
Time bar (total: 8.1s)
| 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 3 computations (25% saved)
ival-asinh: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 674.0ms | 8256× | 0 | valid |
ival-asinh: 89.0ms (88.5% of total)const: 8.0ms (8% of total)backward-pass: 3.0ms (3% of total)| 2× | egg-herbie |
| 16× | sum3-define |
| 12× | sub-neg |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 8× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 9 |
| 1 | 11 | 9 |
| 2 | 15 | 9 |
| 3 | 18 | 9 |
| 4 | 30 | 9 |
| 5 | 37 | 9 |
| 6 | 46 | 9 |
| 7 | 52 | 9 |
| 0 | 9 | 11 |
| 1 | 15 | 9 |
| 2 | 16 | 9 |
| 3 | 17 | 9 |
| 0 | 17 | 9 |
| 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) (hypot.f64 #s(literal 1 binary64) x))) x) |
| Inputs |
|---|
(asinh x) |
(asinh (neg x)) |
(neg (asinh (neg x))) |
| Outputs |
|---|
(asinh x) |
(asinh (neg x)) |
(neg (asinh (neg x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 121 | 0 | - | 0 | - | (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 64 | 0 | - | 0 | - | (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x x) #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 | - | #s(literal 1 binary64) |
| 106.0ms | 132× | 2 | valid |
| 38.0ms | 276× | 0 | valid |
| 37.0ms | 104× | 1 | valid |
Compiled 115 to 29 computations (74.8% saved)
ival-log: 47.0ms (39.5% of total)ival-add: 29.0ms (24.4% of total)backward-pass: 10.0ms (8.4% of total)ival-mult: 9.0ms (7.6% of total)ival-copysign: 8.0ms (6.7% of total)ival-sqrt: 7.0ms (5.9% of total)ival-fabs: 6.0ms (5% of total)const: 1.0ms (0.8% of total)Compiled 10 to 7 computations (30% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
| 8× | +-lowering-+.f64 |
| 8× | +-lowering-+.f32 |
| 4× | +-commutative |
| 2× | hypot-1-def |
| 2× | sqrt-lowering-sqrt.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 29 |
| 1 | 16 | 29 |
| 2 | 17 | 29 |
| 0 | 17 | 29 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x) |
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) |
(+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) |
(fabs x) |
x |
(sqrt (+ (* 1 1) (* x x))) |
1 |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) |
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) |
(+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) |
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) |
(fabs x) |
(fabs.f64 x) |
x |
(sqrt (+ (* 1 1) (* x x))) |
(hypot.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.9% | (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) |
| 145.0ms | 120× | 5 | exit |
| 21.0ms | 136× | 0 | valid |
Compiled 31 to 8 computations (74.2% saved)
ival-copysign: 29.0ms (25.7% of total)backward-pass: 29.0ms (25.7% of total)ival-log: 21.0ms (18.6% of total)compiled-spec: 15.0ms (13.3% of total)ival-fabs: 5.0ms (4.4% of total)ival-add: 5.0ms (4.4% of total)ival-mult: 5.0ms (4.4% of total)ival-sqrt: 3.0ms (2.7% of total)const: 1.0ms (0.9% of total)| Inputs |
|---|
#<alt (copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x)> |
#<alt (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))))> |
#<alt (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))> |
#<alt (fabs x)> |
| Outputs |
|---|
#<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 (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)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) |
| 1.0ms | x | @ | inf | (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) |
| 0.0ms | x | @ | -inf | (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) |
| 0.0ms | x | @ | inf | (+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) |
| 0.0ms | x | @ | -inf | (copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x) |
| 1× | batch-egg-rewrite |
| 1948× | sum5-define |
| 676× | sum4-define |
| 468× | sum3-define |
| 202× | fma-define |
| 182× | fnmadd-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 24 |
| 1 | 22 | 24 |
| 2 | 34 | 24 |
| 3 | 54 | 24 |
| 4 | 117 | 24 |
| 5 | 230 | 24 |
| 6 | 661 | 24 |
| 7 | 2134 | 24 |
| 8 | 2190 | 24 |
| 9 | 2232 | 24 |
| 10 | 2276 | 24 |
| 0 | 2451 | 24 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) x) |
(log (+ (fabs x) (sqrt (+ (* 1 1) (* x x))))) |
(+ (fabs x) (sqrt (+ (* 1 1) (* x x)))) |
(fabs x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) |
(+.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)))) |
(+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) |
(+.f64 (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)) |
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (hypot.f64 #s(literal 1 binary64) x) (fabs.f64 x)) |
(fma.f64 (hypot.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (fabs.f64 x)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x))) (fabs.f64 x)) |
(fma.f64 (sqrt.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x))) (sqrt.f64 #s(literal -1 binary64)) (fabs.f64 x)) |
(*.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) |
(*.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(fabs.f64 x) |
(fabs.f64 (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (fabs.f64 x)) |
| 1× | egg-herbie |
| 3784× | *-lowering-*.f32 |
| 3784× | *-lowering-*.f64 |
| 2044× | sum4-define |
| 1748× | sum3-define |
| 1744× | fnmadd-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 576 |
| 1 | 447 | 477 |
| 2 | 1535 | 465 |
| 3 | 5702 | 465 |
| 0 | 8709 | 465 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) |
(+ (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))))))) |
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) |
(+ (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))))))) |
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 45 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 x (*.f64 x #s(literal 1/720 binary64))))))))) |
(* -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))) |
(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.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)))) |
