Rust f64::asinh
Time bar (total: 11.3s)
| 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)
| 258.0ms | 8 256× | 0 | valid |
ival-asinh: 94.0ms (91.9% of total)ival-true: 6.0ms (5.9% of total)ival-assert: 3.0ms (2.9% 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 |
|---|---|---|---|---|---|
| 116 | 0 | - | 0 | - | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 76 | 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 | 116 | 0 |
sqrt.f64 | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 76 | 0 |
| ↳ | (*.f64 x x) | overflow | 76 | |
| ↳ | (+.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 76 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 192 | 0 |
| - | 0 | 64 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 192 | 0 | 0 |
| - | 0 | 0 | 64 |
| number | freq |
|---|---|
| 0 | 64 |
| 1 | 192 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 148× | 1 | valid |
| 29.0ms | 292× | 0 | valid |
| 29.0ms | 62× | 2 | valid |
| 6.0ms | 10× | 3 | valid |
Compiled 128 to 40 computations (68.8% saved)
ival-log: 60.0ms (55.1% of total)ival-hypot: 16.0ms (14.7% of total)ival-copysign: 8.0ms (7.3% of total)ival-add: 8.0ms (7.3% of total)adjust: 7.0ms (6.4% of total)ival-fabs: 4.0ms (3.7% of total)ival-mult: 4.0ms (3.7% 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 |
|---|---|---|
| ▶ | 29.7% | (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 | 72.4% | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | accuracy | 58.4% | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 39.0ms | 74× | 1 | valid |
| 15.0ms | 146× | 0 | valid |
| 14.0ms | 31× | 2 | valid |
| 5.0ms | 5× | 3 | valid |
Compiled 51 to 11 computations (78.4% saved)
adjust: 25.0ms (39.7% of total)ival-log: 15.0ms (23.8% of total)ival-hypot: 8.0ms (12.7% of total)ival-copysign: 6.0ms (9.5% of total)ival-add: 6.0ms (9.5% of total)ival-fabs: 2.0ms (3.2% of total)ival-mult: 2.0ms (3.2% 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))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
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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)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 337 | 14 | 351 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 338 | 14 | 352 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.1% | (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) |
| 47.7% | (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) | |
| 6.0% | (copysign.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (*.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))))))) x) | |
| ▶ | 68.6% | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (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)))))) x) |
| 6.7% | (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) | |
| 61.7% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) | |
| ▶ | 34.7% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| 33.7% | (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) | |
| 29.7% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| 9.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) | |
| ▶ | 23.3% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
| 23.7% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) | |
| 9.5% | (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x) | |
| ▶ | 7.9% | (copysign.f64 (log.f64 x) x) |
Compiled 510 to 260 computations (49% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x 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 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (log1p.f64 (fabs.f64 x))) x) |
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) 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 | (log.f64 x) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 x) x) |
| ✓ | cost-diff | 0 | (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (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)))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (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)))))) x) |
| ✓ | cost-diff | 64 | (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | cost-diff | 64 | (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
| 2 688× | accelerator-lowering-fma.f32 |
| 2 688× | accelerator-lowering-fma.f64 |
| 1 248× | *-lowering-*.f32 |
| 1 248× | *-lowering-*.f64 |
| 946× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 378 |
| 1 | 61 | 378 |
| 2 | 94 | 378 |
| 3 | 141 | 369 |
| 4 | 213 | 360 |
| 5 | 390 | 360 |
| 6 | 665 | 360 |
| 7 | 1199 | 360 |
| 8 | 2047 | 360 |
| 9 | 2773 | 360 |
| 10 | 3668 | 360 |
| 11 | 3754 | 360 |
| 12 | 3779 | 360 |
| 13 | 3797 | 360 |
| 14 | 3806 | 360 |
| 15 | 3806 | 360 |
| 16 | 3910 | 360 |
| 17 | 3952 | 360 |
| 18 | 3952 | 360 |
| 0 | 3952 | 323 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) x) |
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) |
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) |
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) |
x |
(* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) |
(fabs x) |
(- (fabs x) (sqrt (+ (* x x) 1))) |
(sqrt (+ (* x x) 1)) |
(+ (* x x) 1) |
1 |
(log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) |
(/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))) |
(+ (fabs x) (sqrt (+ (* x x) 1))) |
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) |
(copysign (log x) x) |
(log x) |
x |
(copysign (log (- (fabs x) x)) x) |
(log (- (fabs x) x)) |
(- (fabs x) x) |
(fabs x) |
x |
(copysign (log (+ (fabs x) (+ x (/ 1/2 x)))) x) |
(log (+ (fabs x) (+ x (/ 1/2 x)))) |
(+ (fabs x) (+ x (/ 1/2 x))) |
(fabs x) |
x |
(+ x (/ 1/2 x)) |
(/ 1/2 x) |
1/2 |
(copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x) |
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) |
(* x x) |
x |
(/ 1/2 (+ 1 (fabs x))) |
1/2 |
(+ 1 (fabs x)) |
1 |
(fabs x) |
(log (+ 1 (fabs x))) |
| Outputs |
|---|
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) x) |
(copysign.f64 (+.f64 (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.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.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 (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) |
(+.f64 (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.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))) |
(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)))))) |
x |
(* (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)))) |
(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)) |
1 |
#s(literal 1 binary64) |
(log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) |
(log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.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) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))) |
(/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.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) (sqrt (+ (* x x) 1))) |
(+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) #s(literal -2 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(log x) |
(log.f64 x) |
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) (+ x (/ 1/2 x)))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) x) |
(log (+ (fabs x) (+ x (/ 1/2 x)))) |
(log.f64 (+.f64 (fabs.f64 x) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))) |
(+ (fabs x) (+ x (/ 1/2 x))) |
(+.f64 (fabs.f64 x) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))) |
(fabs x) |
(fabs.f64 x) |
x |
(+ x (/ 1/2 x)) |
(-.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
1/2 |
#s(literal 1/2 binary64) |
(copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x) |
(copysign.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) x) |
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) |
(fma.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) (log1p.f64 (fabs.f64 x))) |
(* x x) |
(*.f64 x x) |
x |
(/ 1/2 (+ 1 (fabs x))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
1 |
#s(literal 1 binary64) |
(fabs x) |
(fabs.f64 x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (fabs.f64 x)) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal 1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) |
| ✓ | accuracy | 100.0% | (fabs.f64 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% | (log.f64 (-.f64 (fabs.f64 x) x)) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (copysign.f64 (log.f64 x) x) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 100.0% | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (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 | 100.0% | (log.f64 (/.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))))) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| 112.0ms | 256× | 0 | invalid |
Compiled 334 to 35 computations (89.5% saved)
ival-copysign: 46.0ms (48.9% of total)ival-add: 15.0ms (16% of total)ival-log: 12.0ms (12.8% of total)ival-div: 5.0ms (5.3% of total)ival-mult: 5.0ms (5.3% of total)ival-log1p: 5.0ms (5.3% of total)ival-sub: 2.0ms (2.1% of total)ival-sqrt: 2.0ms (2.1% of total)ival-fabs: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))> |
#<alt (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))> |
#<alt (copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) x)> |
#<alt (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))))> |
#<alt (copysign (log x) x)> |
#<alt (log 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) (+ x (/ 1/2 x)))) x)> |
#<alt (log (+ (fabs x) (+ x (/ 1/2 x))))> |
#<alt (+ (fabs x) (+ x (/ 1/2 x)))> |
#<alt (copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x)> |
#<alt (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x))))> |
#<alt (* x x)> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))> |
#<alt (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))))))> |
#<alt (sqrt (+ (* x x) 1))> |
#<alt (+ x (/ 1/2 x))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (+ 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 (+ 1 (* (fabs x) (- (fabs x) 1)))> |
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))))> |
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))))> |
#<alt (+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (fabs x) x))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))> |
#<alt (* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (+ 1 (/ (fabs x) x)))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x))))> |
#<alt (* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x))))> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x)> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))))> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))> |
#<alt (+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))))))> |
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#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (pow x 2) (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (+ 1 (fabs x))))> |
#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2)))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))> |
#<alt (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))> |
#<alt (log (/ 1 x))> |
#<alt (- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x)))> |
#<alt (- (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x)))> |
#<alt (- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x)))> |
#<alt (log (/ -1 x))> |
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x)))> |
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x)))> |
#<alt (+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x)))> |
