) x) (/ 1/2 (+ (fabs x) 1)) (/ (+ (fabs x) 1) x) (/ 1/2 (+ (* x x) -1)) (/ (- -1 (fabs x)) (* -1/2 (* x x)))) |
| 4.0ms | x | @ | inf | ((/ 1/2 (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (fabs x) 1)) (* x x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ (* 1/2 x) (/ (+ (fabs x) 1) x)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/ 1 (/ (- -1 (fabs x)) (* -1/2 (* x x)))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (* (/ 1/2 (/ (+ (fabs x) 1) x)) x) (/ 1/2 (+ (fabs x) 1)) (/ (+ (fabs x) 1) x) (/ 1/2 (+ (* x x) -1)) (/ (- -1 (fabs x)) (* -1/2 (* x x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 636 |
| 1 | 408 | 602 |
| 2 | 1270 | 577 |
| 3 | 4428 | 530 |
| 0 | 8085 | 493 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ x (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* -1/2 (- (fabs x) 1)) |
(+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x))))) |
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))) |
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ (+ 1 (fabs x)) x) |
-1/2 |
(- (* -1/2 (pow x 2)) 1/2) |
(- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)) 1/2) |
(* 2 (/ (+ 1 (fabs x)) (pow x 2))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ (- (fabs x) 1) (pow x 2))) |
(/ (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) (pow x 2)) |
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) (pow x 2)) |
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) (pow x 2)) |
(/ 1/2 (pow x 2)) |
(/ (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (pow x 2)) |
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))) (pow x 2)) |
(* -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))) |
| Outputs |
|---|
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(log (+ 1 (fabs x))) |
(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 (fma.f64 (*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (+.f64 (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 3 binary64))) #s(literal -1/24 binary64) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x) (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (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)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(* -1/2 (- (fabs x) 1)) |
(fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64)) |
(+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x))))) |
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) |
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) |
(+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64)))) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (+ 1 (fabs x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/2 (pow x 2)) 1/2) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 1 binary64))) |
(- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -1/2 binary64)) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)) 1/2) |
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(* 2 (/ (+ 1 (fabs x)) (pow x 2))) |
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) 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)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x (*.f64 (log1p.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(* 1/2 (/ (- (fabs x) 1) (pow x 2))) |
(/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x) |
(/ (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) (pow x 2)) |
(*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)) |
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) (pow x 2)) |
(/.f64 (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 x x)) |
(/ (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) (pow x 2)) |
(/.f64 (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 x x)) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ (+ 1/2 (* 1/2 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x) |
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 x x)) |
(/ (+ 1/2 (+ (/ 1/2 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))) (pow x 2)) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.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 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) (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 | 53 | 635 |
| 0 | 80 | 607 |
| 1 | 249 | 607 |
| 2 | 1971 | 607 |
| 0 | 8207 | 552 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.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))) (*.f64 x x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.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 (fabs.f64 x) #s(literal 1 binary64)) x) |
(/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.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 x (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (neg.f64 x)) |
(*.f64 (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x))) |
(*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(pow.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (neg.f64 (pow.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 (*.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x))) |
#s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x #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 (*.f64 x #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 (*.f64 x #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 (*.f64 #s(literal -1/2 binary64) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (neg.f64 x)) |
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) x)) x) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x)) x) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 x (-.f64 #s(literal -1 binary64) (fabs.f64 x)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))) |
(*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
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(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) x) (*.f64 #s(literal -1/2 binary64) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (/.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (pow.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 (fabs.f64 x) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (-.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) (log1p.f64 (fabs.f64 x))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (log1p.f64 (fabs.f64 x)) (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (neg.f64 (*.f64 (fabs.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 x x))))) |
Compiled 27 588 to 3 571 computations (87.1% saved)
27 alts after pruning (14 fresh and 13 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 556 | 14 | 570 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 9 | 9 |
| Total | 558 | 27 | 585 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 25.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| ✓ | 28.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
| ✓ | 26.8% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
| ✓ | 28.7% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
| ✓ | 27.3% | (copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
| ✓ | 51.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
| ✓ | 64.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | 9.3% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
| ✓ | 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
| 2.6% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x) | |
| 4.9% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) | |
| ✓ | 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x) | |
