
Time bar (total: 12.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 4 to 4 computations (0% saved)
| 211.0ms | 8 256× | 0 | valid |
ival-asinh: 77.0ms (89.7% of total)ival-true: 5.0ms (5.8% of total)ival-assert: 3.0ms (3.5% of total)| 1× | egg-herbie |
| 12× | sub-neg |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 8× | +-commutative |
| 4× | +-commutative |
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 |
| 1 | 13 | 12 |
| 0 | 13 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 133 | 0 | - | 1 | (0.01512573066572711) | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 71 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (fabs.f64 x) |
| 0 | 0 | - | 0 | - | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | sensitivity | 131 | 1 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 71 | 0 |
| ↳ | (*.f64 x x) | overflow | 71 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 71 | |
log.f64 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) | overflow | 1 | |
| ↳ | (*.f64 x x) | overflow | 71 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 71 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 202 | 1 |
| - | 0 | 53 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 202 | 1 | 0 |
| - | 0 | 0 | 53 |
| number | freq |
|---|---|
| 0 | 54 |
| 1 | 201 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 59.0ms | 144× | 1 | valid |
| 43.0ms | 88× | 2 | valid |
| 23.0ms | 256× | 0 | valid |
| 14.0ms | 24× | 3 | valid |
Compiled 128 to 40 computations (68.8% saved)
ival-hypot: 45.0ms (38.5% of total)ival-log: 40.0ms (34.3% of total)ival-add: 9.0ms (7.7% of total)ival-copysign: 8.0ms (6.9% of total)adjust: 7.0ms (6% of total)ival-fabs: 4.0ms (3.4% of total)ival-mult: 4.0ms (3.4% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 25.4% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 13 to 9 computations (30.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 4× | +-commutative |
| 2× | sqrt-lowering-sqrt.f64 |
| 2× | copysign-lowering-copysign.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 1 | 13 | 49 |
| 0 | 13 | 44 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
(log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
(+ (fabs x) (sqrt (+ (* x x) 1))) |
(fabs x) |
x |
(sqrt (+ (* x x) 1)) |
(+ (* x x) 1) |
(* x x) |
1 |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(+ (fabs x) (sqrt (+ (* x x) 1))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fabs x) |
(fabs.f64 x) |
x |
(sqrt (+ (* x x) 1)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(+ (* x x) 1) |
(fma.f64 x x #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | accuracy | 74.2% | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | accuracy | 51.9% | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 22.0ms | 44× | 2 | valid |
| 16.0ms | 72× | 1 | valid |
| 12.0ms | 128× | 0 | valid |
| 7.0ms | 12× | 3 | valid |
Compiled 51 to 11 computations (78.4% saved)
ival-log: 19.0ms (43.5% of total)ival-hypot: 9.0ms (20.6% of total)ival-add: 4.0ms (9.2% of total)adjust: 3.0ms (6.9% of total)ival-copysign: 3.0ms (6.9% of total)ival-fabs: 2.0ms (4.6% of total)ival-mult: 2.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x x) 1)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x)> |
#<alt (log (+ (fabs x) (sqrt (+ (* x x) 1))))> |
#<alt (+ (fabs x) (sqrt (+ (* x x) 1)))> |
#<alt (sqrt (+ (* x x) 1))> |
#<alt (fabs x)> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (pow x 2))> |
#<alt (+ 1 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))> |
#<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)))))))> |
#<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)))))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))> |
#<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))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))> |
#<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)))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))> |
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))> |
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))> |
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
| 1.0ms | x | @ | inf | (log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
| 0.0ms | x | @ | inf | (+ (fabs x) (sqrt (+ (* x x) 1))) |
| 0.0ms | x | @ | -inf | (log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
| 0.0ms | x | @ | inf | (+ (* x x) 1) |
| 1× | batch-egg-rewrite |
| 5 872× | accelerator-lowering-fma.f32 |
| 5 872× | accelerator-lowering-fma.f64 |
| 3 070× | *-lowering-*.f32 |
| 3 070× | *-lowering-*.f64 |
| 2 316× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 44 |
| 1 | 44 | 44 |
| 2 | 317 | 44 |
| 3 | 3420 | 44 |
| 0 | 8354 | 39 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x x) 1) |
(copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) |
(log (+ (fabs x) (sqrt (+ (* x x) 1)))) |
(+ (fabs x) (sqrt (+ (* x x) 1))) |
(sqrt (+ (* x x) 1)) |
(fabs x) |
| Outputs |
|---|
(+.f64 (*.f64 x x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 x x)) |
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(exp.f64 (log1p.f64 (*.f64 x x))) |
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (*.f64 x x))) #s(literal -1 binary64))) |
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(hypot.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(hypot.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(hypot.f64 (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(hypot.f64 (*.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(fabs.f64 (fma.f64 x x #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(fma.f64 (exp.f64 (log.f64 (neg.f64 x))) (exp.f64 (log.f64 (neg.f64 x))) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 x (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
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(/.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (fma.f64 x x #s(literal 1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(*.f64 (fma.f64 x (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))))) (-.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (fma.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (log1p.f64 (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))))) |
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))))))) |
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))))) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(exp.f64 (log.f64 (fabs.f64 x))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(fabs.f64 x) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 (-.f64 x #s(literal 0 binary64))) |
(pow.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fabs.f64 x)) |
| 1× | egg-herbie |
| 24 610× | accelerator-lowering-fma.f32 |
| 24 610× | accelerator-lowering-fma.f64 |
| 4 994× | *-lowering-*.f32 |
| 4 994× | *-lowering-*.f64 |
| 4 040× | +-lowering-+.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 binary64) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(+ 1 (pow x 2)) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal 1 binary64)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 45 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) #s(literal 30 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 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.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (log.f64 x) (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (fabs.f64 x) x)))) |
(* -1 (log (/ -1 x))) |
(neg.f64 (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (fma.f64 (*.f64 (fabs.f64 x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal -1/6 binary64) x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(+.f64 x (fabs.f64 x)) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(+.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) (fabs.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f64 (fabs.f64 x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(-.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(+.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 x (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(fma.f64 x (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (*.f64 (neg.f64 x) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
Compiled 10 262 to 1 598 computations (84.4% saved)
17 alts after pruning (17 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 334 | 17 | 351 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 335 | 17 | 352 |
| Status | Accuracy | Program |
|---|---|---|
| 53.8% | (copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x) | |
| ▶ | 53.5% | (copysign.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x) |
| 9.7% | (copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x) | |
| 60.8% | (copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) | |
| 8.2% | (copysign.f64 (-.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (log.f64 (*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))))))) x) | |
| 5.1% | (copysign.f64 (-.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) x) | |
| 5.7% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) | |
| ▶ | 66.0% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| 27.1% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) | |
| 25.9% | (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) | |
| ▶ | 25.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| 8.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) | |
| 25.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) | |
| 25.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) | |
| 18.6% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) | |
| ▶ | 8.5% | (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x) |
| ▶ | 8.6% | (copysign.f64 (log.f64 x) x) |
Compiled 720 to 342 computations (52.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | cost-diff | 320 | (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | cost-diff | 1024 | (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x) |
| ✓ | cost-diff | 192 | (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 x) x) |
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (fabs.f64 x)) |
| ✓ | cost-diff | 0 | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| 22 674× | accelerator-lowering-fma.f32 |
| 22 674× | accelerator-lowering-fma.f64 |
| 3 042× | *-lowering-*.f32 |
| 3 042× | *-lowering-*.f64 |
| 1 886× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 310 |
| 1 | 72 | 310 |
| 2 | 188 | 310 |
| 3 | 654 | 287 |
| 4 | 1824 | 287 |
| 5 | 2802 | 287 |
| 6 | 4966 | 287 |
| 7 | 6020 | 287 |
| 8 | 7387 | 287 |
| 9 | 7387 | 287 |
| 10 | 7387 | 287 |
| 0 | 8065 | 258 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(log (+ 1 (fabs x))) |
(fabs x) |
x |
(copysign (log x) x) |
(log x) |
x |
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x) |
(log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) |