(+.f64 (log.f64 x) (+.f64 (+.f64 (/.f64 (fabs.f64 x) x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 x x))) (/.f64 (*.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/6 binary64) x)) (*.f64 x x)))) |
(* -1 (log (/ -1 x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) x) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1/6 binary64) x)) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) (fabs.f64 x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))))) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) 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 861 to 203 computations (76.4% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 15 | 66 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 51 | 16 | 67 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) | |
| 49.6% | (copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) | |
| ▶ | 10.3% | (copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
| ▶ | 63.0% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| 27.0% | (copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x) | |
| 26.2% | (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) | |
| 9.0% | (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) | |
| 7.2% | (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x) | |
| ▶ | 4.1% | (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x) |
| ✓ | 56.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
| ▶ | 9.9% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) |
| 20.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) | |
| 25.9% | (copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) | |
| 28.8% | (copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) | |
| 29.9% | (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x) | |
| ▶ | 9.8% | (copysign.f64 (log.f64 x) x) |
Compiled 478 to 311 computations (34.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x) |
| ✓ | cost-diff | 128 | (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) |
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) |
| ✓ | cost-diff | 128 | (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (fabs.f64 x) x) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) |
| ✓ | cost-diff | 0 | (copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 x) x) |
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (fabs.f64 x)) |
| ✓ | cost-diff | 0 | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| 268× | fma-define |
| 216× | fma-lowering-fma.f32 |
| 216× | fma-lowering-fma.f64 |
| 144× | sum3-define |
| 112× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 173 |
| 1 | 55 | 163 |
| 2 | 120 | 155 |
| 3 | 288 | 155 |
| 4 | 421 | 155 |
| 5 | 456 | 155 |
| 0 | 456 | 155 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(log (+ 1 (fabs x))) |
(fabs x) |
x |
(copysign (log x) x) |
(log x) |
x |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(+ (log x) (/ (fabs x) x)) |
(log x) |
x |
(/ (fabs x) x) |
(fabs x) |
(copysign (log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) x) |
(log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) |
(+ (fabs x) (+ 1 (* (* x x) 1/2))) |
(fabs x) |
x |
(+ 1 (* (* x x) 1/2)) |
1 |
(* (* x x) 1/2) |
(* x x) |
1/2 |
(copysign (log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) x) |
(log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) |
(+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8))))) |
(+ (fabs x) 1) |
(fabs x) |
x |
1 |
(* x (* x (+ 1/2 (* (* x x) -1/8)))) |
(* x (+ 1/2 (* (* x x) -1/8))) |
(+ 1/2 (* (* x x) -1/8)) |
1/2 |
(* (* x x) -1/8) |
(* x x) |
-1/8 |
| Outputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
x |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(log x) |
(log.f64 x) |
x |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(+ (log x) (/ (fabs x) x)) |
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) |
(log x) |
(log.f64 x) |
x |
(/ (fabs x) x) |
(/.f64 (fabs.f64 x) x) |
(fabs x) |
(fabs.f64 x) |
(copysign (log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) x) |
(log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) |
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(+ (fabs x) (+ 1 (* (* x x) 1/2))) |
(+.f64 #s(literal 1 binary64) (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))) |
(fabs x) |
(fabs.f64 x) |
x |
(+ 1 (* (* x x) 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(* (* x x) 1/2) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(* x x) |
(*.f64 x x) |
1/2 |
#s(literal 1/2 binary64) |
(copysign (log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) |
(log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) |
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) |
(+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) |
(+ (fabs x) 1) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
x |
1 |
#s(literal 1 binary64) |
(* x (* x (+ 1/2 (* (* x x) -1/8)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* x (+ 1/2 (* (* x x) -1/8))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(+ 1/2 (* (* x x) -1/8)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) -1/8) |
(*.f64 (*.f64 x x) #s(literal -1/8 binary64)) |
(* x x) |
(*.f64 x x) |
-1/8 |
#s(literal -1/8 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) |
| ✓ | accuracy | 78.6% | (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) |
| ✓ | 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 | 78.6% | (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 (fabs.f64 x) x) |
| ✓ | accuracy | 100.0% | (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) |
| ✓ | accuracy | 100.0% | (log.f64 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% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (fabs.f64 x)) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| 119.0ms | 35× | 2 | valid |
| 101.0ms | 197× | 0 | invalid |
| 23.0ms | 23× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 196 to 27 computations (86.2% saved)