| 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x) | |
| 5.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x) | |
| ✓ | 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
| ✓ | 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
| 5.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x) | |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x) | |
| 5.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) | |
| 4.9% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x) | |
| ✓ | 6.2% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
| 6.0% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) | |
| 4.5% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) | |
| 5.5% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) | |
| 4.8% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x) | |
| 4.1% | (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x) |
Compiled 2 183 to 886 computations (59.4% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
2 calls:
| 9.0ms | x |
| 8.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | x |
| 99.7% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
2 calls:
| 18.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x) |
2 calls:
| 8.0ms | 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 |
|---|---|---|
| 98.8% | 3 | x |
| 98.8% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f64 (fabs.f64 x) 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:
| 7.0ms | x |
| 6.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | x |
| 98.8% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f64 (fabs.f64 x) 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:
| 26.0ms | (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 |
|---|---|---|
| 80.9% | 2 | x |
| 80.9% | 2 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) |
2 calls:
| 7.0ms | x |
| 6.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 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 (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x) |
2 calls:
| 16.0ms | (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 |
|---|---|---|
| 12.9% | 2 | x |
| 12.9% | 2 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x)))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 #s(approx (/ 1/2 (+ (* x x) -1)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (fabs.f64 x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64)) x) x)) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) #s(approx (/ (- -1 (fabs x)) (* -1/2 (* x x))) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (fabs.f64 x) #s(literal 2 binary64)) x) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (*.f64 #s(literal 1/2 binary64) x))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 (fabs.f64 x) #s(literal 1 binary64))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 x x #s(literal -1 binary64)))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (-.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (*.f64 (/.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (fabs.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 x x)))))) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
2 calls:
| 9.0ms | x |
| 6.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 6.2% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 6.2% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
| Outputs |
|---|
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
2 calls:
| 1.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.5% | 1 | x |
| 5.5% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0702549957380782e-12 | 15.174932302032746 |
| 0.0ms | -4.762919948841247 | -6.358294981404373e-9 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0702549957380782e-12 | 15.174932302032746 |
| 0.0ms | -4.762919948841247 | -6.358294981404373e-9 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0702549957380782e-12 | 15.174932302032746 |
| 0.0ms | -4.762919948841247 | -6.358294981404373e-9 |
Compiled 15 to 13 computations (13.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0702549957380782e-12 | 15.174932302032746 |
| 0.0ms | -4.762919948841247 | -6.358294981404373e-9 |
Compiled 15 to 13 computations (13.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0702549957380782e-12 | 15.174932302032746 |
Compiled 15 to 13 computations (13.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 1.0703632207964783e-12 | 1946970.4780933391 |
| 40.0ms | 160× | 0 | valid |
Compiled 565 to 401 computations (29% saved)
ival-log: 32.0ms (86.6% of total)ival-hypot: 2.0ms (5.4% of total)ival-copysign: 1.0ms (2.7% of total)ival-add: 1.0ms (2.7% of total)ival-fabs: 1.0ms (2.7% 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 | 88 | 550 |
| 1 | 115 | 550 |
| 2 | 164 | 550 |
| 3 | 288 | 550 |
| 4 | 521 | 550 |
| 5 | 1430 | 550 |
| 6 | 3263 | 550 |
| 7 | 7380 | 550 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 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 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 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 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 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 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 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 4951760157141521/2475880078570760549798248448 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 4951760157141521/2475880078570760549798248448 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 7926335344172073/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 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 -4 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 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (log1p.f64 (fabs.f64 x)))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 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 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 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 4951760157141521/2475880078570760549798248448 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -4 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 4951760157141521/2475880078570760549798248448 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 4951760157141521/2475880078570760549798248448 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 7926335344172073/72057594037927936 binary64)) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) (copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f64 x)) x)) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x))) x) |
(copysign.f64 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* 1/2 x) (/ x (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (*.f64 (*.f64 #s(approx (* (/ 1/2 (+ (* x x) -1)) (- (fabs x) 1)) (fma.f64 #s(literal -1/2 binary64) (fabs.f64 x) #s(literal 1/2 binary64))) x) x))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 266 |
| 0 | 61 | 266 |
| 1 | 200 | 266 |
| 2 | 1413 | 254 |
| 0 | 8422 | 245 |
| 0 | 158 | 636 |
| 1 | 408 | 602 |
| 2 | 1270 | 577 |
| 3 | 4428 | 530 |
| 0 | 8085 | 493 |
| 0 | 169 | 586 |
| 1 | 490 | 558 |
| 2 | 1525 | 545 |
| 3 | 5471 | 495 |
| 0 | 8548 | 457 |
| 0 | 177 | 619 |
| 1 | 501 | 590 |
| 2 | 1540 | 582 |
| 3 | 5368 | 530 |
| 0 | 8468 | 491 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 740 to 229 computations (69.1% saved)
Compiled 1 164 to 218 computations (81.3% saved)
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