#<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 (/ 1/2 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 (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 (+ 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))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | x | @ | 0 | (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) |
| 33.0ms | x | @ | -inf | (log x) |
| 31.0ms | x | @ | 0 | (- (fabs x) x) |
| 29.0ms | x | @ | inf | (log (+ 1 (fabs x))) |
| 27.0ms | x | @ | 0 | (log x) |
| 1× | batch-egg-rewrite |
| 5 032× | /-lowering-/.f32 |
| 5 032× | /-lowering-/.f64 |
| 4 018× | *-lowering-*.f32 |
| 4 018× | *-lowering-*.f64 |
| 3 732× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 295 |
| 1 | 210 | 295 |
| 2 | 2011 | 295 |
| 0 | 8571 | 259 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))) |
(+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)) |
(copysign (+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) x) |
(+ (log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) (log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1))))) |
(copysign (log x) x) |
(log x) |
(copysign (log (- (fabs x) x)) x) |
(log (- (fabs x) x)) |
(- (fabs x) x) |
(fabs x) |
(copysign (log (+ (fabs x) (+ x (/ 1/2 x)))) x) |
(log (+ (fabs x) (+ x (/ 1/2 x)))) |
(+ (fabs x) (+ x (/ 1/2 x))) |
(copysign (+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) x) |
(+ (* (* x x) (/ 1/2 (+ 1 (fabs x)))) (log (+ 1 (fabs x)))) |
(* x x) |
(/ 1/2 (+ 1 (fabs x))) |
(log (/ (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1)))) (+ (* x x) 1)))) |
(log (+ 1 (+ (* x x) (* (fabs x) (- (fabs x) (sqrt (+ (* x x) 1))))))) |
(sqrt (+ (* x x) 1)) |
(+ x (/ 1/2 x)) |
(log (+ 1 (fabs x))) |
(+ 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 (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) #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 (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 #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 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)))))))) |
(-.f64 (/.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 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x))) (/.f64 (*.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 x x)))) |
(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 (*.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 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 (*.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 (*.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 #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 (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 (*.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 (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 (*.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 #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) (-.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 (*.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 (*.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 #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 (*.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 #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 (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 (*.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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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))) |
| 1× | egg-herbie |
| 11 110× | accelerator-lowering-fma.f32 |
| 11 110× | accelerator-lowering-fma.f64 |
| 5 558× | *-lowering-*.f32 |
| 5 558× | *-lowering-*.f64 |
| 4 336× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 605 | 6506 |
| 1 | 1855 | 6126 |
| 2 | 6937 | 5826 |
| 0 | 8804 | 5356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (fabs x) (- (fabs x) 1)) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x))))))) |
(+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x)))))))) |
(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)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2)) x))) x)))) |
(+ 1 (* (fabs x) (- (fabs x) 1))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ (fabs x) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x)))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x)))) |
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(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(copysign (+ (log (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))) (log (/ (+ (fabs x) (sqrt (+ 1 (pow x 2)))) (+ 1 (+ (* (fabs x) (- (fabs x) (sqrt (+ 1 (pow x 2))))) (pow x 2)))))) x) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1)))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* -1/2 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* (pow x 2) (+ (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))) (+ (* 1/24 (+ (* -12 (/ (pow (+ 1 (* -1/2 (fabs x))) 2) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 3 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (* (pow x 2) (+ (* 1/720 (+ (* -90 (/ (* (fabs x) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* -45 (/ (fabs x) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* 240 (/ (pow (+ 1 (* -1/2 (fabs x))) 3) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3)))))) (* 1/720 (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))))))) (+ (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x))))))))) |
(+ (log (/ 1 x)) (* -2 (log (/ 1 x)))) |
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (/ (fabs x) x))) |
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))) (/ (fabs x) x))))) |
(+ (log (/ 1 x)) (+ (* -2 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (+ (* 1/2 (/ (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))) (pow x 2))) (/ (fabs x) x))))))) |
(+ (log (/ -1 x)) (* -2 (log (/ -1 x)))) |
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (fabs x) x)))) |
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2)))) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2)))))) x))) x)))) |
(+ (log (/ -1 x)) (+ (* -2 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x)))))))) (* 1/6 (+ (* -3 (fabs x)) (+ (* -2 (pow (fabs x) 3)) (* 6 (* (fabs x) (+ 1 (pow (fabs x) 2)))))))) x)) (+ (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2)))) (* 1/2 (+ (* -1 (pow (fabs x) 2)) (* 2 (+ 1 (pow (fabs x) 2))))))) x))) x)))) |
(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)))) |
(copysign (log (- (fabs x) x)) x) |
(copysign (log (- (fabs x) x)) x) |
(copysign (log (- (fabs x) x)) x) |
(copysign (log (- (fabs x) x)) x) |
(copysign (log (- (fabs x) x)) x) |
(copysign (log (- (fabs x) x)) x) |
(copysign (log (- (fabs x) x)) x) |
(copysign (log (- (fabs x) x)) x) |
(copysign (log (+ (fabs x) (* -1 x))) x) |
(copysign (log (+ (fabs x) (* -1 x))) x) |
(copysign (log (+ (fabs x) (* -1 x))) x) |
(copysign (log (+ (fabs x) (* -1 x))) x) |
(log (fabs x)) |
(+ (log (fabs x)) (* -1 (/ x (fabs x)))) |
(+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x))))) |
(+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x))))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x)))) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* -1/2 (/ (pow (fabs x) 2) (pow x 2)))))) |
(+ (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))))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) x))) x))) |
(fabs x) |
(+ (fabs x) (* -1 x)) |
(+ (fabs x) (* -1 x)) |
(+ (fabs x) (* -1 x)) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(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 (+ (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))) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) x) |
(copysign (+ (log (+ 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))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (pow x 2) (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (+ 1 (fabs x)))) |
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* 1/24 (* (pow x 2) (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2)))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))) |
(+ (log (/ (+ 1 (fabs x)) (+ 1 (* (fabs x) (- (fabs x) 1))))) (* (pow x 2) (+ (* (pow x 2) (+ (* 1/720 (* (pow x 2) (+ (* 240 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 3) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 3)) (pow (+ 1 (fabs x)) 3))) (+ (* 720 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/16 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1 (/ (* (+ 1 (* -1/2 (fabs x))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* -1/16 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (* 1/8 (/ (* (fabs x) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))))) (+ 1 (fabs x)))) (* 720 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (* (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1)))))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))))) (pow (+ 1 (fabs x)) 2))))))) (* 1/24 (+ (* -24 (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (+ (* 1/8 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (+ (* 1/8 (/ (* (fabs x) (+ 1 (fabs x))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) (/ (* (+ 1 (* -1/2 (fabs x))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (* (fabs x) (- (fabs x) 1))))))) (+ 1 (fabs x)))) (* -12 (/ (* (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2) (pow (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2))) 2)) (pow (+ 1 (fabs x)) 2))))))) (/ (* (+ 1 (* (fabs x) (- (fabs x) 1))) (- (* 1/2 (/ 1 (+ 1 (* (fabs x) (- (fabs x) 1))))) (/ (* (+ 1 (fabs x)) (+ 1 (* -1/2 (fabs x)))) (pow (+ 1 (* (fabs x) (- (fabs x) 1))) 2)))) (+ 1 (fabs x)))))) |
(log (/ 1 x)) |
(- (+ (log (/ 1 x)) (/ (fabs x) x)) (* -1 (/ (fabs x) x))) |
(- (+ (log (/ 1 x)) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x))) (* -1 (/ (fabs x) x))) |
(- (+ (log (/ 1 x)) (+ (* 1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) (pow x 3))) (+ (* 1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) (pow x 2))) (/ (fabs x) x)))) (* -1 (/ (fabs x) x))) |
(log (/ -1 x)) |
(+ (log (/ -1 x)) (* -1 (/ (- (fabs x) (* -1 (fabs x))) x))) |
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1/2 (/ (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))) x))) (* -1 (fabs x))) x))) |
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x))) |
(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))))) |
(/ 1/2 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))))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(+ 1 (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)) |
| 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 (*.f64 x 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 x (*.f64 x (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/8 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 (fma.f64 (/.f64 (fabs.f64 x) x) (neg.f64 x) x)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (/ (pow (fabs x) 2) (pow x 2))))) |
(*.f64 x (*.f64 x (-.f64 #s(literal 2 binary64) (/.f64 (fabs.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)))))) |
(*.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (fabs x) x))) |
(*.f64 x (fma.f64 x (/.f64 (fabs.f64 x) x) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (pow (fabs x) 2) x))) x)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 (fabs.f64 x) 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))) |
(+ 1 (* (fabs x) (- (fabs x) 1))) |
(fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (* -1/2 (fabs x)))))) |
(+.f64 #s(literal 1 binary64) (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)))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* 1/8 (* (pow x 2) (fabs x)))))))) |
