
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 0 |
| 100% | 99.6% | 0% | 0.4% | 0% | 0% | 0% | 1 |
Compiled 4 to 4 computations (0% saved)
| 447.0ms | 8 256× | 0 | valid |
ival-asinh: 196.0ms (95.9% of total)ival-true: 5.0ms (2.4% of total)ival-assert: 3.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 114 | 0 | - | 0 | - | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 67 | 0 | - | 0 | - | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 0 | 0 | - | 0 | - | (*.f32 x x) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 x x) #s(literal 1 binary32)) |
| 0 | 0 | - | 0 | - | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (fabs.f32 x) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 111 | 1 |
sqrt.f32 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 67 | 0 |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 67 | |
| ↳ | (*.f32 x x) | overflow | 67 | |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 3 | 0 |
| ↳ | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 3 | |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 67 | |
| ↳ | (*.f32 x x) | overflow | 67 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 178 | 1 |
| - | 0 | 77 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 178 | 0 | 1 |
| - | 0 | 1 | 76 |
| number | freq |
|---|---|
| 0 | 78 |
| 1 | 175 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 95.0ms | 174× | 1 | valid |
| 81.0ms | 338× | 0 | valid |
Compiled 115 to 31 computations (73% saved)
ival-hypot: 43.0ms (44.6% of total)ival-mult: 26.0ms (26.9% of total)ival-log: 11.0ms (11.4% of total)ival-add: 6.0ms (6.2% of total)ival-copysign: 5.0ms (5.2% of total)adjust: 3.0ms (3.1% of total)ival-fabs: 3.0ms (3.1% 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 |
| 12× | sub-neg |
| 8× | lower-+.f64 |
| 8× | +-commutative |
| 4× | lift-+.f32 |
| 4× | lower-+.f32 |
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.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
Compiled 13 to 9 computations (30.8% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 40.1% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) | |
| cost-diff | 64 | (+.f32 (*.f32 x x) #s(literal 1 binary32)) |
| 8× | lower-+.f64 |
| 4× | lift-+.f32 |
| 4× | lower-+.f32 |
| 4× | +-commutative |
| 2× | lower-sqrt.f64 |
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.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 x x #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fabs.f32 x) | |
| accuracy | 0.0234375 | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| accuracy | 7.122444087939172 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | |
| accuracy | 11.688557191145325 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 82.0ms | 169× | 0 | valid |
| 15.0ms | 87× | 1 | valid |
Compiled 51 to 11 computations (78.4% saved)
ival-hypot: 74.0ms (82.9% of total)ival-log: 5.0ms (5.6% of total)ival-add: 3.0ms (3.4% of total)adjust: 2.0ms (2.2% of total)ival-copysign: 2.0ms (2.2% of total)ival-mult: 1.0ms (1.1% of total)ival-fabs: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (+.f32 (*.f32 x x) #s(literal 1 binary32)) (patch (+.f32 (*.f32 x x) #s(literal 1 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #<representation binary32>) () ())) ()) |
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (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))))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (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))))))) (taylor 0 x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -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)))) (taylor inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -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))) (taylor -inf x) (#s(alt (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) (patch (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (/ (fabs x) x))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) (patch (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor 0 x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
#s(alt (fabs x) (taylor -inf x) (#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ())) ()) |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
| 0.0ms | x | @ | inf | (log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
| 0.0ms | x | @ | inf | (+ (fabs x) (sqrt (+ (* x x) 1))) |
| 0.0ms | x | @ | inf | (+ (* x x) 1) |
| 0.0ms | x | @ | -inf | (log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
| 1× | egg-herbie |
| 24 610× | lower-fma.f64 |
| 24 610× | lower-fma.f32 |
| 4 994× | lower-*.f64 |
| 4 994× | lower-*.f32 |
| 4 040× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 782 |
| 1 | 490 | 754 |
| 2 | 1511 | 741 |
| 3 | 5413 | 691 |
| 0 | 8421 | 635 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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 (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)))))) |
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) |
(* -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 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 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.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 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)))) |
(+.f32 (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (log.f32 x)) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 x x))) (/.f32 (fabs.f32 x) x))) |
(* -1 (log (/ -1 x))) |
(neg.f32 (neg.f32 (log.f32 (neg.f32 x)))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x)))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) #s(literal 1/2 binary32)) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 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))) |
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 x (*.f32 x #s(literal -1/2 binary32)) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal -1/6 binary32) x) #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (neg.f32 (log.f32 (neg.f32 x)))) |
(+ 1 (fabs x)) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(+.f32 x (fabs.f32 x)) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(+.f32 (fabs.f32 x) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(+.f32 (fma.f32 x (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x)) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f32 (fabs.f32 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(+.f32 (-.f32 (fabs.f32 x) x) (/.f32 #s(literal -1/2 binary32) x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f32 x (/.f32 #s(literal 1/2 binary32) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 x (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+.f32 x (+.f32 (/.f32 #s(literal 1/2 binary32) x) (*.f32 x (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))))))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(fma.f32 x (/.f32 #s(literal 1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x)))) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(+.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (*.f32 (neg.f32 x) (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
| 5 872× | lower-fma.f64 |
| 5 872× | lower-fma.f32 |
| 3 070× | lower-*.f64 |
| 3 068× | lower-*.f32 |
| 2 316× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 0 | 16 | 44 |
| 1 | 51 | 44 |
| 2 | 324 | 44 |
| 3 | 3419 | 44 |
| 0 | 8352 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(fabs.f32 x) |
| Outputs |
|---|
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(hypot.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(hypot.f32 (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(hypot.f32 (*.f32 x (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(hypot.f32 (*.f32 (neg.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(neg.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) |
(exp.f32 (log1p.f32 (*.f32 x x))) |
(exp.f32 (*.f32 (neg.f32 (log1p.f32 (*.f32 x x))) #s(literal -1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 x x)) |
(+.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fabs.f32 (fma.f32 x x #s(literal 1 binary32))) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 4 binary32)) |
(pow.f32 (*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/4 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x)))) |
(pow.f32 (exp.f32 #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x)))) |
(pow.f32 (exp.f32 #s(literal 1 binary32)) (log1p.f32 (*.f32 x x))) |
(fma.f32 x x #s(literal 1 binary32)) |
(fma.f32 x (/.f32 (*.f32 x (*.f32 x x)) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (*.f32 x x) (/.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 x (*.f32 x x)) (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (*.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 #s(literal -1 binary32) (*.f32 x (neg.f32 x)) #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 (fabs.f32 x)) (fabs.f32 (fabs.f32 x)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 x (+.f32 x #s(literal 1 binary32))) (/.f32 (*.f32 x (*.f32 x x)) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (/.f32 (*.f32 x x) (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) (/.f32 x (+.f32 x #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 x)) (neg.f32 x) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (neg.f32 x) #s(literal -1 binary32)) x #s(literal 1 binary32)) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (fma.f32 x (fma.f32 x (*.f32 x x) x) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) |
(fma.f32 (exp.f32 (log.f32 (neg.f32 x))) (exp.f32 (log.f32 (neg.f32 x))) #s(literal 1 binary32)) |
(-.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (*.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))) (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal -1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))) |
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(*.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (neg.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))) |
(*.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
(*.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32)))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))) (fma.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) |
(*.f32 (/.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 x (*.f32 x (*.f32 x x)) (neg.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))) (fma.f32 x x (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))) |
(*.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (-.f32 (*.f32 x (*.f32 x x)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (fma.f32 x x (fma.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))))) |
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x)))) |
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log1p.f32 (*.f32 x x))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/4 binary32)) #s(literal 2 binary32))) |
(exp.f32 (-.f32 (log1p.f32 (*.f32 x x)) (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 x x))))) |
(fabs.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) |
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/4 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))) #s(literal -1/2 binary32)) |
(pow.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/8 binary32)) |
(pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log1p.f32 (*.f32 x x))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))) |
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32)))) (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (*.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))))))) |
(/.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (fma.f32 x x #s(literal -1 binary32)))))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (sqrt.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x)) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))))) |
(*.f32 (sqrt.f32 (fma.f32 x (*.f32 x (*.f32 x x)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(*.f32 (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (sqrt.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(exp.f32 (log.f32 (fabs.f32 x))) |
(exp.f32 (*.f32 (log.f32 (fabs.f32 x)) #s(literal 1 binary32))) |
(fabs.f32 x) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 (-.f32 x #s(literal 0 binary32))) |
(pow.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (fabs.f32 x)) |
Compiled 10 321 to 1 601 computations (84.5% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 329 | 20 | 349 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 330 | 20 | 350 |
| Status | Accuracy | Program |
|---|---|---|
| 15.0% | (copysign.f32 (-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x) | |
| 14.3% | (copysign.f32 (+.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x) | |
| ▶ | 40.1% | (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) |
| 15.8% | (copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x) | |
| 15.0% | (copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) | |
| ▶ | 40.1% | (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
| 29.7% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) | |
| 30.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) | |
| 32.6% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) | |
| 30.6% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) | |
| 31.8% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) | |
| 19.7% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) | |
| 48.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x) | |
| 50.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) | |
| 49.9% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) | |
| 15.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x) | |
| 15.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x) | |
| ▶ | 15.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
| ▶ | 66.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
| ▶ | 14.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