ival-log: 34.0ms (25.1% of total)ival-add: 29.0ms (21.4% of total)ival-mult: 28.0ms (20.7% of total)compiled-spec: 17.0ms (12.6% of total)ival-copysign: 13.0ms (9.6% of total)backward-pass: 8.0ms (5.9% of total)ival-div: 3.0ms (2.2% of total)ival-fabs: 3.0ms (2.2% of total)const: 1.0ms (0.7% of total)| Inputs |
|---|
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (fabs x)> |
#<alt (copysign (log x) x)> |
#<alt (log x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (+ (log x) (/ (fabs x) x))> |
#<alt (/ (fabs x) x)> |
#<alt (log (+ (fabs x) (+ 1 (* (* x x) 1/2))))> |
#<alt (copysign (log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) x)> |
#<alt (+ (fabs x) (+ 1 (* (* x x) 1/2)))> |
#<alt (log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8))))))> |
#<alt (copysign (log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) x)> |
#<alt (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))> |
#<alt (+ (fabs x) 1)> |
#<alt (* x x)> |
#<alt (* (* x x) 1/2)> |
#<alt (* x (* x (+ 1/2 (* (* x x) -1/8))))> |
#<alt (* x (+ 1/2 (* (* x x) -1/8)))> |
| Outputs |
|---|
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (copysign (log (+ 1 (fabs x))) x)> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (log (+ 1 (fabs x)))> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (copysign (log x) x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (copysign (+ (log x) (/ (fabs x) x)) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (+ (fabs x) (* x (log x))) x)> |
#<alt (/ (+ (fabs x) (* x (log x))) x)> |
#<alt (/ (+ (fabs x) (* x (log x))) x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (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) (+ (* -1/8 (/ (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 (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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (+ (log -1/8) (* -4 (log (/ 1 x))))> |
#<alt (- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/8) (* -4 (log (/ -1 x))))> |
#<alt (- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) 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 (* -1/8 (pow x 2))))))> |
#<alt (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))> |
#<alt (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (+ 1 (fabs x))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/2 (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 (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))> |
#<alt (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/8 (pow x 2))))> |
#<alt (* x (+ 1/2 (* -1/8 (pow x 2))))> |
#<alt (* x (+ 1/2 (* -1/8 (pow x 2))))> |
#<alt (* -1/8 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* -1/8 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2))))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 65.0ms | x | @ | 0 | (log (+ 1 (fabs x))) |
| 34.0ms | x | @ | -inf | (log x) |
| 24.0ms | x | @ | inf | (log (+ 1 (fabs x))) |
| 16.0ms | x | @ | -inf | (log (+ 1 (fabs x))) |
| 14.0ms | x | @ | 0 | (log x) |
| 1× | batch-egg-rewrite |
| 2056× | fma-lowering-fma.f32 |
| 2056× | fma-lowering-fma.f64 |
| 1788× | fmsub-define |
| 1634× | fnmsub-define |
| 1468× | fmm-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 137 |
| 1 | 65 | 129 |
| 2 | 169 | 121 |
| 3 | 489 | 121 |
| 4 | 1259 | 121 |
| 5 | 5537 | 121 |
| 0 | 8084 | 121 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(log (+ 1 (fabs x))) |
(fabs x) |
(copysign (log x) x) |
(log x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(+ (log x) (/ (fabs x) x)) |
(/ (fabs x) x) |
(log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) |
(copysign (log (+ (fabs x) (+ 1 (* (* x x) 1/2)))) x) |
(+ (fabs x) (+ 1 (* (* x x) 1/2))) |
(log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) |
(copysign (log (+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8)))))) x) |
(+ (+ (fabs x) 1) (* x (* x (+ 1/2 (* (* x x) -1/8))))) |
(+ (fabs x) 1) |
(* x x) |
(* (* x x) 1/2) |
(* x (* x (+ 1/2 (* (* x x) -1/8)))) |
(* x (+ 1/2 (* (* x x) -1/8))) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(+.f64 (log1p.f64 (fabs.f64 x)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log1p.f64 (fabs.f64 x))) |
(log1p.f64 (fabs.f64 x)) |
(+.f64 (fabs.f64 x) #s(literal 0 binary64)) |
(+.f64 (fabs.f64 x) (-.f64 (fabs.f64 x) (fabs.f64 x))) |
(+.f64 #s(literal 0 binary64) (fabs.f64 x)) |
(exp.f64 (log.f64 (fabs.f64 x))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 1 binary64))) |
(fabs.f64 x) |
(fabs.f64 (-.f64 #s(literal 0 binary64) x)) |
(-.f64 (fabs.f64 x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (fabs.f64 x)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(pow.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(*.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) |
(copysign.f64 (log.f64 x) x) |
(log.f64 x) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (log.f64 (exp.f64 (log.f64 #s(literal -1 binary64)))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (log.f64 x) #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (log.f64 x) #s(literal 0 binary64)) |
(fma.f64 (log.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(*.f64 #s(literal 1 binary64) (log.f64 x)) |
(*.f64 (log.f64 x) #s(literal 1 binary64)) |
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(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
| 1× | egg-herbie |
| 4058× | *-lowering-*.f32 |
| 4058× | *-lowering-*.f64 |
| 2392× | +-lowering-+.f64 |
| 2392× | +-lowering-+.f32 |
| 1468× | fma-lowering-fma.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 183 | 2068 |
| 1 | 533 | 1819 |
| 2 | 1830 | 1781 |
| 3 | 6369 | 1778 |
| 0 | 8192 | 1778 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign (log (+ 1 (fabs x))) x) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(log (+ 1 (fabs x))) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(copysign (log x) x) |