(+.f64 (-.f64 (*.f64 x x) (fabs.f64 x)) (fma.f64 (*.f64 x 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)) #s(literal 1 binary64))) |
(+ 1 (+ (* (fabs x) (- (fabs x) 1)) (* (pow x 2) (+ 1 (+ (* -1/2 (fabs x)) (* (pow x 2) (+ (* -1/16 (* (pow x 2) (fabs x))) (* 1/8 (fabs x))))))))) |
(+.f64 (-.f64 (*.f64 x x) (fabs.f64 x)) (fma.f64 (*.f64 x x) (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) (fma.f64 (*.f64 x x) (*.f64 (fabs.f64 x) (fma.f64 (*.f64 x x) #s(literal -1/16 binary64) #s(literal 1/8 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 (/ (fabs x) x)))) |
(*.f64 x (fma.f64 (/.f64 (fabs.f64 x) x) (neg.f64 x) x)) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2)))))) |
(*.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* (pow x 2) (+ 1 (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (fabs x) (pow x 3))) (+ (/ 1 (pow x 2)) (/ (pow (fabs x) 2) (pow x 2))))))) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 (-.f64 #s(literal 2 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 (fabs.f64 x) #s(literal -1/2 binary64)) (*.f64 x (*.f64 x x))))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ (fabs x) x))) |
(*.f64 x (fma.f64 x (/.f64 (fabs.f64 x) x) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (pow (fabs x) 2)) x))) x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)) x))) |
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ 1 (+ (* 1/2 (/ (fabs x) x)) (pow (fabs x) 2))) x))) x)))) |
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(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) |
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(log.f64 x) |
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(log x) |
(log.f64 x) |
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(copysign (log (- (fabs x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign (log (- (fabs x) x)) x) |
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(copysign (log (- (fabs x) x)) x) |
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(copysign (log (- (fabs x) x)) x) |
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(copysign (log (- (fabs x) x)) x) |
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(copysign (log (- (fabs x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign (log (- (fabs x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign (log (+ (fabs x) (* -1 x))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign (log (+ (fabs x) (* -1 x))) x) |
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(copysign (log (+ (fabs x) (* -1 x))) x) |
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(copysign (log (+ (fabs x) (* -1 x))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(log (fabs x)) |
(log.f64 (fabs.f64 x)) |
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(fabs.f64 x) |
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(-.f64 (fabs.f64 x) x) |
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(-.f64 (fabs.f64 x) x) |
(* -1 x) |
(neg.f64 x) |
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(* x (- (/ (fabs x) x) 1)) |
(-.f64 (/.f64 (*.f64 x (fabs.f64 x)) x) x) |
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(fabs x) |
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(fabs x) |
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(fabs x) |
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(fabs x) |
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(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
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(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
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(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
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(copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x) |
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x) |
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(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 x x (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) (*.f64 (fabs.f64 x) #s(literal 2 binary64))) x)) |
(+ (log (/ -1 x)) (* -1 (/ (- (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (+ (* -1/2 (fabs x)) (+ (* (fabs x) (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* (+ 1 (pow (fabs x) 2)) (- (fabs x) (* -1 (fabs x))))))) (+ (* 2 (pow (- (fabs x) (* -1 (fabs x))) 3)) (* 6 (* (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2))) (- (fabs x) (* -1 (fabs x))))))) x)) (* 1/2 (+ (* -2 (+ 1/2 (+ (* -1 (* (fabs x) (- (fabs x) (* -1 (fabs x))))) (pow (fabs x) 2)))) (* -1 (pow (- (fabs x) (* -1 (fabs x))) 2))))) x))) (* -1 (fabs x))) x))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 #s(literal -6 binary64) (fma.f64 (fabs.f64 x) (+.f64 #s(literal -1/2 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x (fabs.f64 x))) #s(literal 8 binary64)) (*.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x x (*.f64 (*.f64 x x) #s(literal -2 binary64))) #s(literal 6 binary64) #s(literal 3 binary64))))) x) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (neg.f64 (fma.f64 x x (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal 1/2 binary64)))))) x))) x)) |
(log (+ 1 (* (fabs x) (- (fabs x) 1)))) |
(log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x))) |
(+ (log (+ 1 (* (fabs x) (- (fabs x) 1)))) (/ (* (pow x 2) (+ 1 (* -1/2 (fabs x)))) (+ 1 (* (fabs x) (- (fabs x) 1))))) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (fabs.f64 x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (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))))) (+ (* 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)))))))) |
(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 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) (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 #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 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal -45 binary64) (/.f64 (*.f64 #s(literal -90 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (fabs.f64 x))) (*.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))) (*.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 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))))) (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 (*.f64 x 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)))))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (fabs.f64 x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 6 binary64)) (fma.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (fabs.f64 x) #s(literal -3 binary64)))) (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 (*.f64 x 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 (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (neg.f64 x)))) 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) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 6 binary64)) (fma.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 (fabs.f64 x) #s(literal -3 binary64)))) x) (fma.f64 (*.f64 x 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 x (*.f64 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 x (*.f64 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))))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x 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 x (+.f64 (/.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)))))) |
(fma.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (neg.f64 x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 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 #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 #s(literal 1 binary64) (+.f64 (/.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))))))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (pow x 2)) x) |
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (pow x 2)) x) |
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x) |
(/ (+ 1/2 (pow x 2)) x) |
(/.f64 (fma.f64 x x #s(literal 1/2 binary64)) x) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x 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)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
Compiled 53 680 to 4 446 computations (91.7% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 146 | 3 | 1 149 |
| Fresh | 0 | 9 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 147 | 16 | 1 163 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 48.1% | (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) |
| 47.7% | (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) | |
| ▶ | 5.9% | (copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| 6.0% | (copysign.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (*.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))))))) x) | |
| 60.3% | (copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (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) | |
| 4.6% | (copysign.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (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) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.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)))) (*.f64 x x))) (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) | |
| ▶ | 6.7% | (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) |
| ▶ | 61.7% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ✓ | 34.7% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| ▶ | 33.7% | (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
| 29.7% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| 9.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) x) | |
| ✓ | 23.3% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
| 23.7% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) | |
| ▶ | 9.5% | (copysign.f64 (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) x) |
| ✓ | 7.9% | (copysign.f64 (log.f64 x) x) |
Compiled 655 to 296 computations (54.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) x) |
| ✓ | cost-diff | 704 | (/.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)))) |
| ✓ | cost-diff | 896 | (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (-.f64 (fabs.f64 x) x) |
| ✓ | cost-diff | 0 | (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) 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 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) 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) |
| 10 924× | accelerator-lowering-fma.f32 |
| 10 924× | accelerator-lowering-fma.f64 |
| 2 348× | --lowering--.f32 |
| 2 348× | --lowering--.f64 |
| 2 032× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 269 |
| 1 | 66 | 269 |
| 2 | 110 | 229 |
| 3 | 188 | 219 |
| 4 | 286 | 219 |
| 5 | 443 | 219 |
| 6 | 786 | 219 |
| 7 | 1589 | 219 |
| 8 | 2136 | 219 |
| 9 | 3076 | 219 |
| 10 | 4656 | 219 |
| 11 | 6883 | 219 |
| 12 | 7935 | 219 |
| 0 | 8061 | 200 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(log (+ 1 (fabs x))) |
(fabs x) |
x |
(copysign (/ (* (* x x) 1/2) (+ (fabs x) 1)) x) |
(/ (* (* x x) 1/2) (+ (fabs x) 1)) |
(* (* x x) 1/2) |
(* x x) |
x |
1/2 |
(+ (fabs x) 1) |
(fabs x) |
1 |
(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 (+ (- (fabs x) x) (/ -1/2 x))) x) |
(log (+ (- (fabs x) x) (/ -1/2 x))) |
(+ (- (fabs x) x) (/ -1/2 x)) |
(- (fabs x) x) |
(fabs x) |
x |
(/ -1/2 x) |
-1/2 |
(copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x) |
(neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) |
(log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) |
(/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) |
(- (sqrt (+ (* x x) 1)) (fabs x)) |
(sqrt (+ (* x x) 1)) |
(+ (* x x) 1) |
x |
1 |
(fabs x) |
(+ (* x x) (- 1 (* x x))) |