Compiled 738 to 402 computations (45.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) | |
| cost-diff | 128 | (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) | |
| cost-diff | 288 | (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) | |
| cost-diff | 352 | (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) | |
| cost-diff | 0 | (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) | |
| cost-diff | 0 | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) | |
| cost-diff | 0 | (log.f32 x) | |
| cost-diff | 0 | (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) | |
| cost-diff | 0 | (log.f32 x) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) | |
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (log1p.f32 (fabs.f32 x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
| 46× | lower-*.f64 |
| 46× | lower-*.f32 |
| 38× | lower-fma.f64 |
| 36× | lower-fma.f32 |
| 24× | lower-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 242 |
| 0 | 49 | 228 |
| 1 | 64 | 227 |
| 2 | 80 | 227 |
| 3 | 88 | 227 |
| 4 | 110 | 227 |
| 5 | 122 | 227 |
| 6 | 125 | 227 |
| 0 | 125 | 227 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(log.f32 x) |
x |
(/.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(fma.f32 x x #s(literal 1 binary32)) |
x |
#s(literal 1 binary32) |
(fabs.f32 x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) |
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) |
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
#s(literal 1 binary32) |
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(fma.f32 x x #s(literal 1 binary32)) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(log.f32 x) |
x |
(/.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) |
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(fma.f32 x x #s(literal 1 binary32)) |
x |
#s(literal 1 binary32) |
(fabs.f32 x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) |
(neg.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
#s(literal 1 binary32) |
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(fma.f32 x x #s(literal 1 binary32)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) | |
| accuracy | 0.11455843502498324 | (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) | |
| accuracy | 3.5343226394627454 | (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) | |
| accuracy | 5.857056527197349 | (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) | |
| accuracy | 0 | (fabs.f32 x) | |
| accuracy | 0.015625 | (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) | |
| accuracy | 3.5343226394627454 | (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) | |
| accuracy | 6.020921323402451 | (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) | |
| accuracy | 0 | (log.f32 x) | |
| accuracy | 0 | (fabs.f32 x) | |
| accuracy | 0.01171875 | (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) | |
| accuracy | 11.842812556354628 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) | |
| accuracy | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) | |
| accuracy | 0 | (log.f32 x) | |
| accuracy | 12.168637985789239 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) | |
| accuracy | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) | |
| accuracy | 0 | (fabs.f32 x) | |
| accuracy | 0.00390625 | (log1p.f32 (fabs.f32 x)) | |
| accuracy | 5.3747618424485735 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
| 47.0ms | 46× | 1 | valid |
| 25.0ms | 125× | 0 | invalid |
| 16.0ms | 85× | 0 | valid |
Compiled 235 to 23 computations (90.2% saved)
ival-log: 14.0ms (30.4% of total)ival-hypot: 6.0ms (13% of total)ival-copysign: 6.0ms (13% of total)ival-add: 6.0ms (13% of total)ival-div: 5.0ms (10.8% of total)adjust: 2.0ms (4.3% of total)ival-mult: 2.0ms (4.3% of total)ival-fabs: 2.0ms (4.3% of total)ival-log1p: 2.0ms (4.3% of total)ival-neg: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ()) |
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ()) |
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) #<representation binary32>) () ()) |
#s(alt (log.f32 x) (patch (log.f32 x) #<representation binary32>) () ()) |
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) #<representation binary32>) () ()) |
#s(alt (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) (patch (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) #<representation binary32>) () ()) |
#s(alt (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) (patch (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation binary32>) () ()) |
#s(alt (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ()) |
#s(alt (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (patch (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (patch (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) (patch (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) (patch (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor inf x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) (taylor -inf x) (#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) #<representation binary32>) () ())) ()) |
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (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))))))) (taylor 0 x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) (taylor inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (taylor inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -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)))) (taylor inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) (taylor -inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -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))) (taylor -inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ()) |
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#s(alt (log (+ 1 (fabs x))) (taylor inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ()) |
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#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x))) (taylor -inf x) (#s(alt (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) (patch (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
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#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor inf x) (#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor inf x) (#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) #<representation binary32>) () ())) ()) |
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#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor inf x) (#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor -inf x) (#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor -inf x) (#s(alt (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) (patch (copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) #<representation binary32>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
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#s(alt (/ (+ 1 (* -1 (/ (fabs x) x))) x) (taylor inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x)) (taylor -inf x) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (patch (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
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#s(alt (+ 1 (fabs x)) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
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#s(alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) (taylor 0 x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
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#s(alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
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#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) (taylor -inf x) (#s(alt (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (patch (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | x | @ | 0 | (log (+ 1 (fabs x))) |
| 21.0ms | x | @ | inf | (log x) |
| 20.0ms | x | @ | inf | (log (+ 1 (fabs x))) |
| 17.0ms | x | @ | -inf | (log (+ 1 (fabs x))) |
| 14.0ms | x | @ | -inf | (log x) |
| 1× | egg-herbie |
| 15 482× | lower-fma.f64 |
| 15 482× | lower-fma.f32 |
| 5 124× | lower-+.f64 |
| 5 124× | lower-+.f32 |
| 4 322× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 353 | 4054 |
| 1 | 1082 | 3798 |
| 2 | 3609 | 3613 |
| 0 | 8505 | 3345 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(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 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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 x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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))) |
(/ (fabs x) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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 (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)))))) |
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) |
(* -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 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(/ 1 (+ 1 (fabs x))) |
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x)))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (fabs x) x))) x) |
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ (fabs x) x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x)) |
(log (/ 1 (+ 1 (fabs x)))) |
(+ (log (/ 1 (+ 1 (fabs x)))) (* -1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (/ 1 (+ 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(log (/ 1 x)) |
(+ (log (/ 1 x)) (* -1 (/ (fabs x) x))) |
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))))) |
(+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(log (/ -1 x)) |
(+ (log (/ -1 x)) (/ (fabs x) x)) |
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (log (/ -1 x)) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x))))) |
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x))))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 x))) |
(- (/ (fabs x) x) (log (/ 1 x))) |
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))) |
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (/ (fabs x) x)) (log (/ -1 x))) |
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x))) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(/ 1 (+ 1 (fabs x))) |
(+ (* -1/2 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (/ 1 (+ 1 (fabs x)))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (+ 1 (fabs x)) 2))))) (/ 1 (+ 1 (fabs x)))) |
(/ 1 x) |
(/ (+ 1 (* -1 (/ (fabs x) x))) x) |
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (/ (fabs x) x)) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) 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)))))) |
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) |
(* -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))))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 30 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 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)))) |
(fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (*.f32 x (*.f32 x x))) (/.f32 (fabs.f32 x) x)))) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) x) (fabs.f32 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))) |
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) x) (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) x)) x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 30 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 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)))) |
(fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (*.f32 x (*.f32 x x))) (/.f32 (fabs.f32 x) x)))) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) x) (fabs.f32 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))) |
(-.f32 (neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) x) (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) x)) x)) |
(log x) |
(log.f32 x) |
(log x) |
(log.f32 x) |
(log x) |
(log.f32 x) |
(log x) |
(log.f32 x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 30 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))))) (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal -1/8 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x))) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 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)))) |
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x |
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1 |
#s(literal 1 binary32) |
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x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
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(/ 1 x) |
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(/ (+ 1 (* -1 (/ (fabs x) x))) x) |
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(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x) |
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(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x) |
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(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)) x) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x)) |
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(log (/ 1 (+ 1 (fabs x)))) |
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(/.f32 #s(literal 1 binary32) x) |
(/ (+ 1 (* -1 (/ (fabs x) x))) x) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) x) |
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (/ (fabs x) x)) x) |
(/.f32 (-.f32 #s(literal 2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) x) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x))) (pow x 3)))) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) x) |
(/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) (/.f32 (*.f32 (fabs.f32 x) (+.f32 (fma.f32 x x #s(literal -1/2 binary32)) #s(literal -1/2 binary32))) (*.f32 x (*.f32 x x)))) x) |
(/ -1 x) |
(/.f32 #s(literal -1 binary32) x) |
(* -1 (/ (+ 1 (/ (fabs x) x)) x)) |