(log x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(/ (fabs x) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(/ (+ (fabs x) (* x (log x))) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(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))))) |
(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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log -1/8) (* -4 (log (/ 1 x)))) |
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2)))) |
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2)))) |
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2)))) |
(+ (log -1/8) (* -4 (log (/ -1 x)))) |
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2)))) |
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2)))) |
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2)))) |
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) 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 (* -1/8 (pow x 2)))))) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8)) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8)) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8)) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8)) |
(+ 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)) |
(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 (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)) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) |
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/8 (pow x 2)))) |
(* x (+ 1/2 (* -1/8 (pow x 2)))) |
(* x (+ 1/2 (* -1/8 (pow x 2)))) |
(* -1/8 (pow x 3)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* -1/8 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(copysign (log x) x) |
(copysign.f64 (log.f64 x) x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign (+ (log x) (/ (fabs x) x)) x) |
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(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))))) 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) (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))) |
(* -1/8 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* -1/8 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (+ (/ 1 (pow x 4)) (/ (fabs x) (pow x 4)))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fabs.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(+ 1 (fabs x)) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* -1/8 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* -1/8 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* x (+ 1/2 (* -1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* x (+ 1/2 (* -1/8 (pow x 2)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* -1/8 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(* -1/8 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) |
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
(* -1 (* (pow x 3) (- 1/8 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) |
Compiled 16959 to 3020 computations (82.2% saved)
17 alts after pruning (12 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 992 | 4 | 996 |
| Fresh | 2 | 8 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 995 | 17 | 1012 |
| Status | Accuracy | Program |
|---|---|---|
| 9.8% | (copysign.f64 (/.f64 (fabs.f64 x) x) x) | |
| ✓ | 10.3% | (copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
| ▶ | 62.9% | (copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
| 47.6% | (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) | |
| 53.4% | (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) | |
| ✓ | 63.0% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| ▶ | 27.0% | (copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x) |
| 26.2% | (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) | |
| ▶ | 9.0% | (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
| 7.2% | (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x) | |
| ✓ | 4.1% | (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x) |
| ✓ | 56.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
| ▶ | 20.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| 25.9% | (copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) | |
| ▶ | 28.8% | (copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
| 29.9% | (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x) | |
| ✓ | 9.8% | (copysign.f64 (log.f64 x) x) |
Compiled 395 to 264 computations (33.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
| ✓ | cost-diff | 384 | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x) |
| ✓ | cost-diff | 0 | (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x) |
| ✓ | cost-diff | 256 | (*.f64 x (/.f64 (fabs.f64 x) x)) |
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| ✓ | cost-diff | 128 | (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 0 binary64) x) |
| ✓ | cost-diff | 0 | (log.f64 (-.f64 #s(literal 0 binary64) x)) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fabs.f64 x)) |
| ✓ | cost-diff | 0 | (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| 1624× | sum5-define |
| 1594× | *-lowering-*.f32 |
| 1594× | *-lowering-*.f64 |
| 1346× | fmsub-define |
| 1334× | fnmadd-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 150 |
| 1 | 60 | 150 |
| 2 | 112 | 150 |
| 3 | 212 | 126 |
| 4 | 533 | 126 |
| 5 | 1036 | 126 |
| 6 | 4295 | 126 |
| 0 | 8230 | 126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x) |
(log (+ 1 (/ 1 (/ 1 (fabs x))))) |
(/ 1 (/ 1 (fabs x))) |
1 |
(/ 1 (fabs x)) |
(fabs x) |
x |
(copysign (log (- 0 x)) x) |
(log (- 0 x)) |
(- 0 x) |
0 |
x |
(copysign (log (+ (fabs x) 1)) x) |
(log (+ (fabs x) 1)) |
(+ (fabs x) 1) |
(fabs x) |
x |
1 |
(copysign (log (- (* x (/ (fabs x) x)) x)) x) |
(log (- (* x (/ (fabs x) x)) x)) |
(- (* x (/ (fabs x) x)) x) |
(* x (/ (fabs x) x)) |
x |
(/ (fabs x) x) |
(fabs x) |
(copysign (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) x) |
(log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) |
(* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))) |
x |
(+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))) |
(+ 1 (/ (fabs x) x)) |
1 |
(/ (fabs x) x) |