(- 1 (* x x)) |
(* x 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 (/ (* (* x x) 1/2) (+ (fabs x) 1)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(/ (* (* x x) 1/2) (+ (fabs x) 1)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* (* x x) 1/2) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* x x) |
(*.f64 x x) |
x |
1/2 |
#s(literal 1/2 binary64) |
(+ (fabs x) 1) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
1 |
#s(literal 1 binary64) |
(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 (fabs.f64 x) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
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 (+ (- (fabs x) x) (/ -1/2 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) x) |
(log (+ (- (fabs x) x) (/ -1/2 x))) |
(log.f64 (+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))) |
(+ (- (fabs x) x) (/ -1/2 x)) |
(+.f64 (fabs.f64 x) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(- (fabs x) x) |
(-.f64 (fabs.f64 x) 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 (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) |
(neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) |
(log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) |
(/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
(- (sqrt (+ (* x x) 1)) (fabs x)) |
(-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 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 |
1 |
#s(literal 1 binary64) |
(fabs x) |
(fabs.f64 x) |
(+ (* x x) (- 1 (* x x))) |
#s(literal 1 binary64) |
(- 1 (* x x)) |
(-.f64 #s(literal 1 binary64) (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 82.6% | (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) |
| ✓ | accuracy | 80.7% | (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))))) |
| ✓ | accuracy | 70.0% | (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) |
| ✓ | accuracy | 68.7% | (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (-.f64 (fabs.f64 x) x) |
| ✓ | accuracy | 100.0% | (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) 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 | 62.5% | (log.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 82.6% | (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| ✓ | 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) |
| 115.0ms | 106× | 2 | valid |
| 30.0ms | 116× | 0 | invalid |
| 27.0ms | 13× | 3 | valid |
| 7.0ms | 12× | 1 | valid |
| 2.0ms | 9× | 0 | valid |
Compiled 249 to 34 computations (86.3% saved)
ival-copysign: 57.0ms (37.7% of total)ival-add: 22.0ms (14.5% of total)ival-log: 18.0ms (11.9% of total)adjust: 16.0ms (10.6% of total)ival-sub: 8.0ms (5.3% of total)ival-mult: 8.0ms (5.3% of total)ival-log1p: 8.0ms (5.3% of total)ival-div: 7.0ms (4.6% of total)ival-fabs: 3.0ms (2% of total)ival-sqrt: 3.0ms (2% of total)ival-neg: 2.0ms (1.3% 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 (/ (* (* x x) 1/2) (+ (fabs x) 1)) x)> |
#<alt (/ (* (* x x) 1/2) (+ (fabs x) 1))> |
#<alt (* (* x x) 1/2)> |
#<alt (* x 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 (+ (- (fabs x) x) (/ -1/2 x))) x)> |
#<alt (log (+ (- (fabs x) x) (/ -1/2 x)))> |
#<alt (+ (- (fabs x) x) (/ -1/2 x))> |
#<alt (- (fabs x) x)> |
#<alt (+ (* x x) (- 1 (* x x)))> |
#<alt (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))> |
#<alt (copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x)> |
#<alt (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))))> |
#<alt (* x 1/2)> |
#<alt (- (sqrt (+ (* x x) 1)) (fabs x))> |
#<alt (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))> |
#<alt (sqrt (+ (* x x) 1))> |
| 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 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) 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))))> |
#<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))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (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 (pow x 2)> |
#<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) (+ x (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x)> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x))))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2)))))))))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))))> |
#<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 (/ -1/2 x)> |
#<alt (/ (- (* x (fabs x)) 1/2) x)> |
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)> |
#<alt (/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x)> |
#<alt (* -1 x)> |
#<alt (* x (- (/ (fabs x) x) 1))> |
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))> |
#<alt (* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2)))))> |
#<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) (* 1/2 (/ 1 x))) x)))))> |
#<alt (fabs x)> |
#<alt (+ (fabs x) (* -1 x))> |
#<alt (+ (fabs x) (* -1 x))> |
#<alt (+ (fabs x) (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ (fabs x) x) 1))> |
#<alt (* x (- (/ (fabs x) x) 1))> |
#<alt (* x (- (/ (fabs x) x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (fabs x) x)))))> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt 1> |
#<alt (- 1 (fabs x))> |
#<alt (- (+ 1 (* 1/2 (pow x 2))) (fabs x))> |
#<alt (- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))> |
#<alt (- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (fabs x) x))))> |
#<alt (* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x)))> |
#<alt (* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (/ (fabs x) x))))> |
#<alt (* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x)))))> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x)> |
#<alt (* -1 (log (- 1 (fabs x))))> |
#<alt (- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (log (- 1 (fabs x))))> |
#<alt (- (* (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))))> |
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) (+ (* 30 (/ 1 (pow (- 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 45 (/ 1 (- 1 (fabs x)))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x))))> |
#<alt (log (/ 1 x))> |
#<alt (- (/ (fabs x) x) (* -1 (log (/ 1 x))))> |
#<alt (- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x))))> |
#<alt (- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))> |
#<alt (log (/ -1 x))> |
#<alt (- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x))))> |
#<alt (- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))> |
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x))))> |
#<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 (- 1 (fabs x))> |
#<alt (- (+ 1 (* 1/2 (pow x 2))) (fabs x))> |
#<alt (- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x))> |
#<alt (- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 (/ (fabs x) x))))> |
#<alt (* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x)))> |
#<alt (* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (+ 1 (/ (fabs x) x))))> |
#<alt (* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (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 (/ 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))) (* -1 (/ (fabs x) x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))> |
#<alt (+ (* -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> |
#<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)))))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) |
| 1.0ms | x | @ | 0 | (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) |
| 1.0ms | x | @ | 0 | (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) |
| 1.0ms | x | @ | -inf | (log (+ 1 (+ (* x (* x 1/2)) (fabs x)))) |
| 0.0ms | x | @ | inf | (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) |
| 1× | batch-egg-rewrite |
| 4 800× | *-lowering-*.f32 |
| 4 800× | *-lowering-*.f64 |
| 3 790× | /-lowering-/.f32 |
| 3 790× | /-lowering-/.f64 |
| 3 458× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 228 |
| 1 | 198 | 189 |
| 2 | 1911 | 189 |
| 0 | 8136 | 170 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(log (+ 1 (fabs x))) |
(fabs x) |
(copysign (/ (* (* x x) 1/2) (+ (fabs x) 1)) x) |
(/ (* (* x x) 1/2) (+ (fabs x) 1)) |
(* (* x x) 1/2) |
(* x 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 (+ (- (fabs x) x) (/ -1/2 x))) x) |
(log (+ (- (fabs x) x) (/ -1/2 x))) |
(+ (- (fabs x) x) (/ -1/2 x)) |
(- (fabs x) x) |
(+ (* x x) (- 1 (* x x))) |
(/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))) |
(copysign (neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) x) |
(neg (log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x)))))) |
(* x 1/2) |
(- (sqrt (+ (* x x) 1)) (fabs x)) |
(log (/ (- (sqrt (+ (* x x) 1)) (fabs x)) (+ (* x x) (- 1 (* x x))))) |
(sqrt (+ (* x x) 1)) |
| 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) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) #s(literal -1 binary64))))) |
(+.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 (fma.f64 x x (-.f64 #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 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) (fabs.f64 x)))) |
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)))) |
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 (fabs.f64 x)))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (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 (fma.f64 x x (-.f64 #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))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(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 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (+.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (neg.f64 (+.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(*.f64 x (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(*.f64 x (/.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) |
(*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
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(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fabs.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (+.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))) (neg.f64 (*.f64 x (*.f64 x x)))) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (fabs.f64 x)))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) (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 (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (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 (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 x (*.f64 x x)))) (*.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 (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 (fma.f64 x x #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 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)))))) |
(pow.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 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #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))) (neg.f64 (*.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))))) |
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(+.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (neg.f64 (log1p.f64 (fma.f64 x x (*.f64 x (neg.f64 x)))))) |
(+.f64 #s(literal 0 binary64) (neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(+.f64 (log.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))))) |
(+.f64 (neg.f64 (log1p.f64 (fma.f64 x x (*.f64 x (neg.f64 x))))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(+.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(+.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))))) (log.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) |
(-.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (fma.f64 x x (*.f64 x (neg.f64 x))))) |