(+ 1 (+ (* x (* x 1/2)) (fabs x))) |
1 |
(+ (* x (* x 1/2)) (fabs x)) |
x |
(* x 1/2) |
1/2 |
(fabs x) |
(copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) |
(log (+ (sqrt (+ (* x x) 1)) (fabs x))) |
(+ (sqrt (+ (* x x) 1)) (fabs x)) |
(sqrt (+ (* x x) 1)) |
(+ (* x x) 1) |
x |
1 |
(fabs x) |
(copysign (+ (* x (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))) (log (+ 1 (fabs x)))) x) |
(+ (* x (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))) (log (+ 1 (fabs x)))) |
x |
(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x))))) |
(+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) |
-1/24 |
(* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x))))) |
(/ (* x x) (+ 1 (fabs x))) |
(* x x) |
(+ 1 (fabs x)) |
1 |
(fabs x) |
(+ 3 (/ 3 (+ 1 (fabs x)))) |
3 |
(/ 3 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
1/2 |
(log (+ 1 (fabs x))) |
| Outputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
x |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(log x) |
(log.f64 x) |
x |
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) |
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
(+ 1 (+ (* x (* x 1/2)) (fabs x))) |
(+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ (* x (* x 1/2)) (fabs x)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
x |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(fabs x) |
(fabs.f64 x) |
(copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x) |
(log (+ (sqrt (+ (* x x) 1)) (fabs x))) |
(log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(+ (sqrt (+ (* x x) 1)) (fabs x)) |
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(sqrt (+ (* x x) 1)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(+ (* x x) 1) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(fabs x) |
(fabs.f64 x) |
(copysign (+ (* x (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))) (log (+ 1 (fabs x)))) x) |
(copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x))) x) |
(+ (* x (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))) (log (+ 1 (fabs x)))) |
(fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal 1/2 binary64)) (log1p.f64 (fabs.f64 x))) |
x |
(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) |
(fma.f64 (/.f64 (*.f64 x #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
-1/24 |
#s(literal -1/24 binary64) |
(* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x))))) |
(*.f64 x (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(/ (* x x) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* x x) |
(*.f64 x x) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
1 |
#s(literal 1 binary64) |
(fabs x) |
(fabs.f64 x) |
(+ 3 (/ 3 (+ 1 (fabs x)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
3 |
#s(literal 3 binary64) |
(/ 3 (+ 1 (fabs x))) |
(/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
1/2 |
#s(literal 1/2 binary64) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
| ✓ | accuracy | 99.8% | (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | accuracy | 88.7% | (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
| ✓ | accuracy | 88.7% | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 76.8% | (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 65.0% | (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) |
| ✓ | accuracy | 100.0% | (copysign.f64 (log.f64 x) x) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 100.0% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (fabs.f64 x)) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| 98.0ms | 42× | 1 | valid |
| 41.0ms | 131× | 0 | invalid |
| 27.0ms | 27× | 2 | valid |
| 15.0ms | 46× | 0 | valid |
| 10.0ms | 10× | 3 | valid |
Compiled 287 to 36 computations (87.5% saved)
ival-mult: 69.0ms (48.6% of total)ival-add: 16.0ms (11.3% of total)ival-log: 13.0ms (9.2% of total)ival-copysign: 12.0ms (8.4% of total)ival-log1p: 8.0ms (5.6% of total)ival-div: 7.0ms (4.9% of total)adjust: 7.0ms (4.9% of total)const: 4.0ms (2.8% of total)ival-sqrt: 3.0ms (2.1% of total)ival-fabs: 2.0ms (1.4% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (fabs x)> |
#<alt (copysign (log x) x)> |
#<alt (log x)> |
#<alt (log (+ 1 (+ (* x (* x 1/2)) (fabs x))))> |
#<alt (copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x)> |
#<alt (+ 1 (+ (* x (* x 1/2)) (fabs x)))> |
#<alt (+ (* x (* x 1/2)) (fabs x))> |
#<alt (copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x)> |
#<alt (log (+ (sqrt (+ (* x x) 1)) (fabs x)))> |
#<alt (+ (sqrt (+ (* x x) 1)) (fabs x))> |
#<alt (sqrt (+ (* x x) 1))> |
#<alt (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))> |
#<alt (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x))))> |
#<alt (copysign (+ (* x (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))) (log (+ 1 (fabs x)))) x)> |
#<alt (+ (* x (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))) (log (+ 1 (fabs x))))> |
#<alt (* x 1/2)> |
#<alt (/ (* x x) (+ 1 (fabs x)))> |
#<alt (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))> |
| Outputs |
|---|
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))> |
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))> |
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))> |
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))> |
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2)))))> |
#<alt (fabs x)> |
#<alt (+ (fabs x) (* 1/2 (pow x 2)))> |
#<alt (+ (fabs x) (* 1/2 (pow x 2)))> |
#<alt (+ (fabs x) (* 1/2 (pow x 2)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x)> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))> |
#<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)))))))> |
#<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)))))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))> |
#<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))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))> |
#<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)))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))> |
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))> |
#<alt (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))))> |
#<alt x> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))> |
#<alt (* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* x (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 3) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* -1/24 (/ (* (pow x 3) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<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))))))))> |
#<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))))))))> |
#<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))))))))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))> |
#<alt (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))> |
#<alt (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))> |
#<alt (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))> |
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))> |
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))> |
#<alt (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))> |
#<alt (* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
#<alt (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 82.0ms | x | @ | 0 | (log x) |
| 42.0ms | x | @ | -inf | (log x) |
| 27.0ms | x | @ | 0 | (log (+ 1 (fabs x))) |
| 26.0ms | x | @ | inf | (log (+ 1 (fabs x))) |
| 21.0ms | x | @ | -inf | (log (+ 1 (fabs x))) |
| 1× | batch-egg-rewrite |
| 4 786× | /-lowering-/.f32 |
| 4 786× | /-lowering-/.f64 |
| 4 232× | *-lowering-*.f32 |
| 4 232× | *-lowering-*.f64 |
| 3 514× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 255 |
| 1 | 186 | 255 |
| 2 | 1772 | 255 |
| 0 | 8206 | 229 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(log (+ 1 (fabs x))) |
(fabs x) |
(copysign (log x) x) |
(log x) |
(log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) |
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x) |
(+ 1 (+ (* x (* x 1/2)) (fabs x))) |
(+ (* x (* x 1/2)) (fabs x)) |
(copysign (log (+ (sqrt (+ (* x x) 1)) (fabs x))) x) |
(log (+ (sqrt (+ (* x x) 1)) (fabs x))) |
(+ (sqrt (+ (* x x) 1)) (fabs x)) |
(sqrt (+ (* x x) 1)) |
(* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x))))) |
(+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))) |
(copysign (+ (* x (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))) (log (+ 1 (fabs x)))) x) |
(+ (* x (* x (+ (* -1/24 (* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x)))))) (/ 1/2 (+ 1 (fabs x)))))) (log (+ 1 (fabs x)))) |
(* x 1/2) |
(/ (* x x) (+ 1 (fabs x))) |
(* (/ (* x x) (+ 1 (fabs x))) (+ 3 (/ 3 (+ 1 (fabs x))))) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))) |
(+.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x)))) |
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (-.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(log1p.f64 (fabs.f64 x)) |
(fabs.f64 x) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 (neg.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 x)))) |
(fabs.f64 (-.f64 x #s(literal 0 binary64))) |
(*.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(*.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(copysign.f64 (log.f64 x) x) |
(log.f64 x) |
(log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) |
(+.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))))) |
(-.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log1p.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))) |
(-.f64 (log.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) #s(literal 1 binary64))) (log.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)))) |
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 27 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 27 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))) (neg.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (-.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/3 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x (neg.f64 x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 27 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (neg.f64 (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 9 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (neg.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(*.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) |
(*.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 27 binary64) (/.f64 #s(literal 27 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) #s(literal 9 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 9 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) #s(literal -1 binary64)) (/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| 1× | egg-herbie |
| 12 894× | accelerator-lowering-fma.f32 |
| 12 894× | accelerator-lowering-fma.f64 |
| 4 482× | *-lowering-*.f32 |
| 4 482× | *-lowering-*.f64 |
| 3 226× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 262 | 3335 |