(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (fabs x)) x))) x)) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fabs.f32 x) (/.f32 (fma.f32 x x #s(literal -1/2 binary32)) x)) x)) (neg.f32 x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1/2 (/ (fabs x) x))) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (fabs x)) x))) x)) |
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (fabs.f32 x) x) (-.f32 #s(literal -1/2 binary32) (fma.f32 x (neg.f32 x) #s(literal 1/2 binary32))) (fma.f32 x x #s(literal -1/2 binary32))) x) (fabs.f32 x)) x)) (neg.f32 x)) |
(+ 1 (fabs x)) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal -1/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x #s(literal 1/16 binary32)) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 x (/.f32 (fabs.f32 x) x) x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(+.f32 x (*.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))))))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(fma.f32 x (/.f32 (fabs.f32 x) x) (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f32 x (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f32 x (/.f32 (+.f32 (fabs.f32 x) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) (neg.f32 x)) |
| 4 216× | lower-fma.f64 |
| 4 214× | lower-fma.f32 |
| 3 030× | lower-*.f64 |
| 3 030× | lower-*.f32 |
| 3 014× | lower-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 210 |
| 0 | 49 | 196 |
| 1 | 148 | 195 |
| 2 | 927 | 186 |
| 0 | 9192 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) |
(log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) |
(neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) |
(/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(log1p.f32 (neg.f32 (fabs.f32 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(+.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))) |
(+.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (neg.f32 (log1p.f32 (fma.f32 x x (fabs.f32 x))))) |
(+.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(+.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (neg.f32 (log1p.f32 (fabs.f32 x)))) |
(-.f32 #s(literal 0 binary32) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(-.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (fma.f32 x x (fabs.f32 x)))) |
(-.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log.f32 (fma.f32 x x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(-.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (fabs.f32 x))) |
(-.f32 (log.f32 (fma.f32 x x #s(literal -1 binary32))) (log.f32 (+.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(-.f32 (log.f32 (fma.f32 x (*.f32 x x) #s(literal -1 binary32))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))))) |
(-.f32 (log.f32 (+.f32 #s(literal -1 binary32) (*.f32 x x))) (log.f32 (+.f32 #s(literal -1 binary32) (fabs.f32 x)))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 x (*.f32 x x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fma.f32 x x (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (*.f32 x (*.f32 x x))) (fma.f32 (log1p.f32 (fma.f32 x x (fabs.f32 x))) (log1p.f32 (fma.f32 x x (fabs.f32 x))) (*.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (fma.f32 x x (fabs.f32 x))))))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (*.f32 x (neg.f32 x))) #s(literal 3 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (*.f32 x (neg.f32 x))) (fma.f32 (log1p.f32 (fabs.f32 x)) (log1p.f32 (fabs.f32 x)) (*.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (fabs.f32 x)))))) |
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (*.f32 x (*.f32 x x)))) (*.f32 (log1p.f32 (fma.f32 x x (fabs.f32 x))) (log1p.f32 (fma.f32 x x (fabs.f32 x))))) (+.f32 (log1p.f32 (*.f32 x (*.f32 x x))) (log1p.f32 (fma.f32 x x (fabs.f32 x))))) |
(/.f32 (-.f32 (*.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (*.f32 x (neg.f32 x)))) (*.f32 (log1p.f32 (fabs.f32 x)) (log1p.f32 (fabs.f32 x)))) (+.f32 (log1p.f32 (*.f32 x (neg.f32 x))) (log1p.f32 (fabs.f32 x)))) |
(log.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(neg.f32 (neg.f32 (fabs.f32 x))) |
(fabs.f32 x) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 (-.f32 x #s(literal 0 binary32))) |
(-.f32 #s(literal 0 binary32) (neg.f32 (fabs.f32 x))) |
(/.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(*.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(*.f32 #s(literal -1 binary32) (neg.f32 (fabs.f32 x))) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(neg.f32 (neg.f32 (log.f32 x))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (log.f32 x))) |
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 (log.f32 x) (fabs.f32 x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))))) |
(/.f32 (log.f32 x) #s(literal 1 binary32)) |
(/.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32)) |
(/.f32 (*.f32 (log.f32 x) (fabs.f32 x)) x) |
(/.f32 (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))) (neg.f32 x)) |
(/.f32 (*.f32 (*.f32 x x) (log.f32 x)) (*.f32 x x)) |
(/.f32 (*.f32 (*.f32 x x) (*.f32 (log.f32 x) (fabs.f32 x))) (*.f32 x (*.f32 x x))) |
(/.f32 (*.f32 (*.f32 x x) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) (*.f32 x (*.f32 x x))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 x) (fabs.f32 x))) x) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) (neg.f32 x)) |
(/.f32 (*.f32 (*.f32 x (neg.f32 x)) (log.f32 x)) (*.f32 x (neg.f32 x))) |
(/.f32 (*.f32 (*.f32 x (neg.f32 x)) (*.f32 (log.f32 x) (fabs.f32 x))) (*.f32 (*.f32 x (neg.f32 x)) x)) |
(/.f32 (*.f32 (*.f32 x (neg.f32 x)) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) (*.f32 (*.f32 x (neg.f32 x)) (neg.f32 x))) |
(/.f32 (*.f32 (fabs.f32 x) (log.f32 x)) x) |
(/.f32 (*.f32 (fabs.f32 x) (*.f32 (log.f32 x) (fabs.f32 x))) (*.f32 x x)) |
(/.f32 (*.f32 (fabs.f32 x) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) (*.f32 x (neg.f32 x))) |
(/.f32 (*.f32 (neg.f32 (fabs.f32 x)) (*.f32 (log.f32 x) (fabs.f32 x))) (*.f32 x (neg.f32 x))) |
(/.f32 (*.f32 (neg.f32 (fabs.f32 x)) (log.f32 x)) (neg.f32 x)) |
(/.f32 (*.f32 (neg.f32 (fabs.f32 x)) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) (*.f32 x x)) |
(/.f32 (neg.f32 (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x)))) x) |
(*.f32 #s(literal 1 binary32) (log.f32 x)) |
(*.f32 (log.f32 x) #s(literal 1 binary32)) |
(*.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32)) |
(*.f32 (*.f32 (log.f32 x) (fabs.f32 x)) (/.f32 #s(literal 1 binary32) x)) |
(*.f32 (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))) (/.f32 #s(literal -1 binary32) x)) |
(*.f32 (/.f32 (log.f32 x) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(log.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 #s(literal 1 binary32) (log.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 #s(literal 1 binary32) (log.f32 x))) |
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 x)))))) |
(neg.f32 (/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32)) (neg.f32 (+.f32 (log.f32 x) #s(literal -1 binary32))))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 x))))) |
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))) (+.f32 (log.f32 x) #s(literal -1 binary32)))) |
(+.f32 #s(literal 1 binary32) (log.f32 x)) |
(+.f32 (log.f32 x) #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) #s(literal -1 binary32))))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (log.f32 x))) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (log.f32 x) #s(literal 1 binary32)) |
(fma.f32 (log.f32 x) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) #s(literal -1 binary32))))) |
(fma.f32 (neg.f32 (log.f32 x)) #s(literal -1 binary32) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (log.f32 x) (fabs.f32 x)) (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))) (/.f32 #s(literal -1 binary32) x) #s(literal 1 binary32)) |
(fma.f32 (/.f32 (log.f32 x) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1 binary32)) |
(-.f32 (log.f32 x) #s(literal -1 binary32)) |
(-.f32 (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (+.f32 (log.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (log.f32 x) #s(literal -1 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (log.f32 x))) (/.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (log.f32 x)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (log.f32 x))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 x))) (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (log.f32 x)) (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 2 binary32))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (log.f32 x)) #s(literal 1 binary32)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (log.f32 x))))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 x)))) |
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 x)))) |
(/.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32)) (+.f32 (log.f32 x) #s(literal -1 binary32))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (log.f32 x))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) (log.f32 x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (log.f32 x) #s(literal 2 binary32)) #s(literal -1 binary32))) (neg.f32 (+.f32 (log.f32 x) #s(literal -1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (log.f32 x) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (log.f32 x))) |
(/.f32 (fma.f32 x x (*.f32 (*.f32 x x) (log.f32 x))) (*.f32 x x)) |
(/.f32 (fma.f32 x (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (log.f32 x) (fabs.f32 x)))) (*.f32 x (*.f32 x x))) |
(/.f32 (fma.f32 x (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))))) (*.f32 x (*.f32 x x))) |
(/.f32 (+.f32 x (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 x) (fabs.f32 x)))) x) |
(/.f32 (+.f32 (neg.f32 x) (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 x) (neg.f32 (fabs.f32 x))))) (neg.f32 x)) |
(/.f32 (fma.f32 (*.f32 x (neg.f32 x)) x (*.f32 (*.f32 x (neg.f32 x)) (*.f32 (log.f32 x) (fabs.f32 x)))) (*.f32 (*.f32 x (neg.f32 x)) x)) |
(/.f32 (fma.f32 x (neg.f32 x) (*.f32 (*.f32 x (neg.f32 x)) (log.f32 x))) (*.f32 x (neg.f32 x))) |
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(/.f32 (neg.f32 (+.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (*.f32 x x))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(/.f32 (neg.f32 (+.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (*.f32 x x))) (neg.f32 (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (*.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 3 binary32))) (fma.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (fma.f32 (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))))) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (+.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(/.f32 (-.f32 (*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (*.f32 (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) (+.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) |
(*.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) |
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
(*.f32 #s(literal -1 binary32) (-.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 #s(literal -1 binary32) (pow.f32 (-.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) |
(*.f32 (-.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) |
(*.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
(*.f32 (neg.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))))) |
(*.f32 (neg.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(*.f32 (+.f32 (fma.f32 x (neg.f32 x) #s(literal -1 binary32)) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fabs.f32 x)))) |
(*.f32 (pow.f32 (-.f32 (neg.f32 (fabs.f32 x)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(*.f32 (pow.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal -1 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
(*.f32 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 1 binary32)) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) |
(*.f32 (/.f32 (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) #s(literal 1 binary32)) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) |
(*.f32 (/.f32 (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal -1/2 binary32))) |
Compiled 28 581 to 3 456 computations (87.9% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 062 | 9 | 1 071 |
| Fresh | 6 | 9 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 070 | 21 | 1 091 |
| Status | Accuracy | Program |
|---|---|---|
| 14.2% | (copysign.f32 (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x) | |
| 14.4% | (copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x) | |
| 40.1% | (copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x) | |
| ▶ | 15.0% | (copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
| ✓ | 40.1% | (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
| ▶ | 29.7% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
| 30.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) | |
| 32.6% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) | |
| 19.7% | (copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) | |
| ▶ | 30.6% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
| 31.8% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) | |
| ▶ | 51.1% | (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
| 15.2% | (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x) | |
| 48.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x) | |
| 49.9% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) | |
| 15.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x) | |
| 15.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) | |
| 42.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) | |
| ✓ | 66.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
| ✓ | 14.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
| ▶ | 16.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
Compiled 689 to 369 computations (46.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) | |
| cost-diff | 288 | (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) | |
| cost-diff | 448 | (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) | |