(-.f64 (log1p.f64 (fma.f64 x x (*.f64 x (neg.f64 x)))) (log.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) (log.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))))) |
(-.f64 (log.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64)))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (fabs.f64 x)))) (log.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))))) |
(-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))))) (log.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))))) (*.f64 (/.f64 (fabs.f64 x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (/.f64 (fabs.f64 x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (fabs.f64 x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))))))) (log.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (fma.f64 (/.f64 (fabs.f64 x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (fabs.f64 x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (fabs.f64 x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))) (*.f64 (/.f64 (fabs.f64 x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (fabs.f64 x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))))) (log.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))) (/.f64 (fabs.f64 x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) #s(literal 1 binary64))) (log1p.f64 (fma.f64 x x (*.f64 x (neg.f64 x))))) |
(-.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))))) (log.f64 (fma.f64 (fabs.f64 x) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))))) (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (fma.f64 x x (*.f64 x (neg.f64 x)))) (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) |
(neg.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) |
(neg.f64 (log.f64 (/.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x (*.f64 x (neg.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (fma.f64 x x (*.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) (log1p.f64 (fma.f64 x x (*.f64 x (neg.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (fma.f64 x x (*.f64 x (neg.f64 x)))) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (+.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)))) |
(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 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))) |
(/.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)))) |
(/.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 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))) |
(/.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 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.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))))) |
(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))))) |
| 1× | egg-herbie |
| 16 024× | accelerator-lowering-fma.f32 |
| 16 024× | accelerator-lowering-fma.f64 |
| 5 986× | +-lowering-+.f64 |
| 5 986× | +-lowering-+.f32 |
| 4 496× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 346 | 2954 |
| 1 | 1038 | 2845 |
| 2 | 3214 | 2711 |
| 0 | 8173 | 2482 |
| 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 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) 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)))) |
(* 1/2 (/ (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)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/8 (/ (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) (+ x (* 1/2 (/ 1 x))))) x) |
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x) |
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x) |
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x) |
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x) |
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x) |
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x) |
(copysign (log (- (fabs x) (+ x (* 1/2 (/ 1 x))))) x) |
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x) |
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x) |
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x) |
(copysign (log (- (+ (fabs x) (* -1 x)) (* 1/2 (/ 1 x)))) x) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (+ (* -2 (* x (fabs x))) (* -1 (log x)))) |
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))))))) |
(+ (log -1/2) (+ (* -1 (log x)) (* x (+ (* -2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -16 (pow (fabs x) 3)) (* 24 (fabs x))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2)))))))))) |
(+ (log -1) (* -1 (log (/ 1 x)))) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x)))) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(/ -1/2 x) |
(/ (- (* x (fabs x)) 1/2) x) |
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x) |
(/ (- (* x (+ (fabs x) (* -1 x))) 1/2) x) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2))))) |
(* x (- (/ (fabs x) x) (+ 1 (/ 1/2 (pow x 2))))) |
(* -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) (* 1/2 (/ 1 x))) x))))) |
(fabs x) |
(+ (fabs x) (* -1 x)) |
(+ (fabs x) (* -1 x)) |
(+ (fabs x) (* -1 x)) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) 1)) |
(* x (- (/ (fabs x) x) 1)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
1 |
(- 1 (fabs x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
x |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(copysign (neg (log (- (sqrt (+ 1 (pow x 2))) (fabs x)))) x) |
(* -1 (log (- 1 (fabs x)))) |
(- (* -1/2 (/ (pow x 2) (- 1 (fabs x)))) (log (- 1 (fabs x)))) |
(- (* (pow x 2) (- (* 1/24 (* (pow x 2) (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x)))) |
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/720 (* (pow x 2) (+ (* 30 (/ 1 (pow (- 1 (fabs x)) 3))) (+ (* 45 (/ 1 (pow (- 1 (fabs x)) 2))) (* 45 (/ 1 (- 1 (fabs x)))))))) (* -1/24 (+ (* 3 (/ 1 (- 1 (fabs x)))) (* 3 (/ 1 (pow (- 1 (fabs x)) 2))))))) (* 1/2 (/ 1 (- 1 (fabs x)))))) (log (- 1 (fabs x)))) |
(log (/ 1 x)) |
(- (/ (fabs x) x) (* -1 (log (/ 1 x)))) |
(- (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (+ (* -1 (log (/ 1 x))) (* -1 (/ (fabs x) x)))) |
(- (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(log (/ -1 x)) |
(- (* -1 (/ (fabs x) x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x)) (* -1 (fabs x))) x)) (* -1 (log (/ -1 x)))) |
(* 1/2 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) |
(- 1 (fabs x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
x |
(* x (+ 1 (* -1 (/ (fabs x) x)))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (/ (fabs x) x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
(* -1 x) |
(* -1 (* x (+ 1 (/ (fabs x) x)))) |
(* -1 (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) (fabs x)) x))))) |
(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))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* 1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) (pow x 3))) (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2)))))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
1 |
(+ 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))))) |
| 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 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
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x |
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(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (fabs.f64 x) x)) |
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(*.f64 x #s(literal 1/2 binary64)) |
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(- 1 (fabs x)) |
(-.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(- (+ 1 (* 1/2 (pow x 2))) (fabs x)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) (fabs x)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 1/2 binary64)) x) x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(- (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) (fabs x)) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 x (*.f64 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 (* -1 (/ (fabs x) x)))) |
(-.f64 x (fabs.f64 x)) |
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(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) (-.f64 x (fabs.f64 x))) |
(* x (- (+ 1 (/ 1/2 (pow x 2))) (+ (* 1/8 (/ 1 (pow x 4))) (/ (fabs x) x)))) |
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(log (- 1 (fabs x))) |
(log1p.f64 (neg.f64 (fabs.f64 x))) |
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1 |
#s(literal 1 binary64) |
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(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
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(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
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x |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x) |
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(fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x)) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.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)))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f64 (fma.f64 x (/.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 #s(literal 1 binary64) (/.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 (neg.f64 x) (fma.f64 #s(literal 1 binary64) (/.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 (*.f64 x x) (*.f64 x x))))))) |
Compiled 22 944 to 3 354 computations (85.4% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 940 | 9 | 949 |
| Fresh | 4 | 3 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 947 | 18 | 965 |
| Status | Accuracy | Program |
|---|---|---|
| 47.7% | (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) | |
| ✓ | 5.9% | (copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| 5.9% | (copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) | |
| ▶ | 4.8% | (copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
| ▶ | 4.9% | (copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
| 5.9% | (copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) | |
| ▶ | 6.1% | (copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
| 6.7% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x 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 x x)))))) x) | |
| 7.7% | (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) | |
| ▶ | 51.0% | (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
| ✓ | 61.7% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ▶ | 9.5% | (copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
| ✓ | 34.7% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| ✓ | 33.7% | (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
| 29.7% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| ✓ | 23.3% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
| 23.7% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) | |
| ✓ | 7.9% | (copysign.f64 (log.f64 x) x) |
Compiled 484 to 285 computations (41.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
| ✓ | cost-diff | 192 | (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | cost-diff | 0 | (copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
| ✓ | cost-diff | 128 | (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
| ✓ | cost-diff | 0 | (copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) 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) |
| 6 602× | accelerator-lowering-fma.f32 |
| 6 602× | accelerator-lowering-fma.f64 |
| 5 190× | *-lowering-*.f32 |
| 5 190× | *-lowering-*.f64 |
| 1 200× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 283 |
| 1 | 89 | 283 |
| 2 | 233 | 283 |
| 3 | 1000 | 283 |
| 4 | 3236 | 283 |
| 5 | 5670 | 283 |
| 0 | 8101 | 260 |
| 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 (* (* (/ 1/2 (+ 1 (fabs x))) x) x) x) |