| 1 | 769 | 3209 |
| 2 | 2417 | 3197 |
| 3 | 6320 | 3152 |
| 0 | 8241 | 2877 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs 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 x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log 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)))) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log 1/2) (* -2 (log (/ 1 x)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6))))))) |
(+ (log 1/2) (* -2 (log (/ -1 x)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6))))))) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) 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))))) |
(fabs x) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (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))))) |
(* 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 (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (+ (* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (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 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(* 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) |
(/ (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))) |
| Outputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
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(* (pow x 2) (+ 1/2 (+ (/ 1 (pow x 2)) (/ (fabs x) (pow x 2))))) |
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(fabs x) |
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x |
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(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) |
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) (/.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))) |
(*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
Compiled 50 358 to 5 132 computations (89.8% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 181 | 10 | 1 191 |
| Fresh | 6 | 6 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 189 | 19 | 1 208 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.5% | (copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
| 53.6% | (copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) | |
| ▶ | 4.9% | (copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
| 9.7% | (copysign.f64 (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x)))) x) | |
| ▶ | 60.8% | (copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
| 5.1% | (copysign.f64 (-.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) x) | |
| 13.5% | (copysign.f64 (+.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) | |
| 3.4% | (copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) | |
| 5.7% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) | |
| 56.2% | (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) | |
| ✓ | 66.0% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| 8.5% | (copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) | |
| ▶ | 26.6% | (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) |
| ▶ | 27.1% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| 25.0% | (copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x) | |
| ✓ | 25.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| 25.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) | |
| 18.6% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) | |
| ✓ | 8.6% | (copysign.f64 (log.f64 x) x) |
Compiled 707 to 363 computations (48.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | cost-diff | 1024 | (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) |
| ✓ | cost-diff | 0 | (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) |
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (fabs.f64 x) x) |
| ✓ | cost-diff | 0 | (log.f64 (-.f64 (fabs.f64 x) x)) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
| ✓ | cost-diff | 0 | (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
| ✓ | cost-diff | 64 | (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| 9 494× | accelerator-lowering-fma.f32 |
| 9 494× | accelerator-lowering-fma.f64 |
| 3 544× | *-lowering-*.f32 |
| 3 544× | *-lowering-*.f64 |
| 2 250× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 471 |
| 1 | 97 | 463 |
| 2 | 244 | 463 |
| 3 | 624 | 449 |
| 4 | 1276 | 445 |
| 5 | 2678 | 445 |
| 6 | 3607 | 445 |
| 7 | 5349 | 445 |
| 8 | 7659 | 445 |
| 0 | 8162 | 408 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (- (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))) x) |
(- (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))) |
(log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) |
(+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x))) |
(+ (* x x) 1) |
x |
1 |
(sqrt (+ (* x x) 1)) |
(* x (* x x)) |
(* x x) |
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) |
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) |
(* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) |
(fabs x) |
(- (fabs x) (sqrt (+ (* x x) 1))) |
(copysign (/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x))) x) |
(/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x))) |
(* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) |
(* (* x x) (* x x)) |
(* x x) |
x |
(+ -1/8 (/ -1/8 (+ 1 (fabs x)))) |
-1/8 |
(/ -1/8 (+ 1 (fabs x))) |
(+ 1 (fabs x)) |
1 |
(fabs x) |
(copysign (log (- (fabs x) x)) x) |
(log (- (fabs x) x)) |
(- (fabs x) x) |
(fabs x) |
x |
(copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x) |
(log (- (+ (fabs x) (/ -1/2 x)) x)) |
(- (+ (fabs x) (/ -1/2 x)) x) |
(+ (fabs x) (/ -1/2 x)) |
(fabs x) |
x |
(/ -1/2 x) |
-1/2 |
(copysign (+ (* (* x x) (+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x))))) (log (+ 1 (fabs x)))) x) |
(+ (* (* x x) (+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x))))) (log (+ 1 (fabs x)))) |
(* x x) |
x |
(+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x)))) |
(+ -1/8 (/ -1/8 (+ 1 (fabs x)))) |
-1/8 |
(/ -1/8 (+ 1 (fabs x))) |
(+ 1 (fabs x)) |
1 |
(fabs x) |
(/ (* x x) (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
1/2 |
(log (+ 1 (fabs x))) |
| Outputs |
|---|
(copysign (- (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (neg.f64 (*.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(- (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))) |
(-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (neg.f64 (*.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) |
(log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) |
(+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x))) |
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) |
(+ (* x x) 1) |
(fma.f64 x x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(sqrt (+ (* x x) 1)) |
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) |
(log1p.f64 (neg.f64 (*.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) |
(neg.f64 (*.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) |
(*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(fabs x) |
(fabs.f64 x) |
(- (fabs x) (sqrt (+ (* x x) 1))) |
(-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(copysign (/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/8 binary64) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
x |
(+ -1/8 (/ -1/8 (+ 1 (fabs x)))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
-1/8 |
#s(literal -1/8 binary64) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
1 |
#s(literal 1 binary64) |
(fabs x) |
(fabs.f64 x) |
(copysign (log (- (fabs x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(log (- (fabs x) x)) |
(log.f64 (-.f64 (fabs.f64 x) x)) |
(- (fabs x) x) |
(-.f64 (fabs.f64 x) x) |
(fabs x) |
(fabs.f64 x) |
x |
(copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x) |
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
(log (- (+ (fabs x) (/ -1/2 x)) x)) |
(log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) |
(- (+ (fabs x) (/ -1/2 x)) x) |
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)) |
(+ (fabs x) (/ -1/2 x)) |
(+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) |
(fabs x) |
(fabs.f64 x) |
x |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
(copysign (+ (* (* x x) (+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x))))) (log (+ 1 (fabs x)))) x) |
(copysign.f64 (fma.f64 x (/.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal -1/8 binary64) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x) |
(+ (* (* x x) (+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x))))) (log (+ 1 (fabs x)))) |
(fma.f64 x (/.f64 (*.f64 x (fma.f64 x (*.f64 #s(literal -1/8 binary64) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) |
(* x x) |
(*.f64 x x) |
x |
(+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x)))) |
(fma.f64 x (/.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(+ -1/8 (/ -1/8 (+ 1 (fabs x)))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
-1/8 |
#s(literal -1/8 binary64) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
1 |
#s(literal 1 binary64) |
(fabs x) |
(fabs.f64 x) |
(/ (* x x) (+ 1 (fabs x))) |
(/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
1/2 |
#s(literal 1/2 binary64) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) |
| ✓ | accuracy | 85.5% | (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 99.6% | (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) |
| ✓ | accuracy | 100.0% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| ✓ | accuracy | 100.0% | (-.f64 (fabs.f64 x) x) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 99.6% | (log.f64 (-.f64 (fabs.f64 x) x)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 98.2% | (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 85.5% | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 84.9% | (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
| ✓ | accuracy | 76.7% | (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
| ✓ | accuracy | 76.5% | (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x))) |
| 210.0ms | 107× | 2 | valid |
| 113.0ms | 21× | 4 | valid |
| 79.0ms | 125× | 0 | invalid |
| 2.0ms | 2× | 3 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 450 to 44 computations (90.2% saved)
ival-add: 113.0ms (31% of total)ival-div: 81.0ms (22.2% of total)ival-log: 51.0ms (14% of total)ival-mult: 42.0ms (11.5% of total)adjust: 25.0ms (6.9% of total)ival-copysign: 23.0ms (6.3% of total)ival-sub: 11.0ms (3% of total)ival-log1p: 10.0ms (2.7% of total)ival-sqrt: 5.0ms (1.4% of total)ival-fabs: 3.0ms (0.8% of total)exact: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))> |
#<alt (copysign (- (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))) x)> |
#<alt (- (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))))> |
#<alt (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x))))> |
#<alt (copysign (/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x))) x)> |
#<alt (/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x)))> |
#<alt (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x)))))> |