(fabs x) |
(/ 1/2 (* x x)) |
1/2 |
(* x x) |
| Outputs |
|---|
(copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log (+ 1 (/ 1 (/ 1 (fabs x))))) |
(log1p.f64 (fabs.f64 x)) |
(/ 1 (/ 1 (fabs x))) |
(fabs.f64 x) |
1 |
#s(literal 1 binary64) |
(/ 1 (fabs x)) |
(/.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
x |
(copysign (log (- 0 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(log (- 0 x)) |
(log.f64 (-.f64 #s(literal 0 binary64) x)) |
(- 0 x) |
(-.f64 #s(literal 0 binary64) x) |
0 |
#s(literal 0 binary64) |
x |
(copysign (log (+ (fabs x) 1)) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(log (+ (fabs x) 1)) |
(log1p.f64 (fabs.f64 x)) |
(+ (fabs x) 1) |
(+.f64 #s(literal 1 binary64) (fabs.f64 x)) |
(fabs x) |
(fabs.f64 x) |
x |
1 |
#s(literal 1 binary64) |
(copysign (log (- (* x (/ (fabs x) x)) x)) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(log (- (* x (/ (fabs x) x)) x)) |
(log.f64 (-.f64 (fabs.f64 x) x)) |
(- (* x (/ (fabs x) x)) x) |
(-.f64 (fabs.f64 x) x) |
(* x (/ (fabs x) x)) |
(fabs.f64 x) |
x |
(/ (fabs x) x) |
(/.f64 (fabs.f64 x) x) |
(fabs x) |
(fabs.f64 x) |
(copysign (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) x) |
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) |
(log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) |
(* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))) |
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x))) |
x |
(+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) |
(+ 1 (/ (fabs x) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) |
1 |
#s(literal 1 binary64) |
(/ (fabs x) x) |
(/.f64 (fabs.f64 x) x) |
(fabs x) |
(fabs.f64 x) |
(/ 1/2 (* x x)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
1/2 |
#s(literal 1/2 binary64) |
(* x x) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x (/.f64 (fabs.f64 x) x)) |
| ✓ | accuracy | 100.0% | (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| ✓ | accuracy | 100.0% | (+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 0 binary64) x) |
| ✓ | accuracy | 100.0% | (log.f64 (-.f64 #s(literal 0 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (fabs.f64 x)) |
| ✓ | accuracy | 100.0% | (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| 134.0ms | 256× | 0 | invalid |
Compiled 189 to 28 computations (85.2% saved)
ival-log: 45.0ms (49.5% of total)ival-copysign: 11.0ms (12.1% of total)compiled-spec: 9.0ms (9.9% of total)ival-div: 7.0ms (7.7% of total)ival-add: 7.0ms (7.7% of total)ival-mult: 5.0ms (5.5% of total)ival-sub: 3.0ms (3.3% of total)ival-fabs: 2.0ms (2.2% of total)const: 1.0ms (1.1% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ 1 (fabs x)))> |
#<alt (copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x)> |
#<alt (log (+ 1 (/ 1 (/ 1 (fabs x)))))> |
#<alt (/ 1 (fabs x))> |
#<alt (copysign (log (- 0 x)) x)> |
#<alt (log (- 0 x))> |
#<alt (- 0 x)> |
#<alt (log (+ (fabs x) 1))> |
#<alt (copysign (log (+ (fabs x) 1)) x)> |
#<alt (+ (fabs x) 1)> |
#<alt (fabs x)> |
#<alt (* x (/ (fabs x) x))> |
#<alt (copysign (log (- (* x (/ (fabs x) x)) x)) x)> |
#<alt (log (- (* x (/ (fabs x) x)) x))> |
#<alt (- (* x (/ (fabs x) x)) x)> |
#<alt (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))> |
#<alt (copysign (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) x)> |
#<alt (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))))> |
#<alt (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (copysign (log (+ 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 (/ 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 (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (* -1 x)) x)> |
#<alt (copysign (log (* -1 x)) x)> |
#<alt (copysign (log (* -1 x)) x)> |
#<alt (copysign (log (* -1 x)) x)> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 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 (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 (+ 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 (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 (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (copysign (log (- (fabs x) x)) x)> |
#<alt (copysign (log (- (fabs x) x)) x)> |
#<alt (copysign (log (- (fabs x) x)) x)> |
#<alt (copysign (log (- (fabs x) x)) x)> |
#<alt (copysign (log (- (fabs x) x)) x)> |
#<alt (copysign (log (- (fabs x) x)) x)> |
#<alt (copysign (log (- (fabs x) x)) x)> |
#<alt (copysign (log (- (fabs x) x)) x)> |
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)> |
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)> |
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)> |
#<alt (copysign (log (+ (fabs x) (* -1 x))) x)> |
#<alt (log (fabs x))> |
#<alt (+ (log (fabs x)) (* -1 (/ x (fabs x))))> |
#<alt (+ (log (fabs x)) (* x (- (* -1/2 (/ x (pow (fabs x) 2))) (/ 1 (fabs x)))))> |
#<alt (+ (log (fabs x)) (* x (- (* x (- (* -1/3 (/ x (pow (fabs x) 3))) (* 1/2 (/ 1 (pow (fabs x) 2))))) (/ 1 (fabs x)))))> |
#<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 (/ (pow (fabs x) 2) (pow x 2))))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (fabs x) x)) (+ (* -1/2 (/ (pow (fabs x) 2) (pow x 2))) (* -1/3 (/ (pow (fabs x) 3) (pow x 3)))))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* 1/2 (/ (pow (fabs x) 2) x))) x)))> |
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/2 (pow (fabs x) 2)) (* -1/3 (/ (pow (fabs x) 3) x))) 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 (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* x (fabs x))) x)> |
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)> |
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)> |
#<alt x> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))> |
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x)> |
#<alt (+ (log 1/2) (* -1 (log x)))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))> |
#<alt (/ 1/2 (pow x 2))> |
#<alt (/ (+ 1/2 (* x (fabs x))) (pow x 2))> |
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))> |