(* (* (/ 1/2 (+ 1 (fabs x))) x) x) |
(* (/ 1/2 (+ 1 (fabs x))) x) |
(/ 1/2 (+ 1 (fabs x))) |
1/2 |
(+ 1 (fabs x)) |
1 |
(fabs x) |
x |
(copysign (* (/ (* x (* x 1/2)) (+ (* x x) -1)) (+ (fabs x) -1)) x) |
(* (/ (* x (* x 1/2)) (+ (* x x) -1)) (+ (fabs x) -1)) |
(/ (* x (* x 1/2)) (+ (* x x) -1)) |
(* x (* x 1/2)) |
x |
(* x 1/2) |
1/2 |
(+ (* x x) -1) |
-1 |
(+ (fabs x) -1) |
(fabs x) |
(copysign (* (/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) (+ (* x x) (- 1 (fabs x)))) x) |
(* (/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) (+ (* x x) (- 1 (fabs x)))) |
(/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) |
(* x (* x 1/2)) |
x |
(* x 1/2) |
1/2 |
(+ (* x (* x x)) 1) |
(* x x) |
1 |
(+ (* x x) (- 1 (fabs x))) |
(- 1 (fabs x)) |
(fabs x) |
(copysign (log (+ (* (* x x) 1/2) (+ 1 (fabs x)))) x) |
(log (+ (* (* x x) 1/2) (+ 1 (fabs x)))) |
(+ (* (* x x) 1/2) (+ 1 (fabs x))) |
(* x x) |
x |
1/2 |
(+ 1 (fabs x)) |
1 |
(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 (* (* (/ 1/2 (+ 1 (fabs x))) x) x) x) |
(copysign.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(* (* (/ 1/2 (+ 1 (fabs x))) x) x) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* (/ 1/2 (+ 1 (fabs x))) x) |
(/.f64 (*.f64 x #s(literal 1/2 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) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
1 |
#s(literal 1 binary64) |
(fabs x) |
(fabs.f64 x) |
x |
(copysign (* (/ (* x (* x 1/2)) (+ (* x x) -1)) (+ (fabs x) -1)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) x) |
(* (/ (* x (* x 1/2)) (+ (* x x) -1)) (+ (fabs x) -1)) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) (fabs.f64 x) #s(literal -1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(/ (* x (* x 1/2)) (+ (* x x) -1)) |
(*.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(* x (* x 1/2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
x |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* x x) -1) |
(fma.f64 x x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(+ (fabs x) -1) |
(+.f64 (fabs.f64 x) #s(literal -1 binary64)) |
(fabs x) |
(fabs.f64 x) |
(copysign (* (/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) (+ (* x x) (- 1 (fabs x)))) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) x) |
(* (/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) (+ (* x x) (- 1 (fabs x)))) |
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(* x (* x 1/2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
x |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* x (* x x)) 1) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(* x x) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(+ (* x x) (- 1 (fabs x))) |
(-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) |
(- 1 (fabs x)) |
(-.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
(copysign (log (+ (* (* x x) 1/2) (+ 1 (fabs x)))) x) |
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
(log (+ (* (* x x) 1/2) (+ 1 (fabs x)))) |
(log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
(+ (* (* x x) 1/2) (+ 1 (fabs x))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* x x) |
(*.f64 x x) |
x |
1/2 |
#s(literal 1/2 binary64) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
1 |
#s(literal 1 binary64) |
(fabs x) |
(fabs.f64 x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 29.7% | (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | accuracy | 100.0% | (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
| ✓ | accuracy | 72.3% | (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | accuracy | 61.7% | (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) |
| ✓ | accuracy | 71.2% | (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 99.9% | (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
| ✓ | 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 | 71.2% | (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) |
| 58.0ms | 59× | 1 | valid |
| 39.0ms | 146× | 0 | valid |
| 34.0ms | 40× | 2 | valid |
| 12.0ms | 11× | 3 | valid |
Compiled 272 to 34 computations (87.5% saved)
ival-mult: 47.0ms (40.9% of total)ival-log: 16.0ms (13.9% of total)ival-copysign: 14.0ms (12.2% of total)ival-add: 12.0ms (10.4% of total)adjust: 9.0ms (7.8% of total)ival-div: 7.0ms (6.1% of total)ival-log1p: 6.0ms (5.2% of total)ival-sub: 2.0ms (1.7% of total)ival-fabs: 2.0ms (1.7% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (* (* (/ 1/2 (+ 1 (fabs x))) x) x) x)> |
#<alt (* (* (/ 1/2 (+ 1 (fabs x))) x) x)> |
#<alt (* (/ 1/2 (+ 1 (fabs x))) x)> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (* (/ (* x (* x 1/2)) (+ (* x x) -1)) (+ (fabs x) -1))> |
#<alt (copysign (* (/ (* x (* x 1/2)) (+ (* x x) -1)) (+ (fabs x) -1)) x)> |
#<alt (/ (* x (* x 1/2)) (+ (* x x) -1))> |
#<alt (* x (* x 1/2))> |
#<alt (copysign (* (/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) (+ (* x x) (- 1 (fabs x)))) x)> |
#<alt (* (/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) (+ (* x x) (- 1 (fabs x))))> |
#<alt (/ (* x (* x 1/2)) (+ (* x (* x x)) 1))> |
#<alt (log (+ (* (* x x) 1/2) (+ 1 (fabs x))))> |
#<alt (copysign (log (+ (* (* x x) 1/2) (+ 1 (fabs x)))) x)> |
#<alt (+ (* (* x x) 1/2) (+ 1 (fabs x)))> |
#<alt (* x x)> |
#<alt (fabs x)> |
#<alt (+ (* x (* x x)) 1)> |
#<alt (+ (* x x) (- 1 (fabs 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 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x)> |
#<alt (copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) 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))))> |
#<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 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (* 1/2 (/ x (+ 1 (fabs x))))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (/ 1/2 (+ 1 (fabs x)))> |
#<alt (* -1/2 (* (pow x 2) (- (fabs x) 1)))> |
#<alt (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x))))))> |
#<alt (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))> |
#<alt (* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x)))))))))> |
#<alt (* 1/2 (- (fabs x) 1))> |
#<alt (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2))))> |
#<alt (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4)))))> |
#<alt (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6))))))> |
#<alt (* 1/2 (- (fabs x) 1))> |
#<alt (+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2))))> |
#<alt (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4)))))> |
#<alt (+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6))))))> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x)> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2))> |
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)) 1/2))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 (pow x 2))))> |
#<alt (+ 1/2 (+ (/ 1/2 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (+ 1/2 (+ (/ 1/2 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/2 (/ 1 (pow x 2))))> |
#<alt (+ 1/2 (+ (/ 1/2 (pow x 4)) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (+ 1/2 (+ (/ 1/2 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6))))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)> |
#<alt (copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x)> |
#<alt (* 1/2 (* (pow x 2) (- 1 (fabs x))))> |
#<alt (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* 1/2 (pow x 2))))> |
#<alt (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ 1/2 (* 1/2 (* x (- (fabs x) 1)))))))> |
#<alt (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ 1/2 (* x (+ (* -1/2 (pow x 2)) (* 1/2 (- (fabs x) 1))))))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/2 (/ (- 1 (fabs x)) (pow x 2)))))> |
#<alt (* x (- (+ 1/2 (* 1/2 (/ (- 1 (fabs x)) (pow x 2)))) (/ 1/2 (pow x 3))))> |
#<alt (* x (- (+ 1/2 (+ (* 1/2 (/ (- 1 (fabs x)) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 5))))) (/ 1/2 (pow x 3))))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1/2 (/ (- 1 (fabs x)) (pow x 2))) 1/2)))> |
#<alt (* -1 (* x (- (+ (* -1/2 (/ (- 1 (fabs x)) (pow x 2))) (/ 1/2 (pow x 3))) 1/2)))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (/ (- (fabs x) 1) (pow x 2))) 1/2) (pow x 3))) (* -1/2 (/ (- 1 (fabs x)) (pow x 2)))) 1/2)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (pow x 3))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 3) (- (* 1/2 (pow x 3)) 1/2))))> |
#<alt (* (pow x 2) (+ 1/2 (* (pow x 3) (- (* (pow x 3) (+ 1/2 (* -1/2 (pow x 3)))) 1/2))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (- 1/2 (* 1/2 (/ 1 (pow x 3)))) x)> |
#<alt (/ (- (+ 1/2 (/ 1/2 (pow x 6))) (* 1/2 (/ 1 (pow x 3)))) x)> |
#<alt (/ (- (+ 1/2 (/ 1/2 (pow x 6))) (+ (* 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 9))))) x)> |
#<alt (/ 1/2 x)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1/2) (pow x 3))) 1/2) 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 (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 (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 (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> |
#<alt (+ 1 (pow x 3))> |
#<alt (+ 1 (pow x 3))> |
#<alt (+ 1 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))> |
#<alt (pow x 3)> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))> |
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 3))))> |
#<alt (- 1 (fabs x))> |
#<alt (- (+ 1 (pow x 2)) (fabs x))> |
#<alt (- (+ 1 (pow x 2)) (fabs x))> |
#<alt (- (+ 1 (pow x 2)) (fabs x))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))> |
#<alt (pow x 2)> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))> |
#<alt (* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2))))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) (+ (* x x) (- 1 (fabs x)))) |
| 1.0ms | x | @ | -inf | (* (/ 1/2 (+ 1 (fabs x))) x) |
| 1.0ms | x | @ | inf | (* (/ (* x (* x 1/2)) (+ (* x x) -1)) (+ (fabs x) -1)) |
| 1.0ms | x | @ | 0 | (* (/ (* x (* x 1/2)) (+ (* x x) -1)) (+ (fabs x) -1)) |
| 0.0ms | x | @ | inf | (* (/ 1/2 (+ 1 (fabs x))) x) |
| 1× | batch-egg-rewrite |
| 5 748× | /-lowering-/.f32 |
| 5 748× | /-lowering-/.f64 |
| 4 858× | *-lowering-*.f32 |
| 4 858× | *-lowering-*.f64 |
| 3 378× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 206 |
| 1 | 207 | 206 |
| 2 | 2027 | 206 |
| 0 | 8871 | 188 |
| 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 (* (* (/ 1/2 (+ 1 (fabs x))) x) x) x) |
(* (* (/ 1/2 (+ 1 (fabs x))) x) x) |
(* (/ 1/2 (+ 1 (fabs x))) x) |
(/ 1/2 (+ 1 (fabs x))) |
(* (/ (* x (* x 1/2)) (+ (* x x) -1)) (+ (fabs x) -1)) |
(copysign (* (/ (* x (* x 1/2)) (+ (* x x) -1)) (+ (fabs x) -1)) x) |
(/ (* x (* x 1/2)) (+ (* x x) -1)) |
(* x (* x 1/2)) |
(copysign (* (/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) (+ (* x x) (- 1 (fabs x)))) x) |
(* (/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) (+ (* x x) (- 1 (fabs x)))) |
(/ (* x (* x 1/2)) (+ (* x (* x x)) 1)) |
(log (+ (* (* x x) 1/2) (+ 1 (fabs x)))) |
(copysign (log (+ (* (* x x) 1/2) (+ 1 (fabs x)))) x) |
(+ (* (* x x) 1/2) (+ 1 (fabs x))) |
(* x x) |
(fabs x) |
(+ (* x (* x x)) 1) |
(+ (* x x) (- 1 (fabs x))) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
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(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
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(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x)))) (*.f64 x x)) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1 binary64))))) (neg.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x) (neg.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (neg.f64 (fabs.f64 x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x)))) (*.f64 x x)) |