#<alt (* (* x x) (* x x))> |
#<alt (copysign (log (- (fabs x) x)) x)> |
#<alt (log (- (fabs x) x))> |
#<alt (- (fabs x) x)> |
#<alt (fabs x)> |
#<alt (copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x)> |
#<alt (log (- (+ (fabs x) (/ -1/2 x)) x))> |
#<alt (- (+ (fabs x) (/ -1/2 x)) x)> |
#<alt (+ (fabs x) (/ -1/2 x))> |
#<alt (+ (* (* x x) (+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x))))) (log (+ 1 (fabs x))))> |
#<alt (copysign (+ (* (* x x) (+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x))))) (log (+ 1 (fabs x)))) x)> |
#<alt (* x x)> |
#<alt (+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x))))> |
#<alt (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))> |
#<alt (- (fabs x) (sqrt (+ (* x x) 1)))> |
#<alt (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))> |
#<alt (sqrt (+ (* x x) 1))> |
#<alt (+ -1/8 (/ -1/8 (+ 1 (fabs x))))> |
#<alt (/ (* x x) (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
| Outputs |
|---|
#<alt (* (fabs x) (- (fabs x) 1))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))> |
#<alt (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x))))> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x)> |
#<alt (* -1 (log (+ 1 (* (fabs x) (- (fabs x) 1)))))> |
#<alt (- (* (pow x 2) (- 3/2 (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (+ 1 (* (fabs x) (- (fabs x) 1)))))> |
#<alt (- (* (pow x 2) (- (+ 3/2 x) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (+ 1 (* (fabs x) (- (fabs x) 1)))))> |
#<alt (- (* (pow x 2) (- (+ 3/2 (* x (+ 1 (* -1 (* x (+ 3/4 (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))))))) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (+ 1 (* (fabs x) (- (fabs x) 1)))))> |
#<alt (- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (+ (* -3 (log (/ 1 x))) (/ (fabs x) x))) (* -2 (log (/ 1 x))))> |
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#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
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#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2))))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))> |
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#<alt (fabs x)> |
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#<alt (fabs x)> |
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#<alt (fabs x)> |
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#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
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#<alt (* -1 (log (/ -1 x)))> |
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#<alt (/ -1/2 x)> |
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#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
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#<alt (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))> |
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#<alt (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4)))))> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (copysign (+ (log (+ 1 (fabs x))) (+ (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))) x)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
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#<alt (* (pow x 2) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
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#<alt (* (pow x 2) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt 1> |
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#<alt (+ 1 (* (pow x 2) (+ 3/2 x)))> |
#<alt (+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x))))))> |
#<alt (* 2 (pow x 3))> |
#<alt (* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))))> |
#<alt (* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6)))))> |
#<alt (* -3/2 x)> |
#<alt (* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4)))))> |
#<alt (- (fabs x) 1)> |
#<alt (- (+ (fabs x) (* -1/2 (pow x 2))) 1)> |
#<alt (- (+ (fabs x) (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))) 1)> |
#<alt (- (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2))) 1)> |
#<alt (* -1 x)> |
#<alt (* x (- (/ (fabs x) x) 1))> |
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))> |
#<alt (* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2)))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1)))> |
#<alt (log (+ 1 (* (fabs x) (- (fabs x) 1))))> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))))> |
#<alt (* -2 (log (/ 1 x)))> |
#<alt (+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x)))> |
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))> |
#<alt (+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))))> |
#<alt (* -2 (log (/ -1 x)))> |
#<alt (+ (* -2 (log (/ -1 x))) (/ (fabs x) x))> |
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x)))> |
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))> |
#<alt (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ (pow x 2) (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
#<alt (/ -1/8 (+ 1 (fabs x)))> |
81 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (copysign (/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x))) x) |
| 2.0ms | x | @ | -inf | (- (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))) |
| 1.0ms | x | @ | 0 | (/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x))) |
| 1.0ms | x | @ | 0 | (- (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))) |
| 1.0ms | x | @ | inf | (/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x))) |
| 1× | batch-egg-rewrite |
| 6 308× | *-lowering-*.f32 |
| 6 308× | *-lowering-*.f64 |
| 5 626× | accelerator-lowering-fma.f32 |
| 5 626× | accelerator-lowering-fma.f64 |
| 3 688× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 387 |
| 1 | 274 | 359 |
| 2 | 2649 | 359 |
| 0 | 9327 | 332 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) |
(copysign (- (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))) x) |
(- (log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))) |
(log (+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x)))) |
(copysign (/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x))) x) |
(/ (* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) (+ 1 (fabs x))) |
(* (* (* x x) (* x x)) (+ -1/8 (/ -1/8 (+ 1 (fabs x))))) |
(* (* x x) (* x x)) |
(copysign (log (- (fabs x) x)) x) |
(log (- (fabs x) x)) |
(- (fabs x) x) |
(fabs x) |
(copysign (log (- (+ (fabs x) (/ -1/2 x)) x)) x) |
(log (- (+ (fabs x) (/ -1/2 x)) x)) |
(- (+ (fabs x) (/ -1/2 x)) x) |
(+ (fabs x) (/ -1/2 x)) |
(+ (* (* x x) (+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x))))) (log (+ 1 (fabs x)))) |
(copysign (+ (* (* x x) (+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x))))) (log (+ 1 (fabs x)))) x) |
(* x x) |
(+ (* (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (/ (* x x) (+ 1 (fabs x)))) (/ 1/2 (+ 1 (fabs x)))) |
(+ (* (+ (* x x) 1) (sqrt (+ (* x x) 1))) (* x (* x x))) |
(- (fabs x) (sqrt (+ (* x x) 1))) |
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) |
(sqrt (+ (* x x) 1)) |
(+ -1/8 (/ -1/8 (+ 1 (fabs x)))) |
(/ (* x x) (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
| Outputs |
|---|
(+.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 x x)) |
(+.f64 (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64)) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (-.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) |
(fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x x (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x x (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 x (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 x (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 x (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 x) (fabs.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (fabs.f64 x) (fabs.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)) |
(fma.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fabs.f64 x) (*.f64 x x)) |
(fma.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) |
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(-.f64 (log.f64 (-.f64 (*.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) #s(literal 1 binary64))) (log.f64 (-.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(literal 1 binary64)))) |
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(log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x)))) |
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(sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))) |
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(/.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x))))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/8 binary64)) |
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/8 binary64)) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/8 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal -1/8 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/8 binary64) #s(literal -1/8 binary64)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64)) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1/8 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/64 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/512 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/512 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/64 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(/.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/512 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/512 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/64 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (neg.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) #s(literal 1/64 binary64)) (-.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/8 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/64 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/512 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1/512 binary64) (/.f64 #s(literal -1/512 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/64 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/64 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal 1/64 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) |
(*.f64 (-.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (*.f64 x (neg.f64 x)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(pow.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/8 binary64) (neg.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1/8 binary64) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64)))) |
(pow.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -8 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(*.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) #s(literal -1/8 binary64)) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) |
(*.f64 (/.f64 #s(literal -1/8 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| 1× | egg-herbie |