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) | |
| cost-diff | 0 | (-.f32 (fabs.f32 x) x) | |
| cost-diff | 0 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) | |
| cost-diff | 0 | (/.f32 (fabs.f32 x) x) | |
| cost-diff | 0 | #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) | |
| cost-diff | 0 | (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) | |
| cost-diff | 0 | (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) | |
| cost-diff | 0 | #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
| 22 374× | lower-fma.f64 |
| 22 368× | lower-fma.f32 |
| 3 430× | lower-*.f64 |
| 3 428× | lower-*.f32 |
| 2 216× | lower-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 369 |
| 0 | 78 | 358 |
| 1 | 110 | 356 |
| 2 | 156 | 331 |
| 3 | 222 | 329 |
| 4 | 336 | 329 |
| 5 | 544 | 329 |
| 6 | 974 | 329 |
| 7 | 2486 | 329 |
| 8 | 5664 | 329 |
| 0 | 8138 | 329 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) |
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) |
x |
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(*.f32 x #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(fabs.f32 x) |
#s(literal 1 binary32) |
(log1p.f32 (fabs.f32 x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) |
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)) |
(/.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) |
(-.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
(/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
x |
(fma.f32 x (neg.f32 x) #s(literal 1 binary32)) |
(neg.f32 x) |
#s(literal 1 binary32) |
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(fma.f32 x x #s(literal 1 binary32)) |
(fabs.f32 x) |
| Outputs |
|---|
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) |
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
x |
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(*.f32 x #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(fabs.f32 x) |
#s(literal 1 binary32) |
(log1p.f32 (fabs.f32 x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) |
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)) |
(/.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) |
(-.f32 (fabs.f32 x) x) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(/.f32 #s(literal -1/2 binary32) x) |
#s(literal -1/2 binary32) |
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
(neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
(/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
x |
(fma.f32 x (neg.f32 x) #s(literal 1 binary32)) |
(neg.f32 x) |
#s(literal 1 binary32) |
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(fma.f32 x x #s(literal 1 binary32)) |
(fabs.f32 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) | |
| accuracy | 0.8461694692888948 | (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) | |
| accuracy | 0.9827959345982302 | (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) | |
| accuracy | 1.0549429759209514 | (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) | |
| accuracy | 0.00390625 | (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) | |
| accuracy | 0.015625 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) | |
| accuracy | 0.8461694692888948 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) | |
| accuracy | 3.400283377792025 | #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) | |
| accuracy | 0 | (-.f32 (fabs.f32 x) x) | |
| accuracy | 0 | (fabs.f32 x) | |
| accuracy | 0.8461694692888948 | (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) | |
| accuracy | 3.2866861584181044 | #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) | |
| accuracy | 0 | (/.f32 (fabs.f32 x) x) | |
| accuracy | 0 | (fabs.f32 x) | |
| accuracy | 2.7711545781845737 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) | |
| accuracy | 3.0610650390274103 | #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)) | |
| accuracy | 0.00390625 | (log1p.f32 (fabs.f32 x)) | |
| accuracy | 0.015625 | (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) | |
| accuracy | 0.03125 | (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) | |
| accuracy | 1.4127346937428862 | #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) |
| 74.0ms | 125× | 0 | invalid |
| 64.0ms | 103× | 1 | exit |
| 11.0ms | 28× | 0 | valid |
Compiled 304 to 38 computations (87.5% saved)
adjust: 36.0ms (38.2% of total)ival-log: 11.0ms (11.7% of total)ival-div: 9.0ms (9.6% of total)ival-add: 9.0ms (9.6% of total)ival-copysign: 6.0ms (6.4% of total)ival-mult: 6.0ms (6.4% of total)ival-hypot: 5.0ms (5.3% of total)ival-log1p: 4.0ms (4.2% of total)ival-sub: 3.0ms (3.2% of total)ival-fabs: 2.0ms (2.1% of total)ival-neg: 2.0ms (2.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ()) |
#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ()) |
#s(alt (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (patch (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)) (patch #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)) #<representation binary32>) () ()) |
#s(alt (/.f32 (fabs.f32 x) x) (patch (/.f32 (fabs.f32 x) x) #<representation binary32>) () ()) |
#s(alt (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) #<representation binary32>) () ()) |
#s(alt (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) (patch (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) (patch #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) #<representation binary32>) () ()) |
#s(alt (-.f32 (fabs.f32 x) x) (patch (-.f32 (fabs.f32 x) x) #<representation binary32>) () ()) |
#s(alt (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (patch (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) #<representation binary32>) () ()) |
#s(alt (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) (patch (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) #<representation binary32>) () ()) |
#s(alt (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) (patch (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) #<representation binary32>) () ()) |
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ()) |
#s(alt (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (patch (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (patch (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) #<representation binary32>) () ()) |
#s(alt (copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) (patch (copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) #<representation binary32>) () ()) |
#s(alt (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) (patch (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) #<representation binary32>) () ()) |
#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ()) |
#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ()) |
#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ()) |
#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor 0 x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor inf x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor inf x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor inf x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor inf x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor -inf x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor -inf x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor -inf x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) (taylor -inf x) (#s(alt (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (log (/ 1 (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x))))) (taylor 0 x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (- (/ (fabs x) x) (log (/ 1 x))) (taylor inf x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))) (taylor inf x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))) (taylor inf x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (fabs x) x)) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (log (+ 1 (fabs x))) (taylor 0 x) (#s(alt (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (taylor inf x) (#s(alt (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) (taylor inf x) (#s(alt (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) (patch (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) #<representation binary32>) () ())) ()) |
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#s(alt (log (+ 1 (fabs x))) (taylor -inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (log (+ 1 (fabs x))) (taylor -inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (log (+ 1 (fabs x))) (taylor -inf x) (#s(alt (log1p.f32 (fabs.f32 x)) (patch (log1p.f32 (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* 1/2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (taylor 0 x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) (taylor inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) (taylor -inf x) (#s(alt #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (patch #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) #<representation binary32>) () ())) ()) |
#s(alt (/ -1/2 x) (taylor 0 x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (* -1 (pow x 2)) 1/2) x) (taylor 0 x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (* -1 (pow x 2)) 1/2) x) (taylor 0 x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (/ (- (* -1 (pow x 2)) 1/2) x) (taylor 0 x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) (patch (-.f32 (/.f32 #s(literal -1/2 binary32) x) x) #<representation binary32>) () ())) ()) |
#s(alt (- 1 (fabs x)) (taylor 0 x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (- (+ 1 (* 1/2 (pow x 2))) (fabs x)) (taylor 0 x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) (taylor 0 x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) (taylor 0 x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ (fabs x) x)))) (taylor inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) (taylor inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) (taylor inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (/ (fabs x) x)))) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) (taylor -inf x) (#s(alt (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (patch (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #<representation binary32>) () ())) ()) |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) |
| 1.0ms | x | @ | inf | (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) |
| 1.0ms | x | @ | inf | (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) |
| 1.0ms | x | @ | -inf | (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) |
| 1.0ms | x | @ | inf | (/ (* x 1/2) (+ (fabs x) 1)) |
| 1× | egg-herbie |
| 17 124× | lower-fma.f64 |
| 17 124× | lower-fma.f32 |
| 5 492× | lower-+.f64 |
| 5 492× | lower-+.f32 |
| 4 814× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 425 | 4323 |
| 1 | 1300 | 3873 |
| 2 | 4345 | 3698 |
| 0 | 8333 | 3431 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x))))) |
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x))))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x))))) |
(* -1 (log (/ 1 x))) |
(- (/ (fabs x) x) (log (/ 1 x))) |
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))) |
(- (* -1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) (pow x 3))) (+ (log (/ 1 x)) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(* -1 (log (/ -1 x))) |
(- (* -1 (/ (fabs x) x)) (log (/ -1 x))) |
(- (* -1 (/ (- (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (log (/ -1 x))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (+ (* -6 (+ (* -1 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (* -1/2 (fabs x)))) (* -2 (pow (fabs x) 3)))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (log (/ -1 x))) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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))) |
(/ (fabs x) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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 (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)))))) |
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) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fabs x) |
(+ (fabs x) (* -1 x)) |
(+ (fabs x) (* -1 x)) |
(+ (fabs x) (* -1 x)) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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 (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)))))) |
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) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(log (/ 1 (- 1 (fabs x)))) |
(+ (log (/ 1 (- 1 (fabs x)))) (* -1/2 (/ (pow x 2) (- 1 (fabs x))))) |
(+ (log (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (- 1 (fabs x))))))) |
(+ (log (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 1/16 (/ 1 (pow (- 1 (fabs x)) 3))))) (- 1 (fabs x)))) (* 360 (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (- 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x))))))) |
(log (/ 1 x)) |
(+ (log (/ 1 x)) (/ (fabs x) x)) |
(+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(log (/ -1 x)) |
(+ (log (/ -1 x)) (* -1 (/ (fabs x) x))) |
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x))) |
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(/ 1 (- 1 (fabs x))) |
(+ (* -1/2 (/ (pow x 2) (pow (- 1 (fabs x)) 2))) (/ 1 (- 1 (fabs x)))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3))))) (* 1/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (/ 1 (- 1 (fabs x)))) |
(+ (* (pow x 2) (- (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 3))) (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))))))) (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))))) (* 1/2 (/ 1 (pow (- 1 (fabs x)) 2))))) (/ 1 (- 1 (fabs x)))) |
(/ 1 x) |
(/ (+ 1 (/ (fabs x) x)) x) |
(/ (- (+ 1 (* -1 (/ (+ 1/2 (* -1 (pow (fabs x) 2))) (pow x 2)))) (* -1 (/ (fabs x) x))) x) |
(/ (- (+ 1 (* -1 (/ (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))) (pow x 3)))) (+ (* -1 (/ (fabs x) x)) (+ (* -1 (/ (pow (fabs x) 2) (pow x 2))) (/ 1/2 (pow x 2))))) x) |
(/ -1 x) |