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (/ (fabs x) x))> |
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))> |
#<alt (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))> |
#<alt 1> |
#<alt (+ 1 (/ (fabs x) x))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))> |
#<alt (+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x)))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | 0 | (log (- 0 x)) |
| 8.0ms | x | @ | inf | (log (- 0 x)) |
| 0.0ms | x | @ | 0 | (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) |
| 0.0ms | x | @ | inf | (/ 1 (fabs x)) |
| 0.0ms | x | @ | -inf | (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) |
| 1× | batch-egg-rewrite |
| 2196× | /-lowering-/.f32 |
| 2196× | /-lowering-/.f64 |
| 1842× | *-lowering-*.f32 |
| 1842× | *-lowering-*.f64 |
| 1210× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 116 |
| 1 | 93 | 116 |
| 2 | 364 | 92 |
| 3 | 2606 | 92 |
| 0 | 8447 | 92 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ 1 (fabs x))) |
(copysign (log (+ 1 (/ 1 (/ 1 (fabs x))))) x) |
(log (+ 1 (/ 1 (/ 1 (fabs x))))) |
(/ 1 (fabs x)) |
(copysign (log (- 0 x)) x) |
(log (- 0 x)) |
(- 0 x) |
(log (+ (fabs x) 1)) |
(copysign (log (+ (fabs x) 1)) x) |
(+ (fabs x) 1) |
(fabs x) |
(* x (/ (fabs x) x)) |
(copysign (log (- (* x (/ (fabs x) x)) x)) x) |
(log (- (* x (/ (fabs x) x)) x)) |
(- (* x (/ (fabs x) x)) x) |
(* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x)))) |
(copysign (log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) x) |
(log (* x (+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))))) |
(+ (+ 1 (/ (fabs x) x)) (/ 1/2 (* x x))) |
(* x x) |
| Outputs |
|---|
(+.f64 (fabs.f64 x) #s(literal 0 binary64)) |
(+.f64 (fabs.f64 x) (*.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x))) |
(+.f64 (fabs.f64 x) (*.f64 (/.f64 (fabs.f64 x) x) #s(literal 0 binary64))) |
(+.f64 #s(literal 0 binary64) (fabs.f64 x)) |
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (fabs.f64 x)) |
(+.f64 (*.f64 (/.f64 (fabs.f64 x) x) #s(literal 0 binary64)) (fabs.f64 x)) |
(exp.f64 (log.f64 (fabs.f64 x))) |
(fabs.f64 x) |
(fabs.f64 (-.f64 #s(literal 0 binary64) x)) |
(-.f64 (fabs.f64 x) (/.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x))) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x (fabs.f64 x)))) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) #s(literal 0 binary64)) |
(fma.f64 x (/.f64 (fabs.f64 x) x) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 (fabs.f64 x) x) x #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (fabs.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x (/.f64 x (fabs.f64 x))) |
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(-.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) |
(-.f64 (/.f64 (fabs.f64 x) x) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) #s(literal 1 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) #s(literal 0 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x) #s(literal 1 binary64)) |
(fma.f64 (fabs.f64 x) (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 (fabs.f64 x) x) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 (/.f64 (fabs.f64 x) x) (/.f64 x (/.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 (fabs.f64 x) x))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 (fabs.f64 x) x)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) (/.f64 (fabs.f64 x) x))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 x (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fabs.f64 x) x))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 x (/.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) |
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x (fabs.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (fabs.f64 x) x)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 #s(literal 0 binary64) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(literal 0 binary64)) |
(+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) |
(+.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(-.f64 (*.f64 x x) #s(literal 0 binary64)) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
| 1× | egg-herbie |
| 3008× | fma-lowering-fma.f32 |
| 3008× | fma-lowering-fma.f64 |
| 2948× | *-lowering-*.f32 |
| 2948× | *-lowering-*.f64 |
| 1832× | sum5-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 1529 |
| 1 | 573 | 1398 |
| 2 | 1806 | 1355 |
| 3 | 6077 | 1353 |
| 0 | 8412 | 1353 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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 (+ 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))) |
(/ 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)) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (* -1 x)) x) |
(copysign (log (* -1 x)) x) |
(copysign (log (* -1 x)) x) |
(copysign (log (* -1 x)) x) |
(+ (log -1) (log x)) |
(+ (log -1) (log x)) |
(+ (log -1) (log x)) |
(+ (log -1) (log 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)))) |
(* -1 (log (/ -1 x))) |
(* -1 (log (/ -1 x))) |
(* -1 (log (/ -1 x))) |
(* -1 (log (/ -1 x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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))) |
(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) |
(+ 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)) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs x) |
(fabs 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))))) |
(/ 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 (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) 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 (pow x 2)) |
(/ (+ 1/2 (* x (fabs x))) (pow x 2)) |
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2)) |
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2)) |
1 |
(+ 1 (/ (fabs x) x)) |
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) |
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) |
1 |
(+ 1 (/ (fabs x) x)) |
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x))) |