(fma.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))) (*.f64 x x)) |
(fma.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) (*.f64 x x)) |
(fma.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) |
(fma.f64 (/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x)))) (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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))))) (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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))))) (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)))) (neg.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x x) (fabs.f64 x)) (*.f64 (-.f64 (*.f64 x x) (fabs.f64 x)) (-.f64 (*.f64 x x) (fabs.f64 x))))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (*.f64 x x) (fabs.f64 x)) (-.f64 (*.f64 x x) (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))))) |
(/.f64 (-.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)))) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x))))) |
(/.f64 (-.f64 (*.f64 (-.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 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x x) (fabs.f64 x)) (-.f64 (*.f64 x x) (fabs.f64 x)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x))) (*.f64 (+.f64 (fma.f64 x x #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 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x x) (fabs.f64 x)) (*.f64 (-.f64 (*.f64 x x) (fabs.f64 x)) (-.f64 (*.f64 x x) (fabs.f64 x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (*.f64 x x) (fabs.f64 x)) (-.f64 (*.f64 x x) (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))))))) |
(/.f64 (neg.f64 (-.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)))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x x) (fabs.f64 x)) (-.f64 (*.f64 x x) (fabs.f64 x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (fabs.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (fabs.f64 x))))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x 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))))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (-.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) |
(*.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (fabs.f64 x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (fabs.f64 x)))) |
| 1× | egg-herbie |
| 14 002× | accelerator-lowering-fma.f32 |
| 14 002× | accelerator-lowering-fma.f64 |
| 4 742× | *-lowering-*.f32 |
| 4 742× | *-lowering-*.f64 |
| 3 138× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 244 | 3079 |
| 1 | 697 | 3048 |
| 2 | 2133 | 3006 |
| 3 | 7790 | 3006 |
| 0 | 8405 | 2766 |
| 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 (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) x) |
(copysign (* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) 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)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/ 1/2 (+ 1 (fabs x))) |
(* -1/2 (* (pow x 2) (- (fabs x) 1))) |
(* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* 1/2 (* (pow x 2) (- 1 (fabs x)))))) |
(* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x))))))) |
(* (pow x 2) (+ (* -1/2 (- (fabs x) 1)) (* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- 1 (fabs x)))) (* 1/2 (- 1 (fabs x))))))))) |
(* 1/2 (- (fabs x) 1)) |
(+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) |
(+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) |
(+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) |
(* 1/2 (- (fabs x) 1)) |
(+ (* 1/2 (- (fabs x) 1)) (* 1/2 (/ (- (fabs x) 1) (pow x 2)))) |
(+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 4))))) |
(+ (* 1/2 (- (fabs x) 1)) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 2))) (+ (* 1/2 (/ (- (fabs x) 1) (pow x 4))) (* 1/2 (/ (- (fabs x) 1) (pow x 6)))))) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (fabs x) 1)) (- (pow x 2) 1))) x) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)) |
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (pow x 2)) 1/2)) 1/2)) 1/2)) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 (pow x 2)))) |
(+ 1/2 (+ (/ 1/2 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) |
(+ 1/2 (+ (/ 1/2 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))) |
1/2 |
(+ 1/2 (* 1/2 (/ 1 (pow x 2)))) |
(+ 1/2 (+ (/ 1/2 (pow x 4)) (* 1/2 (/ 1 (pow x 2))))) |
(+ 1/2 (+ (/ 1/2 (pow x 4)) (+ (* 1/2 (/ 1 (pow x 2))) (* 1/2 (/ 1 (pow x 6)))))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (+ 1 (pow x 3)))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x) |
(copysign (* 1/2 (/ (* (pow x 2) (- (+ 1 (pow x 2)) (fabs x))) (- 1 (* -1 (pow x 3))))) x) |
(* 1/2 (* (pow x 2) (- 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* 1/2 (pow x 2)))) |
(* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ 1/2 (* 1/2 (* x (- (fabs x) 1))))))) |
(* (pow x 2) (+ (* 1/2 (- 1 (fabs x))) (* (pow x 2) (+ 1/2 (* x (+ (* -1/2 (pow x 2)) (* 1/2 (- (fabs x) 1)))))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/2 (/ (- 1 (fabs x)) (pow x 2))))) |
(* x (- (+ 1/2 (* 1/2 (/ (- 1 (fabs x)) (pow x 2)))) (/ 1/2 (pow x 3)))) |
(* x (- (+ 1/2 (+ (* 1/2 (/ (- 1 (fabs x)) (pow x 2))) (* 1/2 (/ (- (fabs x) 1) (pow x 5))))) (/ 1/2 (pow x 3)))) |
(* 1/2 x) |
(* -1 (* x (- (* -1/2 (/ (- 1 (fabs x)) (pow x 2))) 1/2))) |
(* -1 (* x (- (+ (* -1/2 (/ (- 1 (fabs x)) (pow x 2))) (/ 1/2 (pow x 3))) 1/2))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 1/2 (/ (- (fabs x) 1) (pow x 2))) 1/2) (pow x 3))) (* -1/2 (/ (- 1 (fabs x)) (pow x 2)))) 1/2))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/2 (pow x 3)))) |
(* (pow x 2) (+ 1/2 (* (pow x 3) (- (* 1/2 (pow x 3)) 1/2)))) |
(* (pow x 2) (+ 1/2 (* (pow x 3) (- (* (pow x 3) (+ 1/2 (* -1/2 (pow x 3)))) 1/2)))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/2 (/ 1 (pow x 3)))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 6))) (* 1/2 (/ 1 (pow x 3)))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 6))) (+ (* 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 (pow x 9))))) x) |
(/ 1/2 x) |
(* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (pow x 3))) 1/2) (pow x 3))) 1/2) (pow x 3))) 1/2) 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))))))) |
(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))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(fabs 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 (pow x 3)) |
(+ 1 (pow x 3)) |
(+ 1 (pow x 3)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(- 1 (fabs x)) |
(- (+ 1 (pow x 2)) (fabs x)) |
(- (+ 1 (pow x 2)) (fabs x)) |
(- (+ 1 (pow x 2)) (fabs x)) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(pow x 2) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
| 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 x (/.f64 (*.f64 x #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))) |
(+ (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))))))) |
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 x 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))))) (/.f64 #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))) |
(+ (log 1/2) (* -2 (log (/ 1 x)))) |
(fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x)))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))) |
(+.f64 (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (log.f64 x))) (log.f64 #s(literal 1/2 binary64)))) |
(+ (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))))))) |
(+.f64 (fma.f64 (fma.f64 (fabs.f64 x) #s(literal 8/3 binary64) #s(literal 8/3 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (log.f64 x))) (log.f64 #s(literal 1/2 binary64)))) |
(+ (log 1/2) (* -2 (log (/ -1 x)))) |
(fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 2 binary64) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (+ (* -2 (/ (pow (+ 1 (fabs x)) 2) (pow x 4))) (* 2 (/ (+ 1 (fabs x)) (pow x 2)))))) |
(fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x)))) |
(+ (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))))))) |
(+.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 (fabs.f64 x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 (fabs.f64 x) #s(literal 8/3 binary64) #s(literal 8/3 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 #s(literal 1/2 binary64)))) |
(fabs x) |
(fabs.f64 x) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
(* (pow x 2) (+ 1/2 (/ (fabs x) (pow x 2)))) |
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(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(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) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow x 3)) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (pow x 3)) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(+ 1 (pow x 3)) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(* (pow x 3) (+ 1 (/ 1 (pow x 3)))) |
(fma.f64 x (*.f64 x x) #s(literal 1 binary64)) |
(- 1 (fabs x)) |
(-.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(- (+ 1 (pow x 2)) (fabs x)) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(- (+ 1 (pow x 2)) (fabs x)) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(- (+ 1 (pow x 2)) (fabs x)) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ (fabs x) (pow x 2)))) |
(fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x))) |
Compiled 74 146 to 4 901 computations (93.4% saved)
30 alts after pruning (21 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 009 | 14 | 2 023 |
| Fresh | 0 | 7 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 2 011 | 30 | 2 041 |
| Status | Accuracy | Program |
|---|---|---|
| 4.8% | (copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x) | |
| 5.5% | (copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) | |
| 4.3% | (copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) | |
| 47.7% | (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) | |
| ✓ | 5.9% | (copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| 5.9% | (copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) | |
| 4.1% | (copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) | |
| 5.7% | (copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) | |
| 5.9% | (copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) | |
| 5.9% | (copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) | |
| 5.9% | (copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) | |
| 4.9% | (copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) | |
| ✓ | 6.1% | (copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
| 5.9% | (copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) | |
| 4.9% | (copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) | |
| 5.1% | (copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) | |
| 5.2% | (copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) | |
| 4.9% | (copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) | |
| 11.5% | (copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x) | |
| 6.7% | (copysign.f64 (neg.f64 (log.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x 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 x x)))))) x) | |
| 7.7% | (copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) | |
| ✓ | 51.0% | (copysign.f64 (log1p.f64 (fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x))) x) |
| ✓ | 61.7% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ✓ | 9.5% | (copysign.f64 (log.f64 (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
| ✓ | 34.7% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
| ✓ | 33.7% | (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
| 29.7% | (copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) | |