(* -1 (/ (+ 1 (* -1 (/ (fabs x) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (fabs x) 2) x)) (* 1/2 (/ 1 x))) (* -1 (fabs x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (fabs x) x)) (/ (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (+ 1/2 (* -1 (pow (fabs x) 2)))) x)) (* -1 (fabs x))) x))) x)) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(- 1 (fabs x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
x |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
| Outputs |
|---|
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(copysign (neg (log (/ 1 (+ (fabs x) (sqrt (+ 1 (pow x 2))))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) x) |
(* -1 (log (/ 1 (+ 1 (fabs x))))) |
(log1p.f32 (fabs.f32 x)) |
(- (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) (log (/ 1 (+ 1 (fabs x))))) |
(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) |
(- (* (pow x 2) (+ (* -1/24 (* (pow x 2) (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x))))) |
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (fma.f32 (fabs.f32 x) #s(literal 24 binary32) #s(literal 24 binary32)) (/.f32 #s(literal -3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) |
(- (* (pow x 2) (+ (* (pow x 2) (- (* -1/720 (* (pow x 2) (- (+ (* -720 (* (+ 1 (fabs x)) (+ (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 3))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))) (+ 1 (fabs x)))) (* 1/16 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 360 (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ 1 (fabs x)) (+ (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (+ 1 (fabs x)) 3)))))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (log (/ 1 (+ 1 (fabs x))))) |
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (fma.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (fma.f32 (fabs.f32 x) #s(literal 24 binary32) #s(literal 24 binary32)) (/.f32 #s(literal -3 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/16 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (fma.f32 (fabs.f32 x) #s(literal -720 binary32) #s(literal -720 binary32)) (+.f32 (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 60 binary32)))) (*.f32 (*.f32 x x) #s(literal -1/720 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(- (/ (fabs x) x) (log (/ 1 x))) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(- (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (log (/ 1 x)) (* -1 (/ (fabs x) x)))) |
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(fma.f32 (*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) #s(literal 1/16 binary32) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 x (/.f32 (fabs.f32 x) x) x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
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(fma.f32 x (/.f32 (fabs.f32 x) x) (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f32 x (/.f32 (+.f32 (fabs.f32 x) (/.f32 #s(literal -1/2 binary32) x)) x) (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
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(fabs x) |
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(+ (fabs x) (* -1 x)) |
(-.f32 (fabs.f32 x) x) |
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
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(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
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(log (+ 1 (fabs x))) |
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(fma.f32 x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) |
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x |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 x (/.f32 (fabs.f32 x) x) x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
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(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
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(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
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(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
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(fabs x) |
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(fabs x) |
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(fabs x) |
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(fabs x) |
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(fabs x) |
(fabs.f32 x) |
(fabs x) |
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(fabs x) |
(fabs.f32 x) |
(fabs x) |
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1 |
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(fma.f32 (/.f32 (fabs.f32 x) x) (neg.f32 x) x) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(+.f32 x (*.f32 x (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 (fabs.f32 x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(*.f32 x (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (-.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (fabs.f32 x) x)))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(*.f32 x (-.f32 #s(literal -1 binary32) (/.f32 (fabs.f32 x) x))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(neg.f32 (fma.f32 x (+.f32 (/.f32 (fabs.f32 x) x) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(neg.f32 (fma.f32 x (/.f32 (+.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) (fabs.f32 x)) x) x)) |
| 4 654× | lower-/.f64 |
| 4 646× | lower-/.f32 |
| 4 064× | lower-fma.f64 |
| 4 056× | lower-fma.f32 |
| 3 614× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 326 |
| 0 | 78 | 307 |
| 1 | 282 | 289 |
| 2 | 2134 | 282 |
| 0 | 8294 | 281 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) |
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x))) |
(/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) |
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x)) |
(/.f32 (fabs.f32 x) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x)) |
(-.f32 (fabs.f32 x) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x))) |
(fabs.f32 x) |
(fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) |
(log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) |
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) |
(+.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(+.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
(pow.f32 (/.f32 (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1/8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 x (/.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x #s(literal 1/2 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 x (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fma.f32 x x #s(literal -1 binary32))) (+.f32 (fabs.f32 x) #s(literal -1 binary32)) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x #s(literal 1/2 binary32)))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 x #s(literal -1 binary32)) (/.f32 (*.f32 x #s(literal -1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 x (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 x (fma.f32 x x #s(literal -1 binary32))) (/.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x x) (fma.f32 x (*.f32 x x) #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x x) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 (*.f32 x #s(literal -1/2 binary32)) #s(literal -1 binary32)) (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
(-.f32 (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) |
(-.f32 (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1/8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1/8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))))) |
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1/8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) |
(/.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1/8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (log1p.f32 (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(/.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) |
(/.f32 (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1/8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))) |
(/.f32 (neg.f32 (+.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 1/8 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (log1p.f32 (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) |
(/.f32 (neg.f32 (-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (*.f32 x (*.f32 x #s(literal 1/2 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (/.f32 (*.f32 x (*.f32 x #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))))) |
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(*.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)))) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (/.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) #s(literal -1 binary32))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (-.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) #s(literal 1 binary32))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (-.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (-.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (neg.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) (neg.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (-.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (-.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (-.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (-.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) (/.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (*.f32 x (*.f32 x x)))))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (-.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) (/.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (-.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (fma.f32 x (neg.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (-.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal -1 binary32))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (neg.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (neg.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (fma.f32 x (*.f32 x x) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x (fma.f32 x x #s(literal 1 binary32))) (*.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (/.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (neg.f32 (*.f32 x (*.f32 x x)))))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (fma.f32 (fabs.f32 x) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))) (fma.f32 x x #s(literal 1 binary32))))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (/.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))) |
(*.f32 (/.f32 (*.f32 (fma.f32 x (+.f32 x (neg.f32 x)) #s(literal 1 binary32)) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))) #s(literal -1 binary32))) |
Compiled 27 714 to 3 352 computations (87.9% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 037 | 10 | 1 047 |
| Fresh | 1 | 12 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 039 | 29 | 1 068 |
| Status | Accuracy | Program |
|---|---|---|
| 14.2% | (copysign.f32 (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x) | |
| 14.4% | (copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x) | |
| 17.3% | (copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) | |
| ✓ | 40.1% | (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
| ✓ | 29.7% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
| 30.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) | |
| 32.6% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) | |
| ▶ | 19.7% | (copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
| ✓ | 30.6% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
| 31.8% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) | |
| ✓ | 51.1% | (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
| 15.2% | (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x) | |
| 12.2% | (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) | |
| 45.5% | (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 24 binary32)) (/.f32 #s(literal 3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/24 binary32)) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) | |
| ▶ | 45.0% | (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) |
| 48.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x) | |
| ▶ | 49.9% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) |
| 15.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x) | |
| 15.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) | |
| 42.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) | |
| ✓ | 66.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
| ✓ | 14.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
| 14.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) | |
| ▶ | 8.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
| ✓ | 16.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
| 9.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) | |
| 6.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) | |
| ▶ | 16.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
| 17.5% | #s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)) |
Compiled 1 009 to 518 computations (48.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) | |
| cost-diff | 0 | (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) | |
| cost-diff | 0 | #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) | |
| cost-diff | 0 | (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) | |
| cost-diff | 0 | #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) | |
| cost-diff | 0 | (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) | |
| cost-diff | 64 | (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) | |
| cost-diff | 96 | (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))) | |
| cost-diff | 160 | (*.f32 #s(literal 0 binary32) x) | |
| cost-diff | 832 | (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) | |
| cost-diff | 0 | #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) | |
| cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) | |
| cost-diff | 160 | (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) | |