| 13 234× | accelerator-lowering-fma.f32 |
| 13 234× | accelerator-lowering-fma.f64 |
| 5 628× | *-lowering-*.f32 |
| 5 628× | *-lowering-*.f64 |
| 3 486× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 577 | 5168 |
| 1 | 1717 | 4899 |
| 2 | 5487 | 4716 |
| 0 | 8258 | 4431 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (fabs x) (- (fabs x) 1)) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))) |
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(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2)))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (fabs x) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x)))) |
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(pow x 4) |
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(copysign (log (- (fabs x) x)) x) |
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(fabs x) |
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(+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) |
(* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 2) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
1 |
(+ 1 (* 3/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 3/2 x))) |
(+ 1 (* (pow x 2) (+ 3/2 (* x (+ 1 (* 3/8 x)))))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 3/2 (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2)))))) |
(* (pow x 3) (- (+ 2 (+ (/ 3/8 (pow x 4)) (* 3/2 (/ 1 (pow x 2))))) (* 1/16 (/ 1 (pow x 6))))) |
(* -3/2 x) |
(* -1 (* x (+ 3/2 (* 3/8 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 3/2 (* 3/8 (/ 1 (pow x 2)))) (/ 1/16 (pow x 4))))) |
(* -1 (* x (- (+ 3/2 (+ (* 3/8 (/ 1 (pow x 2))) (* 3/128 (/ 1 (pow x 6))))) (/ 1/16 (pow x 4))))) |
(- (fabs x) 1) |
(- (+ (fabs x) (* -1/2 (pow x 2))) 1) |
(- (+ (fabs x) (* (pow x 2) (- (* 1/8 (pow x 2)) 1/2))) 1) |
(- (+ (fabs x) (* (pow x 2) (- (* (pow x 2) (+ 1/8 (* -1/16 (pow x 2)))) 1/2))) 1) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2))))) |
(* x (- (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)) (+ 1 (/ 1/2 (pow x 2))))) |
x |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* -1 (/ (- (* 1/8 (/ 1 (pow x 2))) 1/2) x))) x)) 1))) |
(log (+ 1 (* (fabs x) (- (fabs x) 1)))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/24 (* (pow x 2) (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1)))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))))) |
(* -2 (log (/ 1 x))) |
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))) |
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))) |
(* -2 (log (/ -1 x))) |
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x)) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x))) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x))) |
1 |
(+ 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 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 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))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
(/ -1/8 (+ 1 (fabs x))) |
| Outputs |
|---|
(* (fabs x) (- (fabs x) 1)) |
(-.f64 (*.f64 x x) (fabs.f64 x)) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) |
(fma.f64 x (*.f64 x (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fabs.f64 x))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))) |
(fma.f64 x (*.f64 x (fma.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal 1/8 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fabs.f64 x))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal -1/16 binary64)) #s(literal 1/8 binary64))) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fabs.f64 x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x)))) |
(*.f64 x (-.f64 x (fabs.f64 x))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2))))) |
(fma.f64 x (-.f64 x (fabs.f64 x)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (/ (pow (fabs x) 2) (pow x 2)))))) |
(fma.f64 x (-.f64 x (fabs.f64 x)) (*.f64 (*.f64 x x) (fma.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (fabs x) x))) |
(fma.f64 x x (*.f64 x (fabs.f64 x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x)))) |
(fma.f64 x x (fma.f64 x x (*.f64 x (fabs.f64 x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 (/.f64 (fabs.f64 x) x) #s(literal 1/2 binary64) (*.f64 x x)) x)) x))) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (+ (sqrt (pow (+ 1 (pow x 2)) 3)) (pow x 3))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(copysign (- (log (- (sqrt (pow (+ 1 (pow x 2)) 3)) (* -1 (pow x 3)))) (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 x (*.f64 x x) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))))) (log1p.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) x) |
(* -1 (log (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(neg.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))) |
(- (* (pow x 2) (- 3/2 (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(fma.f64 (*.f64 x x) (-.f64 #s(literal 3/2 binary64) (fma.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))) |
(- (* (pow x 2) (- (+ 3/2 x) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 3/2 binary64) (-.f64 x (fma.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))))))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))) |
(- (* (pow x 2) (- (+ 3/2 (* x (+ 1 (* -1 (* x (+ 3/4 (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))))))) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))))) (log (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))) #s(literal 3/4 binary64))) (neg.f64 x) #s(literal 1 binary64)) (-.f64 #s(literal 3/2 binary64) (fma.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))))))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))))) |
(- (+ (log 2) (* -3 (log (/ 1 x)))) (* -2 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(- (+ (log 2) (+ (* -3 (log (/ 1 x))) (/ (fabs x) x))) (* -2 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (fabs.f64 x) x) (log.f64 x))) |
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(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))))) (fma.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3))))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))) #s(literal -45 binary64) (fma.f64 #s(literal 240 binary64) (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))))) (/.f64 (*.f64 #s(literal -90 binary64) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (fabs.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))))))) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))))) (*.f64 #s(literal 1/8 binary64) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))))))) (fma.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))) |
(* -2 (log (/ 1 x))) |
(*.f64 #s(literal 2 binary64) (log.f64 x)) |
(+ (* -2 (log (/ 1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (fabs.f64 x) x)) |
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))) (/.f64 (fabs.f64 x) x)) |
(+ (* -2 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2)))))) |
(fma.f64 #s(literal 2 binary64) (log.f64 x) (fma.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal -3 binary64) (fma.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (fabs.f64 x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 6 binary64))))) (*.f64 x (*.f64 x x))) #s(literal 1/6 binary64) (-.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (fabs.f64 x) x)))) |
(* -2 (log (/ -1 x))) |
(*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -2 (log (/ -1 x))) (/ (fabs x) x)) |
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fabs.f64 x) x)) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) x))) x))) |
(-.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1 binary64))) x)) (fabs.f64 x)) x)) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) x)) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x))) |
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (fabs.f64 x) #s(literal -3 binary64) (fma.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (fabs.f64 x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 6 binary64))))) x) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal 1 binary64)))) x)) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(+.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (*.f64 (neg.f64 x) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(*.f64 (neg.f64 x) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(* -1 (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (/.f64 x (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
Compiled 67 982 to 5 868 computations (91.4% saved)
28 alts after pruning (21 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 631 | 12 | 1 643 |
| Fresh | 2 | 9 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 634 | 28 | 1 662 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 53.5% | (copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
| 4.9% | (copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) | |
| 4.0% | (copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) | |
| 4.9% | (copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) | |
| 52.4% | (copysign.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) | |
| ✓ | 60.8% | (copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
| 5.1% | (copysign.f64 (-.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) x) | |
| 13.5% | (copysign.f64 (+.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) | |
| 4.9% | (copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) | |
| 3.8% | (copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) | |
| 4.0% | (copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) | |
| 4.9% | (copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) | |
| ▶ | 4.9% | (copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
| ▶ | 3.4% | (copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
| 4.9% | (copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) | |
| ▶ | 4.9% | (copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
| 5.7% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) | |
| ▶ | 56.2% | (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
| ✓ | 66.0% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| 8.5% | (copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) | |
| 26.2% | (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) | |
| ✓ | 26.6% | (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) |
| ✓ | 27.1% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| ▶ | 25.0% | (copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x) |
| ✓ | 25.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| 25.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) | |
| 18.6% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) | |
| ✓ | 8.6% | (copysign.f64 (log.f64 x) x) |
Compiled 1 095 to 574 computations (47.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x)) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
| ✓ | cost-diff | 192 | (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) |