| ✓ | 23.3% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
| 23.7% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) | |
| ✓ | 7.9% | (copysign.f64 (log.f64 x) x) |
Compiled 1 301 to 510 computations (60.8% saved)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) 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 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(copysign.f64 (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 (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 (neg.f64 (log.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x 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 x x)))))) x) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (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.f64 (+.f64 (log1p.f64 (fma.f64 x x (*.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 (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)))))) x) |
(copysign.f64 (-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal 1 binary64))))) (log.f64 (*.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))))))) x) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (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) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.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)))) (*.f64 x x))) (/.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (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.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
2 calls:
| 11.0ms | (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 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) 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 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(copysign.f64 (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 (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 (neg.f64 (log.f64 (/.f64 (-.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x 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 x x)))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) 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 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
2 calls:
| 10.0ms | 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 |
|---|---|---|
| 99.0% | 3 | x |
| 99.0% | 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 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) 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 (fabs.f64 x) x) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (fabs.f64 x)))) x) |
(copysign.f64 (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 (-.f64 (fabs.f64 x) x) (/.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:
| 12.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | x |
| 98.9% | 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 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) 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) |
| Outputs |
|---|
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) 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:
| 8.0ms | x |
| 8.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 3 | x |
| 98.7% | 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 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) 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 (fabs.f64 x) 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:
| 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 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) 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:
| 7.0ms | x |
| 6.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 3 | x |
| 97.7% | 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 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) 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:
| 7.0ms | x |
| 6.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 2 | x |
| 75.9% | 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 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
2 calls:
| 7.0ms | x |
| 6.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 1 | x |
| 61.7% | 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 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) x) |
| Outputs |
|---|
(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (log.f64 x) x) |
2 calls:
| 6.0ms | 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 |
|---|---|---|
| 17.0% | 2 | x |
| 17.0% | 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 -6.0b remaining (-10.6%)
Threshold costs -6b (-10.6%)
| Inputs |
|---|
(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(copysign.f64 (fma.f64 (fabs.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 x x)) x) |
(copysign.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) x) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 (fabs.f64 x) #s(literal -1 binary64))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) x) |
(copysign.f64 (*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (fabs.f64 x))) x) |
(copysign.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) |
(copysign.f64 (fma.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(copysign.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fabs.f64 x))))) x) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
| Outputs |
|---|
(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
2 calls:
| 18.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.5% | 1 | x |
| 11.5% | 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 |
|---|---|---|
| 0.0ms | 7.237774452921876 | 16.912187246942114 |
| 0.0ms | -57.853421143197224 | -56.55214725570484 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00018182543619831948 | 7.237774452921876 |
| 0.0ms | -0.9285693489729838 | -0.0607180369141499 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00018182543619831948 | 7.237774452921876 |
| 0.0ms | -0.9285693489729838 | -0.0607180369141499 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00018182543619831948 | 7.237774452921876 |
| 0.0ms | -3.9087832179516586 | -0.9285693489729838 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00018182543619831948 | 7.237774452921876 |
| 0.0ms | -3.9087832179516586 | -0.9285693489729838 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00018182543619831948 | 7.237774452921876 |
| 0.0ms | -0.9285693489729838 | -0.0607180369141499 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00018182543619831948 | 7.237774452921876 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00018182543619831948 | 7.237774452921876 |
Compiled 16 to 13 computations (18.8% saved)
| 1× | egg-herbie |
| 30× | +-commutative_binary64 |
| 14× | *-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 461 |
| 1 | 102 | 461 |
| 2 | 112 | 461 |
| 3 | 118 | 461 |
| 4 | 121 | 461 |
| 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 -57 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 10 binary64)) (copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (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.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 -1/2 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) 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 7378697629483821/36893488147419103232 binary64)) (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 (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 -1/2 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) 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 7378697629483821/36893488147419103232 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 -2 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 7378697629483821/36893488147419103232 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 -2 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 7378697629483821/36893488147419103232 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 -1/2 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 7378697629483821/36893488147419103232 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 7378697629483821/36893488147419103232 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 7378697629483821/36893488147419103232 binary64)) (copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x) (copysign.f64 (log.f64 x) x)) |
(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) 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 -57 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 10 binary64)) (copysign.f64 (-.f64 (log.f64 (*.f64 (fma.f64 x x (fma.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))) (+.f64 (fabs.f64 x) (sqrt.f64 (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.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 -1/2 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) 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 7378697629483821/36893488147419103232 binary64)) (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 (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 -1/2 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) 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 7378697629483821/36893488147419103232 binary64)) (copysign.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/24 binary64) (*.f64 (/.f64 (*.f64 x x) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))))) (log1p.f64 (fabs.f64 x))) 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 -1/2 binary64)) (copysign.f64 (log.f64 (+.f64 (-.f64 (fabs.f64 x) 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 7378697629483821/36893488147419103232 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 -2 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 7378697629483821/36893488147419103232 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 -2 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 7378697629483821/36893488147419103232 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 -2 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 7378697629483821/36893488147419103232 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 -1/2 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 7378697629483821/36893488147419103232 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 -1/2 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 7378697629483821/36893488147419103232 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 7378697629483821/36893488147419103232 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 7378697629483821/36893488147419103232 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 7378697629483821/36893488147419103232 binary64)) (copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x) (copysign.f64 (log.f64 x) x)) |
(copysign.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
| 24 610× | accelerator-lowering-fma.f32 |
| 24 610× | accelerator-lowering-fma.f64 |
| 14 002× | accelerator-lowering-fma.f32 |
| 14 002× | accelerator-lowering-fma.f64 |
| 11 110× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 605 | 6506 |
| 1 | 1855 | 6126 |
| 2 | 6937 | 5826 |
| 0 | 8804 | 5356 |
| 0 | 9 | 44 |
| 1 | 44 | 44 |
| 2 | 317 | 44 |
| 3 | 3420 | 44 |
| 0 | 8354 | 39 |
| 0 | 33 | 228 |
| 1 | 198 | 189 |
| 2 | 1911 | 189 |
| 0 | 8136 | 170 |
| 0 | 169 | 782 |
| 1 | 490 | 754 |
| 2 | 1511 | 741 |
| 3 | 5413 | 691 |
| 0 | 8421 | 635 |
| 0 | 244 | 3079 |
| 1 | 697 | 3048 |
| 2 | 2133 | 3006 |
| 3 | 7790 | 3006 |
| 0 | 8405 | 2766 |
| 0 | 34 | 295 |
| 1 | 210 | 295 |
| 2 | 2011 | 295 |
| 0 | 8571 | 259 |
| 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 691 to 232 computations (66.4% saved)
Compiled 992 to 198 computations (80% saved)
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