| cost-diff | 512 | (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
| 8 352× | lower-fma.f64 |
| 8 342× | lower-fma.f32 |
| 4 110× | lower-*.f64 |
| 4 098× | lower-*.f32 |
| 1 786× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 718 |
| 0 | 116 | 622 |
| 1 | 203 | 601 |
| 2 | 379 | 587 |
| 3 | 1146 | 560 |
| 4 | 3764 | 560 |
| 5 | 5225 | 560 |
| 6 | 7290 | 560 |
| 0 | 8310 | 544 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) |
(fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) |
x |
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
#s(literal -1/24 binary32) |
(*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(*.f32 x x) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
#s(literal 1 binary32) |
(fabs.f32 x) |
(+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
#s(literal 3 binary32) |
(/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fabs.f32 x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) |
#s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)) |
(/.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(fabs.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) |
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)) |
(/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x) |
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) |
(fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) |
(-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) |
#s(literal 0 binary32) |
(*.f32 x (*.f32 x x)) |
x |
(*.f32 x x) |
(fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))) |
(+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))) |
(fma.f32 x x (*.f32 #s(literal 0 binary32) x)) |
(*.f32 #s(literal 0 binary32) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) |
#s(literal 1 binary32) |
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) |
x |
(*.f32 x #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(fabs.f32 x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) |
#s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) |
#s(literal -1/2 binary32) |
(/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(*.f32 x x) |
x |
(-.f32 #s(literal 1 binary32) (fabs.f32 x)) |
#s(literal 1 binary32) |
(fabs.f32 x) |
(neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))) |
(log1p.f32 (neg.f32 (fabs.f32 x))) |
(neg.f32 (fabs.f32 x)) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (/.f32 (*.f32 x (fma.f32 x (*.f32 #s(literal -1/8 binary32) (+.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (/.f32 (*.f32 x (fma.f32 x (*.f32 #s(literal -1/8 binary32) (+.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) |
(fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 x (/.f32 (*.f32 x (fma.f32 x (*.f32 #s(literal -1/8 binary32) (+.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x))) |
x |
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(/.f32 (*.f32 x (fma.f32 x (*.f32 #s(literal -1/8 binary32) (+.f32 x (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(fma.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
#s(literal -1/24 binary32) |
(*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(*.f32 x x) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
#s(literal 1 binary32) |
(fabs.f32 x) |
(+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
#s(literal 3 binary32) |
(/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fabs.f32 x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x)))) |
#s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))) |
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)) |
(/.f32 x (fabs.f32 x)) |
(/.f32 #s(literal 1 binary32) x) |
#s(literal 1 binary32) |
x |
(fabs.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x)))) |
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)) |
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x (fabs.f32 x))) |
(/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x) |
(/.f32 x (fabs.f32 x)) |
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) |
(fabs.f32 x) |
(fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) |
(fabs.f32 (*.f32 x (*.f32 x x))) |
(-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x))) |
(*.f32 x (*.f32 x (neg.f32 x))) |
#s(literal 0 binary32) |
(*.f32 x (*.f32 x x)) |
x |
(*.f32 x x) |
(fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x)))) |
(*.f32 x x) |
(+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))) |
(*.f32 x x) |
(fma.f32 x x (*.f32 #s(literal 0 binary32) x)) |
(*.f32 x x) |
(*.f32 #s(literal 0 binary32) x) |
#s(literal 0 binary32) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) |
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) |
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) |
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
#s(literal 1 binary32) |
(fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)) |
x |
(*.f32 x #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(fabs.f32 x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (log1p.f32 (neg.f32 (fabs.f32 x))))) x) |
#s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) |
#s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (log1p.f32 (neg.f32 (fabs.f32 x))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) |
(-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x (/.f32 x (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (log1p.f32 (neg.f32 (fabs.f32 x)))) |
#s(literal -1/2 binary32) |
(/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(*.f32 x (/.f32 x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(*.f32 x x) |
x |
(-.f32 #s(literal 1 binary32) (fabs.f32 x)) |
#s(literal 1 binary32) |
(fabs.f32 x) |
(neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))) |
(log1p.f32 (neg.f32 (fabs.f32 x))) |
(neg.f32 (fabs.f32 x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fabs.f32 x) | |
| accuracy | 0.00390625 | (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) | |
| accuracy | 0.015625 | (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) | |
| accuracy | 0.12424676934741197 | #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) | |
| accuracy | 0 | (*.f32 x #s(literal 1/2 binary32)) | |
| accuracy | 0 | (fabs.f32 x) | |
| accuracy | 0.061152669707804606 | #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) | |
| accuracy | 5.904022590811836 | (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) | |
| accuracy | 0.01171875 | (*.f32 x (*.f32 x x)) | |
| accuracy | 4.352970378245418 | (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) | |
| accuracy | 7.28964580382256 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) | |
| accuracy | 7.390556857185425 | #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)) | |
| accuracy | 0 | (fabs.f32 x) | |
| accuracy | 0.03515625 | (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)) | |
| accuracy | 7.28964580382256 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) | |
| accuracy | 7.390556857185425 | #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))) | |
| accuracy | 0.01953125 | (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) | |
| accuracy | 0.0234375 | (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) | |
| accuracy | 0.03142341452874396 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) | |
| accuracy | 0.053066259768442016 | (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
| 111.0ms | 195× | 0 | invalid |
| 66.0ms | 46× | 1 | valid |
| 6.0ms | 15× | 0 | valid |
Compiled 498 to 63 computations (87.3% saved)
ival-add: 48.0ms (30% of total)ival-sub: 32.0ms (20% of total)ival-mult: 17.0ms (10.6% of total)ival-div: 15.0ms (9.4% of total)ival-log: 14.0ms (8.8% of total)ival-hypot: 6.0ms (3.8% of total)ival-copysign: 6.0ms (3.8% of total)adjust: 5.0ms (3.1% of total)const: 4.0ms (2.5% of total)ival-fabs: 4.0ms (2.5% of total)ival-log1p: 4.0ms (2.5% of total)ival-neg: 3.0ms (1.9% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (patch (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #<representation binary32>) () ()) |
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)) (patch (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)) #<representation binary32>) () ()) |
#s(alt (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) (patch (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))) (patch #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))) #<representation binary32>) () ()) |
#s(alt (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) (patch (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) #<representation binary32>) () ()) |
#s(alt (*.f32 #s(literal 0 binary32) x) (patch (*.f32 #s(literal 0 binary32) x) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))) (patch (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))) #<representation binary32>) () ()) |
#s(alt (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (patch (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) #<representation binary32>) () ()) |
#s(alt (copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) (patch (copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) #<representation binary32>) () ()) |
#s(alt (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) (patch (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) (patch #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) #<representation binary32>) () ()) |
#s(alt (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) (patch (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) #<representation binary32>) () ()) |
#s(alt (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) (patch (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) #<representation binary32>) () ()) |
#s(alt #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) (patch #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) #<representation binary32>) () ()) |
#s(alt (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) (patch (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ()) |
#s(alt (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ()) |
#s(alt (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ()) |
#s(alt (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (patch (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #<representation binary32>) () ()) |
#s(alt (fabs.f32 x) (patch (fabs.f32 x) #<representation binary32>) () ()) |
#s(alt #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)) (patch #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)) #<representation binary32>) () ()) |
#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) #<representation binary32>) () ()) |
#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ()) |
#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt (* 1/2 (/ x (+ 1 (fabs x)))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) (taylor 0 x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) (taylor inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))) (taylor -inf x) (#s(alt (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (patch (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) #<representation binary32>) () ())) ()) |
#s(alt (/ 1/2 (+ 1 (fabs x))) (taylor 0 x) (#s(alt (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (patch (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (patch (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (patch (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) (taylor 0 x) (#s(alt (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (patch (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (taylor inf x) (#s(alt (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (patch (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) (taylor inf x) (#s(alt (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (patch (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
#s(alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) (taylor inf x) (#s(alt (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (patch (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) #<representation binary32>) () ())) ()) |
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#s(alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) (taylor -inf x) (#s(alt #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)) (patch #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)) #<representation binary32>) () ())) ()) |
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#s(alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) (taylor inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -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)))) (taylor inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) #<representation binary32>) () ())) ()) |
#s(alt (* -1 (log (/ -1 x))) (taylor -inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) #<representation binary32>) () ())) ()) |
#s(alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) (taylor -inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) #<representation binary32>) () ())) ()) |
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#s(alt (+ (* -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))) (taylor -inf x) (#s(alt #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) (patch #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f32 x (*.f32 x x)) (patch (*.f32 x (*.f32 x x)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor 0 x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
#s(alt (* 1/2 x) (taylor -inf x) (#s(alt (*.f32 x #s(literal 1/2 binary32)) (patch (*.f32 x #s(literal 1/2 binary32)) #<representation binary32>) () ())) ()) |
84 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) |
| 3.0ms | x | @ | inf | (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) |
| 3.0ms | x | @ | -inf | (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) |
| 2.0ms | x | @ | -inf | (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x))))) |
| 1.0ms | x | @ | 0 | (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x))))) |