| ✓ | cost-diff | 1472 | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) |
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
| ✓ | cost-diff | 0 | (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
| 10 986× | accelerator-lowering-fma.f32 |
| 10 986× | accelerator-lowering-fma.f64 |
| 5 534× | *-lowering-*.f32 |
| 5 534× | *-lowering-*.f64 |
| 1 618× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 427 |
| 1 | 107 | 409 |
| 2 | 301 | 409 |
| 3 | 899 | 399 |
| 4 | 2096 | 399 |
| 5 | 3481 | 396 |
| 6 | 4438 | 396 |
| 7 | 5901 | 396 |
| 8 | 6946 | 396 |
| 0 | 8121 | 384 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x) |
(log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) |
(+ (* x (* x 1/2)) (fabs x)) |
x |
(* x 1/2) |
1/2 |
(fabs x) |
(copysign (* x (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)))) x) |
(* x (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)))) |
x |
(* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1))) |
(* x (* x x)) |
(* x x) |
(/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)) |
(+ -1/8 (/ -1/8 (+ (fabs x) 1))) |
-1/8 |
(/ -1/8 (+ (fabs x) 1)) |
(+ (fabs x) 1) |
(fabs x) |
1 |
(copysign (* (/ 1 (+ (fabs x) 1)) (* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1))))) x) |
(* (/ 1 (+ (fabs x) 1)) (* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1))))) |
(/ 1 (+ (fabs x) 1)) |
1 |
(+ (fabs x) 1) |
(fabs x) |
x |
(* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1)))) |
(* x (* x (* x x))) |
(* x (* x x)) |
(* x x) |
(+ -1/8 (/ -1/8 (+ (fabs x) 1))) |
-1/8 |
(/ -1/8 (+ (fabs x) 1)) |
(copysign (* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))) x) |
(* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))) |
(* (* x x) (* x x)) |
(* x x) |
x |
(+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x)))) |
(/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) |
(+ -1/8 (/ -1/8 (+ 1 (fabs x)))) |
-1/8 |
(/ -1/8 (+ 1 (fabs x))) |
(+ 1 (fabs x)) |
1 |
(fabs x) |
(/ 1/2 (* x (+ (* x (fabs x)) x))) |
1/2 |
(* x (+ (* x (fabs x)) x)) |
(+ (* x (fabs x)) x) |
(copysign (log (+ (+ x (/ 1/2 x)) (fabs x))) x) |
(log (+ (+ x (/ 1/2 x)) (fabs x))) |
(+ (+ x (/ 1/2 x)) (fabs x)) |
(+ x (/ 1/2 x)) |
x |
(/ 1/2 x) |
1/2 |
(fabs x) |
| Outputs |
|---|
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) |
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
(+ (* x (* x 1/2)) (fabs x)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
x |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(fabs x) |
(fabs.f64 x) |
(copysign (* x (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(* x (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
x |
(* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ -1/8 (/ -1/8 (+ (fabs x) 1))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
-1/8 |
#s(literal -1/8 binary64) |
(/ -1/8 (+ (fabs x) 1)) |
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ (fabs x) 1) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
1 |
#s(literal 1 binary64) |
(copysign (* (/ 1 (+ (fabs x) 1)) (* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1))))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(* (/ 1 (+ (fabs x) 1)) (* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/ 1 (+ (fabs x) 1)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ (fabs x) 1) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
x |
(* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* x (* x (* x x))) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
(+ -1/8 (/ -1/8 (+ (fabs x) 1))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
-1/8 |
#s(literal -1/8 binary64) |
(/ -1/8 (+ (fabs x) 1)) |
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(copysign (* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))) x) |
(copysign.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (fma.f64 x (*.f64 #s(literal -1/8 binary64) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) #s(literal 1/2 binary64)))) x) |
(* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (fma.f64 x (*.f64 #s(literal -1/8 binary64) (+.f64 x (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) #s(literal 1/2 binary64)))) |
(* (* x x) (* x x)) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
x |
(+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal -1/8 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ -1/8 (/ -1/8 (+ 1 (fabs x)))) |
(+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
-1/8 |
#s(literal -1/8 binary64) |
(/ -1/8 (+ 1 (fabs x))) |
(/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
1 |
#s(literal 1 binary64) |
(fabs x) |
(fabs.f64 x) |
(/ 1/2 (* x (+ (* x (fabs x)) x))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ (* x (fabs x)) x)) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(+ (* x (fabs x)) x) |
(fma.f64 x (fabs.f64 x) x) |
(copysign (log (+ (+ x (/ 1/2 x)) (fabs x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
(log (+ (+ x (/ 1/2 x)) (fabs x))) |
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) |
(+ (+ x (/ 1/2 x)) (fabs x)) |
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
(+ x (/ 1/2 x)) |
(+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
x |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
(fabs x) |
(fabs.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x)) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (fma.f64 x (fabs.f64 x) x)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
| ✓ | accuracy | 79.9% | (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 98.9% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 97.8% | (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 88.3% | (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
| 45.0ms | 125× | 0 | valid |
| 41.0ms | 131× | 0 | invalid |
Compiled 444 to 43 computations (90.3% saved)
ival-mult: 19.0ms (29.3% of total)ival-add: 15.0ms (23.1% of total)ival-div: 14.0ms (21.6% of total)ival-copysign: 9.0ms (13.9% of total)ival-log1p: 3.0ms (4.6% of total)ival-log: 2.0ms (3.1% of total)ival-fabs: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x)> |
#<alt (log (+ 1 (+ (* x (* x 1/2)) (fabs x))))> |
#<alt (+ (* x (* x 1/2)) (fabs x))> |
#<alt (* x 1/2)> |
#<alt (copysign (* x (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)))) x)> |
#<alt (* x (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1))))> |
#<alt (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)))> |
#<alt (* x (* x x))> |
#<alt (* (/ 1 (+ (fabs x) 1)) (* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1)))))> |
#<alt (copysign (* (/ 1 (+ (fabs x) 1)) (* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1))))) x)> |
#<alt (/ 1 (+ (fabs x) 1))> |
#<alt (+ (fabs x) 1)> |
#<alt (* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x)))))> |
#<alt (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))> |
#<alt (copysign (* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))) x)> |
#<alt (* (* x x) (* x x))> |
#<alt (copysign (log (+ (+ x (/ 1/2 x)) (fabs x))) x)> |
#<alt (log (+ (+ x (/ 1/2 x)) (fabs x)))> |
#<alt (+ (+ x (/ 1/2 x)) (fabs x))> |
#<alt (+ x (/ 1/2 x))> |
#<alt (fabs x)> |
#<alt (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1))> |
#<alt (* x (* x (* x x)))> |
#<alt (* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1))))> |
#<alt (/ 1/2 (* x (+ (* x (fabs x)) x)))> |
#<alt (* x (+ (* x (fabs x)) x))> |
| Outputs |
|---|
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x)> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))))> |
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (+ (log 1/2) (* -2 (log (/ 1 x))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))> |
#<alt (+ (log 1/2) (* -2 (log (/ -1 x))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))))> |
#<alt (+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6)))))))> |
#<alt (fabs x)> |
#<alt (+ (fabs x) (* 1/2 (pow x 2)))> |
#<alt (+ (fabs x) (* 1/2 (pow x 2)))> |
#<alt (+ (fabs x) (* 1/2 (pow x 2)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2))))> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (* 1/2 x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x)> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (/ 1 (+ 1 (fabs x)))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))))> |
#<alt (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x))))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1))))))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1))))))> |
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1))))))> |
#<alt (/ 1/2 (* (pow x 2) (+ 1 (fabs x))))> |
#<alt (/ (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) (pow x 2))> |
#<alt (/ (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) (pow x 2))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))> |
#<alt (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))> |
#<alt (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1)))))> |
#<alt (- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1)))))> |
#<alt (- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1)))))> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (- (* x (fabs x)) (* -1 x))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (- (* x (fabs x)) (* -1 x))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (- (* x (fabs x)) (* -1 x))))))) x)> |
#<alt (copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (- (* x (fabs x)) (* -1 x))))))) x)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)> |
#<alt (+ (log 1/2) (* -1 (log x)))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))> |
#<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))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* x (fabs x))) x)> |
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)> |
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)> |
#<alt x> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))> |
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (pow x 2)) x)> |
#<alt (/ (+ 1/2 (pow x 2)) x)> |
#<alt (/ (+ 1/2 (pow x 2)) x)> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (/ 1/2 (* (pow x 2) (+ 1 (fabs x))))> |
#<alt (/ 1/2 (* (pow x 2) (+ 1 (fabs x))))> |
#<alt (/ 1/2 (* (pow x 2) (+ 1 (fabs x))))> |
#<alt (/ 1/2 (* (pow x 2) (+ 1 (fabs x))))> |
#<alt (/ 1/2 (* (pow x 2) (+ 1 (fabs x))))> |
#<alt (/ 1/2 (* (pow x 2) (+ 1 (fabs x))))> |
#<alt (/ 1/2 (* (pow x 2) (+ 1 (fabs x))))> |
#<alt (/ 1/2 (* (pow x 2) (+ 1 (fabs x))))> |
#<alt (/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1)))> |
#<alt (/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1)))> |
#<alt (/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1)))> |
#<alt (/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1)))> |
#<alt (* (pow x 2) (+ 1 (fabs x)))> |
#<alt (* (pow x 2) (+ 1 (fabs x)))> |
#<alt (* (pow x 2) (+ 1 (fabs x)))> |
#<alt (* (pow x 2) (+ 1 (fabs x)))> |