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) 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) |
| Outputs |
|---|
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(copysign (log (+ 1 (fabs x))) x) |
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(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) |
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(log (+ 1 (fabs x))) |
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(copysign (log (neg x)) x) |
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(copysign (log (neg x)) x) |
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(copysign (log (* -1 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(+ (log -1) (log x)) |
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(+ (log -1) (log x)) |
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
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(-.f64 #s(literal 0 binary64) x) |
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(-.f64 #s(literal 0 binary64) x) |
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(log (+ 1 (fabs x))) |
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(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(copysign (log (+ 1 (fabs x))) x) |
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(copysign (log (+ 1 (fabs x))) x) |
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(copysign (log (+ 1 (fabs x))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign (log (+ 1 (fabs x))) x) |
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(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) |
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(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(+ 1 (fabs x)) |
(+.f64 (fabs.f64 x) #s(literal 1 binary64)) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(fabs x) |
(fabs.f64 x) |
(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) |
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(fabs.f64 x) |
(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 (- (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) 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) |
(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) 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) |
(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) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
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(log.f64 (fabs.f64 x)) |
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(* -1 (log (/ -1 x))) |
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(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x) |
(copysign (log (* x (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) x))))) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))))) x) |
(+ (log 1/2) (* -1 (log x))) |
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
(+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x))))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (-.f64 (*.f64 x (*.f64 (fabs.f64 x) #s(literal 2 binary64))) (log.f64 x))) |
(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x)))))) |
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 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)))))))))) |
(+.f64 (*.f64 x (+.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (fabs.f64 x) (+.f64 #s(literal -24 binary64) (*.f64 (*.f64 x x) #s(literal 16 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64))))))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.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))) |
(+.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))) |
(+ (* -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)))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))))) (*.f64 x (*.f64 x x))) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x))) |
(+.f64 (/.f64 (fabs.f64 x) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) 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)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 (*.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal -3 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))) (/.f64 #s(literal 1/6 binary64) x)) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x)) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(/ 1/2 (pow x 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(/ (+ 1/2 (* x (fabs x))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (fabs.f64 x))) x) x) |
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) (*.f64 x x)) |
(/ (+ 1/2 (* x (+ x (fabs x)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) (*.f64 x x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (fabs x) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) |
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) |
(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) |
(+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (fabs x) x)) |
(+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) |
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(+ 1 (* -1 (/ (- (* -1 (fabs x)) (* 1/2 (/ 1 x))) x))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 12292 to 2669 computations (78.3% saved)
16 alts after pruning (10 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 933 | 4 | 937 |
| Fresh | 1 | 6 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 4 | 5 |
| Total | 938 | 16 | 954 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 9.8% | (copysign.f64 (/.f64 (fabs.f64 x) x) x) |
| ✓ | 62.9% | (copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
| ▶ | 47.6% | (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) |
| ▶ | 53.4% | (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
| ✓ | 63.0% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| 28.6% | (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) | |
| ▶ | 28.7% | (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
| 27.0% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) | |