| 1× | egg-herbie |
| 12 198× | lower-fma.f64 |
| 12 198× | lower-fma.f32 |
| 5 082× | lower-*.f64 |
| 5 082× | lower-*.f32 |
| 4 374× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 296 | 4410 |
| 1 | 843 | 4099 |
| 2 | 2673 | 3868 |
| 3 | 7514 | 3868 |
| 0 | 8070 | 3655 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) |
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) |
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) |
(* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))) |
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))) |
(* -1 (* (pow x 3) (- (* 1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))) |
(/ 1/2 (+ 1 (fabs x))) |
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) |
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) |
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) |
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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))) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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))) |
(/ (fabs x) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(/ (fabs (neg (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (neg (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (neg (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (neg (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (neg (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (neg (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (neg (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (neg (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (* -1 (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (* -1 (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (* -1 (pow x 3))) (fabs (pow x 2))) |
(/ (fabs (* -1 (pow x 3))) (fabs (pow x 2))) |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(fabs (neg (pow x 3))) |
(fabs (neg (pow x 3))) |
(fabs (neg (pow x 3))) |
(fabs (neg (pow x 3))) |
(fabs (neg (pow x 3))) |
(fabs (neg (pow x 3))) |
(fabs (neg (pow x 3))) |
(fabs (neg (pow x 3))) |
(fabs (* -1 (pow x 3))) |
(fabs (* -1 (pow x 3))) |
(fabs (* -1 (pow x 3))) |
(fabs (* -1 (pow x 3))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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 (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)))))) |
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) |
(* -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 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2))))) |
(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2))))) |
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ (+ 1 (+ (* -1 (pow x 2)) (pow x 2))) (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (log (/ 1 (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(log (/ 1 (- 1 (fabs x)))) |
(+ (log (/ 1 (- 1 (fabs x)))) (* -1/2 (/ (pow x 2) (- 1 (fabs x))))) |
(+ (log (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (* 1/24 (* (pow x 2) (- (* 24 (* (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (- 1 (fabs x))))))) |
(+ (log (/ 1 (- 1 (fabs x)))) (* (pow x 2) (- (* (pow x 2) (+ (* 1/720 (* (pow x 2) (- (+ (* -720 (* (+ (* 1/16 (/ 1 (pow (- 1 (fabs x)) 2))) (+ (* 1/2 (/ (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 1/16 (/ 1 (pow (- 1 (fabs x)) 3))))) (- 1 (fabs x)))) (* 360 (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))))) (* 30 (/ 1 (pow (- 1 (fabs x)) 3)))))) (* 1/24 (- (* 24 (* (+ (* 1/8 (/ 1 (pow (- 1 (fabs x)) 2))) (* 1/4 (/ 1 (pow (- 1 (fabs x)) 3)))) (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x))))))) |
(log (/ 1 x)) |
(+ (log (/ 1 x)) (/ (fabs x) x)) |
(+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(log (/ -1 x)) |
(+ (log (/ -1 x)) (* -1 (/ (fabs x) x))) |
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (log (/ -1 x)) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* 1/2 (fabs x)) (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2)))))) (+ (* 2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1/2 (* -1 (pow (fabs x) 2))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (* -1 (pow (fabs x) 2)))) (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (log (- 1 (fabs x)))) |
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (log (- 1 (fabs x)))) |
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (log (- 1 (fabs x)))) |
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (log (- 1 (fabs x)))) |
(* -1/2 (/ (pow x 2) (- 1 (fabs x)))) |
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x)))))) |
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x)))))) |
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x)))))) |
(* -1/2 (/ (pow x 2) (- 1 (fabs x)))) |
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x)))))) |
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x)))))) |
(* (pow x 2) (- (* -1 (/ (log (- 1 (fabs x))) (pow x 2))) (* 1/2 (/ 1 (- 1 (fabs x)))))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (pow x 2) (- 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(/ (fabs x) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) 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 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (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))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
(* 1/2 x) |
| Outputs |
|---|
(* 1/2 (/ x (+ 1 (fabs x)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) |
(*.f32 x (fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) |
(*.f32 x (fma.f32 x (*.f32 x (/.f32 (+.f32 #s(literal -1/8 binary32) (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
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(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(fabs x) |
(fabs.f32 x) |
(/ (fabs x) x) |
(/.f32 (fabs.f32 x) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/.f32 (fma.f32 x (log.f32 x) (fabs.f32 x)) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/.f32 (fma.f32 x (log.f32 x) (fabs.f32 x)) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/.f32 (fma.f32 x (log.f32 x) (fabs.f32 x)) x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+.f32 (/.f32 (fabs.f32 x) x) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x))))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+.f32 (/.f32 (fabs.f32 x) x) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x))))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+.f32 (/.f32 (fabs.f32 x) x) (-.f32 (log.f32 #s(literal -1 binary32)) (neg.f32 (log.f32 (neg.f32 x))))) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 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.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (fma.f32 (*.f32 x x) (*.f32 (+.f32 (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 (/.f32 #s(literal 45 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 30 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))))) #s(literal 1/720 binary32)) (/.f32 #s(literal -1/8 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x))) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (/.f32 (fabs.f32 x) x) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (log.f32 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)))) |
(+.f32 (/.f32 (fabs.f32 x) x) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 x x))) (log.f32 x)))) |
(* -1 (log (/ -1 x))) |
(neg.f32 (neg.f32 (log.f32 (neg.f32 x)))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x))))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 x (neg.f32 x) #s(literal 1 binary32)) x) (fabs.f32 x)) (neg.f32 x)) (neg.f32 (log.f32 (neg.f32 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))) |
(neg.f32 (+.f32 (neg.f32 (log.f32 (neg.f32 x))) (/.f32 (-.f32 (fabs.f32 x) (/.f32 (fma.f32 (*.f32 (fabs.f32 x) (fma.f32 #s(literal 2 binary32) (*.f32 x x) #s(literal -3 binary32))) (/.f32 #s(literal -1/6 binary32) x) (fma.f32 (*.f32 x x) #s(literal -1/2 binary32) #s(literal 1/2 binary32))) x)) x))) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(pow x 3) |
(*.f32 x (*.f32 x x)) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
| 3 636× | lower-fma.f64 |
| 3 626× | lower-fma.f32 |
| 2 786× | lower-*.f64 |
| 2 774× | lower-*.f32 |
| 1 950× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 526 |
| 0 | 114 | 477 |
| 1 | 467 | 436 |
| 2 | 4067 | 379 |
| 0 | 9061 | 369 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) |
(*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) |
#s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x))) |
(/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) |
(*.f32 #s(literal 0 binary32) x) |
(+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))) |
(fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) |
#s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x)))) |
(+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) |
#s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x))))) |
(/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) |
(/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(fabs.f32 x) |
#s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x)) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) |
(*.f32 x (*.f32 x x)) |
(*.f32 x #s(literal 1/2 binary32)) |
| Outputs |
|---|
(+.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x)) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))))) |
(+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x))) |
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x))) |
(fma.f32 x (*.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32)))) #s(literal -1/24 binary32))) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))))) |
(fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) x) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))))) |
(fma.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) x) (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))) x (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x))) |
(fma.f32 (*.f32 x #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 x #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x))) |
(fma.f32 (*.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32)))) #s(literal -1/24 binary32))) x (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))))) |
(fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32)))) x) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))))) |
(fma.f32 (*.f32 x #s(literal -1/24 binary32)) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))))) |
(fma.f32 (*.f32 x (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32)))) #s(literal -1/24 binary32) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))))) |
(fma.f32 (*.f32 x (/.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (+.f32 x #s(literal 1 binary32)))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32)))) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))))) |
(/.f32 (fma.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 #s(literal -1/13824 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (*.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32)))) (*.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32)))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))))) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (*.f32 (+.f32 x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32)))))) (fma.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x)) (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x)) (-.f32 (*.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32))))) (*.f32 (*.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (*.f32 #s(literal -1/24 binary32) x)) (*.f32 x (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))))))) |
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(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)) (*.f32 x (*.f32 x x))) |
(*.f32 (pow.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal 3 binary32)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) |
(*.f32 (pow.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) #s(literal 3 binary32)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(*.f32 (fabs.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) (fabs.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))))) |
(*.f32 (fabs.f32 (pow.f32 x #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 x #s(literal 3/2 binary32)))) |
(*.f32 x #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) x) |
Compiled 42 455 to 4 797 computations (88.7% saved)
50 alts after pruning (45 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 406 | 31 | 1 437 |
| Fresh | 3 | 14 | 17 |
| Picked | 5 | 0 | 5 |
| Done | 2 | 5 | 7 |
| Total | 1 416 | 50 | 1 466 |
| Status | Accuracy | Program |
|---|---|---|
| 14.2% | (copysign.f32 (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x) | |
| 14.4% | (copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x) | |
| 17.3% | (copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) | |
| ✓ | 40.1% | (copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
| ✓ | 29.7% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
| 30.9% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) | |
| 32.6% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) | |
| 19.9% | (copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x) | |
| 19.9% | (copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x) | |
| 19.8% | (copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x))))) x) | |
| ✓ | 30.6% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
| 31.8% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) | |
| 15.2% | (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x) | |
| 12.2% | (copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) | |
| 47.9% | (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x) | |
| 47.7% | (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x))) x) | |
| 18.1% | (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))))))))) x) | |