#<alt (* (pow x 2) (+ 1 (fabs x)))> |
#<alt (* (pow x 2) (+ 1 (fabs x)))> |
#<alt (* (pow x 2) (+ 1 (fabs x)))> |
#<alt (* (pow x 2) (+ 1 (fabs x)))> |
#<alt (* -1 (* (pow x 2) (- (* -1 (fabs x)) 1)))> |
#<alt (* -1 (* (pow x 2) (- (* -1 (fabs x)) 1)))> |
#<alt (* -1 (* (pow x 2) (- (* -1 (fabs x)) 1)))> |
#<alt (* -1 (* (pow x 2) (- (* -1 (fabs x)) 1)))> |
78 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1))) |
| 1.0ms | x | @ | -inf | (* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))) |
| 1.0ms | x | @ | inf | (* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))) |
| 1.0ms | x | @ | 0 | (* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))) |
| 1.0ms | x | @ | 0 | (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1))) |
| 1× | batch-egg-rewrite |
| 7 594× | accelerator-lowering-fma.f32 |
| 7 594× | accelerator-lowering-fma.f64 |
| 5 448× | /-lowering-/.f32 |
| 5 448× | /-lowering-/.f64 |
| 4 878× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 321 |
| 1 | 273 | 303 |
| 2 | 2458 | 298 |
| 0 | 9777 | 286 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) x) |
(log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) |
(+ (* x (* x 1/2)) (fabs x)) |
(* x 1/2) |
(copysign (* x (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)))) x) |
(* x (* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)))) |
(* (* x (* x x)) (/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1))) |
(* x (* x x)) |
(* (/ 1 (+ (fabs x) 1)) (* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1))))) |
(copysign (* (/ 1 (+ (fabs x) 1)) (* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1))))) x) |
(/ 1 (+ (fabs x) 1)) |
(+ (fabs x) 1) |
(* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))) |
(+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x)))) |
(copysign (* (* (* x x) (* x x)) (+ (/ (+ -1/8 (/ -1/8 (+ 1 (fabs x)))) (+ 1 (fabs x))) (/ 1/2 (* x (+ (* x (fabs x)) x))))) x) |
(* (* x x) (* x x)) |
(copysign (log (+ (+ x (/ 1/2 x)) (fabs x))) x) |
(log (+ (+ x (/ 1/2 x)) (fabs x))) |
(+ (+ x (/ 1/2 x)) (fabs x)) |
(+ x (/ 1/2 x)) |
(fabs x) |
(/ (+ -1/8 (/ -1/8 (+ (fabs x) 1))) (+ (fabs x) 1)) |
(* x (* x (* x x))) |
(* (* x (* x (* x x))) (+ -1/8 (/ -1/8 (+ (fabs x) 1)))) |
(/ 1/2 (* x (+ (* x (fabs x)) x))) |
(* x (+ (* x (fabs x)) x)) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(log.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(+.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))))) |
(-.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) (log.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) (log1p.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))))) |
(-.f64 (log.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) #s(literal 1 binary64))) (log.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) (*.f64 x x))) (log.f64 (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (fabs.f64 x)))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (-.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))))))) |
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x)) |
(+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+.f64 (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 (fabs.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (fabs.f64 x)) |
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x)) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fabs.f64 x)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (fabs.f64 x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) (fabs.f64 x)) |
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fabs.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))) |
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(*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) (*.f64 x x)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) (*.f64 x (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x x (fabs.f64 x)))))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x x (fabs.f64 x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 x (fma.f64 x x (fabs.f64 x))))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 x x (fabs.f64 x))))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (fma.f64 x x (fabs.f64 x)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x) |
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (neg.f64 (fma.f64 x x (fabs.f64 x))))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x)))) (neg.f64 x)) |
(pow.f64 (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x)))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x x (fabs.f64 x)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (fma.f64 x x (fabs.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (-.f64 x (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (fma.f64 x (fabs.f64 x) (neg.f64 x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fabs.f64 x) (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fabs.f64 x) (neg.f64 x))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fabs.f64 x) (neg.f64 x))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fabs.f64 x) (neg.f64 x))))) |
(+.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 x x (*.f64 x (*.f64 x x))) |
(fma.f64 x (*.f64 x x) (*.f64 x x)) |
(fma.f64 x (*.f64 x (fabs.f64 x)) (*.f64 x x)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x (*.f64 x x))) |
(fma.f64 (fabs.f64 x) (*.f64 x x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(fma.f64 (*.f64 x x) (fabs.f64 x) (*.f64 x x)) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x (fabs.f64 x)) x (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x (*.f64 x x))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x (*.f64 x x))) |
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (*.f64 x x))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x (*.f64 x x))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (-.f64 x (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (fma.f64 x (fabs.f64 x) (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) x) (fma.f64 x (-.f64 x (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) x) (fma.f64 x (fabs.f64 x) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)))) (neg.f64 (fma.f64 x (fabs.f64 x) (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) x)) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) x)) (neg.f64 (fma.f64 x (fabs.f64 x) (neg.f64 x)))) |
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(*.f64 x (fma.f64 x x (fabs.f64 x))) |
(*.f64 (fma.f64 x x (fabs.f64 x)) x) |
| 1× | egg-herbie |
| 8 490× | accelerator-lowering-fma.f32 |
| 8 490× | accelerator-lowering-fma.f64 |
| 4 774× | *-lowering-*.f32 |
| 4 774× | *-lowering-*.f64 |
| 2 288× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 4027 |
| 1 | 668 | 3953 |
| 2 | 1886 | 3857 |
| 3 | 5187 | 3797 |
| 0 | 8679 | 3645 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (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) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (- (* 1/24 (/ (pow x 2) (pow (+ 1 (fabs x)) 3))) (* 1/8 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log 1/2) (* -2 (log (/ 1 x)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6))))))) |
(+ (log 1/2) (* -2 (log (/ -1 x)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (+ (* 2 (/ (+ 1 (fabs x)) (pow x 2))) (* 8/3 (/ (pow (+ 1 (fabs x)) 3) (pow x 6))))))) |
(fabs x) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(* 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) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 3) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs 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 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(copysign (* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) x) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(/ 1 (+ 1 (fabs x))) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(+ 1 (fabs x)) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) |
(* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) |
(* (pow x 2) (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x)))))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* -1 (/ (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1)))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1)))))) |
(* (pow x 4) (- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1)))))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/ (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) (pow x 2)) |
(/ (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) (pow x 2)) |
(/ (+ (* -1 (/ (* (pow x 2) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) (pow x 2)) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))) |
(+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))) |
(+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x)))))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1))))) |
(- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1))))) |
(- (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (- (* -1 (fabs x)) 1))))) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (+ x (* x (fabs x)))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (- (* x (fabs x)) (* -1 x))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (- (* x (fabs x)) (* -1 x))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (- (* x (fabs x)) (* -1 x))))))) x) |
(copysign (* (pow x 4) (+ (* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* x (- (* x (fabs x)) (* -1 x))))))) x) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x) |
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x) |
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x) |
(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x) |
(+ (log 1/2) (* -1 (log x))) |
(+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x))))) |
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x)))))) |
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2)))))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x)))) |
(/ 1/2 x) |
(/ (+ 1/2 (* x (fabs x))) x) |
(/ (+ 1/2 (* x (+ x (fabs x)))) x) |
(/ (+ 1/2 (* x (+ x (fabs x)))) x) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
x |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1))) |
(/ 1/2 x) |
(/ (+ 1/2 (pow x 2)) x) |
(/ (+ 1/2 (pow x 2)) x) |
(/ (+ 1/2 (pow x 2)) x) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(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 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(* (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 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(* -1 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(* -1 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(* -1 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
| Outputs |
|---|
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (+ 1 (fabs x)) 2))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) |
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(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(* -1 (/ (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (-.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(pow x 4) |
(*.f64 (*.f64 x x) (*.f64 x x)) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(* -1 (* (pow x 4) (+ 1/8 (* 1/8 (/ 1 (+ 1 (fabs x))))))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(/ -1/2 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))) |
(* (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* (pow x 2) (+ 1 (fabs x))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* -1 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* -1 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* -1 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
(* -1 (* (pow x 2) (- (* -1 (fabs x)) 1))) |
(*.f64 x (fma.f64 x (fabs.f64 x) x)) |
Compiled 80 648 to 5 880 computations (92.7% saved)
26 alts after pruning (17 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 241 | 9 | 2 250 |
| Fresh | 8 | 8 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 2 252 | 26 | 2 278 |
| Status | Accuracy | Program |
|---|---|---|
| 2.3% | (copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) | |
| ✓ | 53.5% | (copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
| 5.9% | (copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) | |
| 52.4% | (copysign.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) | |
| ✓ | 60.8% | (copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
| 5.1% | (copysign.f64 (-.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) x) | |
| 13.5% | (copysign.f64 (+.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) | |
| 3.6% | (copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) | |
| 3.6% | (copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) | |
| 3.4% | (copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) | |
| 2.6% | (copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) | |
| 3.4% | (copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) | |
| 2.9% | (copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) | |
| 3.6% | (copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) | |
| 5.7% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) | |
| ✓ | 56.2% | (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
| ✓ | 66.0% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| 8.5% | (copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) | |
| 26.2% | (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) | |
| ✓ | 26.6% | (copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) |
| ✓ | 27.1% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| ✓ | 25.0% | (copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x) |
| ✓ | 25.4% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
| 25.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) | |
| 18.6% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) | |
| ✓ | 8.6% | (copysign.f64 (log.f64 x) x) |
Compiled 1 712 to 541 computations (68.4% saved)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x) |
(copysign.f64 (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) |
(copysign.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (*.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (fma.f64 x x (fma.f64 x x #s(literal 1 binary64))))) x) |
(copysign.f64 (+.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (log.f64 (*.f64 (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x (*.f64 x x)))))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
2 calls:
| 14.0ms | x |
| 12.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
| 99.5% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x) |
(copysign.f64 (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) |
(copysign.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (log1p.f64 (fabs.f64 x))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
2 calls:
| 33.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 3 | x |
| 99.3% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x) |
(copysign.f64 (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) |
(copysign.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 x (/.f64 (*.f64 x #s(literal -1/8 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
2 calls:
| 12.0ms | x |
| 10.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 99.2% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (-.f64 (neg.f64 (/.f64 (fabs.f64 x) x)) (neg.f64 (log.f64 (neg.f64 x)))) x) |
(copysign.f64 (-.f64 (/.f64 (fabs.f64 x) (neg.f64 x)) (neg.f64 (log.f64 (neg.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x) |
(copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
2 calls:
| 32.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 3 | x |
| 99.2% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) |
(copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
2 calls:
| 23.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 3 | x |
| 99.1% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
2 calls:
| 8.0ms | x |
| 7.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
| 98.5% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
2 calls:
| 30.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 3 | x |
| 98.1% | 3 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
2 calls:
| 8.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.6% | 2 | x |
| 81.6% | 2 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
2 calls:
| 8.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.0% | 1 | x |
| 66.0% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (fabs.f64 x)) (*.f64 x #s(literal 2 binary64))))) x) |
| Outputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 x) x) |
2 calls:
| 10.0ms | x |
| 6.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.8% | 2 | x |
| 11.8% | 2 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
Total -2.4b remaining (-4.1%)
Threshold costs -2.4b (-4.1%)
| Inputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x)))) x) |
(copysign.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (*.f64 x (*.f64 x x))) x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) #s(literal -1/8 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x)))))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fabs.f64 x) x))))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) x) (*.f64 x (*.f64 x x))) x) |
(copysign.f64 (*.f64 (*.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x x (fabs.f64 x))))) (*.f64 x (*.f64 x x))) x) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x x) x (*.f64 x x))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 x x (fabs.f64 x))) x))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
| Outputs |
|---|
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
2 calls:
| 6.0ms | x |
| 5.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 5.9% | 1 | x |
| 5.9% | 1 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
Compiled 15 to 10 computations (33.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 15.395150648495669 | 17.94324352910705 |
| 0.0ms | -10.596464885317975 | -2.9016266967854245e-8 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16032477037693105 | 2.942236928779247 |
| 0.0ms | -10.596464885317975 | -2.9016266967854245e-8 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16032477037693105 | 2.942236928779247 |
| 0.0ms | -10.596464885317975 | -2.9016266967854245e-8 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16032477037693105 | 2.942236928779247 |
| 0.0ms | -10.596464885317975 | -2.9016266967854245e-8 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16032477037693105 | 2.942236928779247 |
| 0.0ms | -10.596464885317975 | -2.9016266967854245e-8 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16032477037693105 | 2.942236928779247 |
| 0.0ms | -10.596464885317975 | -2.9016266967854245e-8 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16032477037693105 | 2.942236928779247 |
| 0.0ms | -10.596464885317975 | -2.9016266967854245e-8 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.16032477037693105 | 2.942236928779247 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.015125153961506694 | 0.16032477037693105 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 28× | +-commutative_binary64 |
| 18× | *-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 86 | 514 |
| 1 | 109 | 514 |
| 2 | 120 | 514 |
| 3 | 126 | 514 |
| 4 | 129 | 514 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 16 binary64)) (copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/288230376151711744 binary64)) (copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (copysign.f64 (log.f64 x) x)) |
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
| Outputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 16 binary64)) (copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 16 binary64)) (copysign.f64 (-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (fma.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) (log1p.f64 (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -3/4 binary64) #s(literal 1 binary64)) #s(literal 3/2 binary64)))) (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -10 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x))) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x)) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 3602879701896397/18014398509481984 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (+.f64 x (fabs.f64 x))) x)) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/288230376151711744 binary64)) (copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) (copysign.f64 (log.f64 x) x)) |
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal 5764607523034235/288230376151711744 binary64)) (copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) (copysign.f64 (log.f64 x) x)) |
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| 24 610× | accelerator-lowering-fma.f32 |
| 24 610× | accelerator-lowering-fma.f64 |
| 13 234× | accelerator-lowering-fma.f32 |
| 13 234× | accelerator-lowering-fma.f64 |
| 12 894× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 577 | 5168 |
| 1 | 1717 | 4899 |
| 2 | 5487 | 4716 |
| 0 | 8258 | 4431 |
| 0 | 9 | 44 |
| 1 | 44 | 44 |
| 2 | 317 | 44 |
| 3 | 3420 | 44 |
| 0 | 8354 | 39 |
| 0 | 243 | 4027 |
| 1 | 668 | 3953 |
| 2 | 1886 | 3857 |
| 3 | 5187 | 3797 |
| 0 | 8679 | 3645 |
| 0 | 169 | 782 |
| 1 | 490 | 754 |
| 2 | 1511 | 741 |
| 3 | 5413 | 691 |
| 0 | 8421 | 635 |
| 0 | 34 | 255 |
| 1 | 186 | 255 |
| 2 | 1772 | 255 |
| 0 | 8206 | 229 |
| 0 | 262 | 3335 |
| 1 | 769 | 3209 |
| 2 | 2417 | 3197 |
| 3 | 6320 | 3152 |
| 0 | 8241 | 2877 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 827 to 297 computations (64.1% saved)
Compiled 1 098 to 210 computations (80.9% saved)
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