| 47.4% | (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 x))))) x) | |
| 12.2% | (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) | |
| 16.3% | (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) | |
| 15.3% | (copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x) | |
| 48.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x) | |
| 15.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) | |
| 42.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) | |
| ✓ | 66.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
| ✓ | 14.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
| 5.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) | |
| 2.7% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) | |
| 3.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) | |
| 8.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) | |
| 8.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) | |
| 14.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) | |
| 5.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) | |
| 7.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) | |
| 4.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) | |
| 7.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) | |
| 16.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) | |
| 4.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) | |
| 5.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) | |
| 7.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) | |
| 8.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) | |
| 9.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) | |
| 7.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) | |
| 6.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) | |
| 3.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) | |
| 4.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) | |
| 5.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) | |
| 16.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) | |
| 6.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) | |
| 17.5% | #s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)) |
Compiled 2 307 to 766 computations (66.8% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x) |
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))))))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 (-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x) |
(copysign.f32 (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x) |
(copysign.f32 (+.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 24 binary32)) (/.f32 #s(literal 3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/24 binary32)) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
2 calls:
| 21.0ms | x |
| 20.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
| 98.4% | 3 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x) |
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))))))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 (-.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x) |
(copysign.f32 (+.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))))) x) |
(copysign.f32 (+.f32 (log.f32 (fma.f32 x (neg.f32 x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32)))))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (/.f32 #s(literal 1/4 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 24 binary32)) (/.f32 #s(literal 3 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 (fabs.f32 x) #s(literal -1 binary32))))) (*.f32 (*.f32 x x) #s(literal 1/24 binary32)) (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
2 calls:
| 20.0ms | x |
| 19.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | x |
| 98.2% | 3 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x) |
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))))))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
2 calls:
| 49.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 31.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | x |
| 98.1% | 3 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x) |
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 x (/.f32 (*.f32 x #s(literal 1/2 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (/.f32 #s(approx (+ (* x x) (+ (* x (neg x)) 1)) #s(literal 1 binary32)) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (fabs.f32 x)))))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) (fma.f32 #s(literal 1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal 1 binary32)) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))))) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 (/.f32 (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32))) (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))))) x) |
(copysign.f32 (neg.f32 (log.f32 (/.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) (fma.f32 x x (fma.f32 x (neg.f32 x) #s(literal 1 binary32)))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (neg.f32 (log1p.f32 (neg.f32 (*.f32 (*.f32 x (*.f32 x x)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x))))))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
2 calls:
| 19.0ms | x |
| 17.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
| 97.6% | 3 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x) |
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
2 calls:
| 18.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 14.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | x |
| 97.6% | 3 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) (neg.f32 (log.f32 (neg.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (sqrt (+ (* x x) 1)) (fabs x))) (neg.f32 (+.f32 (/.f32 (fabs.f32 x) x) (neg.f32 (log.f32 (neg.f32 x)))))) x) |
#s(approx (copysign (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) x) (copysign.f32 (neg.f32 (log.f32 (-.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)))) x)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
2 calls:
| 17.0ms | x |
| 14.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.5% | 3 | x |
| 95.5% | 3 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x) |
2 calls:
| 13.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 3 | x |
| 95.2% | 3 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(literal 1 binary32)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) #s(literal 1 binary32)) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) x) #s(literal 1 binary32)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (fabs.f32 x))))) x) |
(copysign.f32 (log.f32 #s(approx (+ (sqrt (+ (* x x) 1)) (fabs x)) (+.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x #s(literal 1/2 binary32)) (neg.f32 x))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
2 calls:
| 260.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 3 | x |
| 94.9% | 3 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x) |
2 calls:
| 11.0ms | x |
| 9.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.3% | 2 | x |
| 81.3% | 2 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (-.f32 (log.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (neg.f32 (fabs.f32 x)))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
2 calls:
| 10.0ms | x |
| 10.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.8% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 66.8% | 1 | x |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
2 calls:
| 13.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 22.7% | 2 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 22.7% | 2 | x |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x x))) (*.f32 x (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) x) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 (*.f32 x x) x) (/.f32 (fabs.f32 x) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (*.f32 x (*.f32 x x)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 x (*.f32 x x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 x (*.f32 x (*.f32 x x))) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x)))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 x (*.f32 x (*.f32 x x))))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 x x))) (fabs.f32 (+.f32 #s(literal 0 binary32) (fma.f32 x x (*.f32 #s(literal 0 binary32) x))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x x)))) (fabs.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 x x))))))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 x x)))))) x))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
2 calls:
| 10.0ms | x |
| 7.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.3% | 1 | x |
| 16.3% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
Total -3.1b remaining (-11.6%)
Threshold costs -3.1b (-11.6%)
| Inputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (fabs.f32 x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 #s(literal 1 binary32) x) (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (* -1/2 (/ (* x x) (- 1 (fabs x)))) (neg (log (+ 1 (neg (fabs x)))))) (/.f32 (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (neg (log (/ (/ 1 (+ (fabs x) (sqrt (+ (* x x) 1)))) 1))) #s(approx (+ (* x (/ (* x 1/2) (+ (fabs x) 1))) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 x x) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (*.f32 (/.f32 x (*.f32 x (*.f32 x x))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 (*.f32 x x) (fabs.f32 (+.f32 #s(literal 0 binary32) x))) x))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
2 calls:
| 3.0ms | x |
| 3.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 16.3% | 1 | x |
| 16.3% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12982110679149628 | 2.0337069034576416 |
| 0.0ms | -2.342763662338257 | -0.6734638810157776 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12982110679149628 | 2.0337069034576416 |
| 0.0ms | -2.342763662338257 | -0.6734638810157776 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12982110679149628 | 2.0337069034576416 |
| 0.0ms | -0.6734638810157776 | -0.2839053273200989 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12982110679149628 | 2.0337069034576416 |
| 0.0ms | -2.342763662338257 | -0.6734638810157776 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12982110679149628 | 2.0337069034576416 |
| 0.0ms | -0.6734638810157776 | -0.2839053273200989 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12982110679149628 | 2.0337069034576416 |
| 0.0ms | -0.6734638810157776 | -0.2839053273200989 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12982110679149628 | 2.0337069034576416 |
| 0.0ms | -2.342763662338257 | -0.6734638810157776 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12982110679149628 | 2.0337069034576416 |
| 0.0ms | -2.342763662338257 | -0.6734638810157776 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.130186066031456 | 3.7557568550109863 |
Compiled 16 to 11 computations (31.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.12982110679149628 | 2.0337069034576416 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 32× | +-commutative_binary32 |
| 18× | *-commutative_binary32 |
| 8× | sub-neg_binary32 |
| 4× | neg-sub0_binary32 |
| 4× | neg-mul-1_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 137 | 986 |
| 1 | 165 | 986 |
| 2 | 171 | 986 |
| 3 | 174 | 986 |
| 4 | 175 | 986 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x))) |
(if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
| Outputs |
|---|
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (+.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 45 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/720 binary32)) #s(literal 30 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (+.f32 (fabs.f32 x) #s(literal 1 binary32)) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32)))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/24 binary32) (*.f32 (/.f32 (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (+.f32 x #s(literal 1 binary32))))) (+.f32 x #s(literal 1 binary32))) (/.f32 #s(literal 1/2 binary32) (+.f32 x #s(literal 1 binary32)))) (log1p.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) (log1p.f32 (fabs.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) (fma.f32 (/.f32 (*.f32 x x) (+.f32 x #s(literal 1 binary32))) #s(literal -1/2 binary32) (neg.f32 (log1p.f32 x)))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -1/2 binary32)) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (+.f32 x (/.f32 #s(literal 1/2 binary32) x))))) x))) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal -2 binary32)) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (-.f32 (fabs.f32 x) x))) x) (if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x))) |
(if (<=.f32 x #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (+.f32 x (fabs.f32 x)))) x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(if (<=.f32 (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) #s(literal 13421773/67108864 binary32)) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x))) x) |
(copysign.f32 #s(approx (log (/ (+ (* x x) (+ (* x (neg x)) 1)) (- (sqrt (+ (* x x) 1)) (fabs x)))) #s(approx (+ (log x) (/ (fabs x) x)) (/.f32 x x))) x) |
| 24 610× | lower-fma.f64 |
| 24 610× | lower-fma.f32 |
| 17 124× | lower-fma.f64 |
| 17 124× | lower-fma.f32 |
| 15 482× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 0 | 16 | 44 |
| 1 | 51 | 44 |
| 2 | 324 | 44 |
| 3 | 3419 | 44 |
| 0 | 8352 | 39 |
| 0 | 353 | 4054 |
| 1 | 1082 | 3798 |
| 2 | 3609 | 3613 |
| 0 | 8505 | 3345 |
| 0 | 425 | 4323 |
| 1 | 1300 | 3873 |
| 2 | 4345 | 3698 |
| 0 | 8333 | 3431 |
| 0 | 68 | 526 |
| 0 | 114 | 477 |
| 1 | 467 | 436 |
| 2 | 4067 | 379 |
| 0 | 9061 | 369 |
| 0 | 169 | 782 |
| 1 | 490 | 754 |
| 2 | 1511 | 741 |
| 3 | 5413 | 691 |
| 0 | 8421 | 635 |
| 0 | 48 | 326 |
| 0 | 78 | 307 |
| 1 | 282 | 289 |
| 2 | 2134 | 282 |
| 0 | 8294 | 281 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 995 to 303 computations (69.5% saved)
Compiled 1 426 to 250 computations (82.5% saved)
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