| 26.2% | (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) | |
| 7.2% | (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x) | |
| ✓ | 4.1% | (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x) |
| ✓ | 56.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
| ✓ | 20.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| 25.9% | (copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) | |
| ▶ | 9.0% | (copysign.f64 (log.f64 (neg.f64 x)) x) |
| ✓ | 9.8% | (copysign.f64 (log.f64 x) x) |
Compiled 335 to 225 computations (32.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))) |
| ✓ | cost-diff | 0 | (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) |
| ✓ | cost-diff | 0 | (+.f64 x (fabs.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | cost-diff | 0 | (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.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 | (copysign.f64 (/.f64 (fabs.f64 x) x) x) |
| ✓ | cost-diff | -64 | (neg.f64 x) |
| ✓ | cost-diff | 0 | (log.f64 (neg.f64 x)) |
| ✓ | cost-diff | 0 | (copysign.f64 (log.f64 (neg.f64 x)) x) |
| ✓ | cost-diff | 0 | (fabs.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
| 2694× | sum3-define |
| 2174× | fnmadd-define |
| 1714× | fma-lowering-fma.f32 |
| 1714× | fma-lowering-fma.f64 |
| 1646× | fmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 165 |
| 1 | 64 | 156 |
| 2 | 138 | 151 |
| 3 | 317 | 151 |
| 4 | 651 | 151 |
| 5 | 1674 | 151 |
| 6 | 3380 | 151 |
| 7 | 4640 | 151 |
| 8 | 7847 | 151 |
| 0 | 8001 | 151 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x) |
(log (+ 1 (+ (fabs x) (* x (* x 1/2))))) |
(+ (fabs x) (* x (* x 1/2))) |
(fabs x) |
x |
(* x (* x 1/2)) |
(* x 1/2) |
1/2 |
(copysign (log (neg x)) x) |
(log (neg x)) |
(neg x) |
x |
(copysign (/ (fabs x) x) x) |
(/ (fabs x) x) |
(fabs x) |
x |
(copysign (log (- (+ x (fabs x)) (/ -1/2 x))) x) |
(log (- (+ x (fabs x)) (/ -1/2 x))) |
(- (+ x (fabs x)) (/ -1/2 x)) |
(+ x (fabs x)) |
x |
(fabs x) |
(/ -1/2 x) |
-1/2 |
(copysign (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) x) |
(log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) |
(+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))) |
(fabs x) |
x |
(* (* x x) (- 1/2 (* (* x x) 1/8))) |
(* x x) |
(- 1/2 (* (* x x) 1/8)) |
1/2 |
(* (* x x) 1/8) |
1/8 |
| Outputs |
|---|
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(log (+ 1 (+ (fabs x) (* x (* x 1/2))))) |
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
(+ (fabs x) (* x (* x 1/2))) |
(+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(fabs x) |
(fabs.f64 x) |
x |
(* x (* x 1/2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(copysign (log (neg x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(log (neg x)) |
(log.f64 (-.f64 #s(literal 0 binary64) x)) |
(neg x) |
(-.f64 #s(literal 0 binary64) x) |
x |
(copysign (/ (fabs x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(/ (fabs x) x) |
(/.f64 (fabs.f64 x) x) |
(fabs x) |
(fabs.f64 x) |
x |
(copysign (log (- (+ x (fabs x)) (/ -1/2 x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) x) |
(log (- (+ x (fabs x)) (/ -1/2 x))) |
(log.f64 (+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x)))) |
(- (+ x (fabs x)) (/ -1/2 x)) |
(+.f64 (fabs.f64 x) (+.f64 x (/.f64 #s(literal 1/2 binary64) x))) |
(+ x (fabs x)) |
(+.f64 x (fabs.f64 x)) |
x |
(fabs x) |
(fabs.f64 x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
(copysign (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) x) |
(copysign.f64 (log1p.f64 (-.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) |
(log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) |
(log1p.f64 (-.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) |
(+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))) |
(-.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64))))) |
(fabs x) |
(fabs.f64 x) |
x |
(* (* x x) (- 1/2 (* (* x x) 1/8))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64)))) |
(* x x) |
(*.f64 x x) |
(- 1/2 (* (* x x) 1/8)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* (* x x) 1/8) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (+.f64 x (fabs.f64 x)) |
| ✓ | accuracy | 100.0% | (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (copysign.f64 (/.f64 (fabs.f64 x) x) x) |
| ✓ | accuracy | 100.0% | (/.f64 (fabs.f64 x) x) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| ✓ | accuracy | 100.0% | (copysign.f64 (log.f64 (neg.f64 x)) x) |
| ✓ | accuracy | 100.0% | (neg.f64 x) |
| ✓ | accuracy | 100.0% | (log.f64 (neg.f64 x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (fabs.f64 x) |
| 107.0ms | 256× | 0 | invalid |
Compiled 182 to 28 computations (84.6% saved)
ival-copysign: 12.0ms (19.4% of total)compiled-spec: 12.0ms (19.4% of total)ival-log: 11.0ms (17.8% of total)ival-mult: 10.0ms (16.2% of total)ival-add: 7.0ms (11.3% of total)ival-div: 4.0ms (6.5% of total)ival-sub: 3.0ms (4.9% of total)ival-fabs: 2.0ms (3.2% of total)const: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x)> |
#<alt (log (+ 1 (+ (fabs x) (* x (* x 1/2)))))> |
#<alt (+ (fabs x) (* x (* x 1/2)))> |
#<alt (fabs x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (log (neg x))> |
#<alt (neg x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (copysign (log (- (+ x (fabs x)) (/ -1/2 x))) x)> |
#<alt (log (- (+ x (fabs x)) (/ -1/2 x)))> |
#<alt (- (+ x (fabs x)) (/ -1/2 x))> |
#<alt (+ x (fabs x))> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) x)> |
#<alt (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))))> |
#<alt (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8))))> |
#<alt (* x 1/2)> |
#<alt (* x (* x 1/2))> |
#<alt (* x x)> |
#<alt (* (* x x) 1/8)> |
| 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 (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (fabs x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (neg x)) x)> |
#<alt (copysign (log (* -1 x)) x)> |
#<alt (copysign (log (* -1 x)) x)> |
#<alt (copysign (log (* -1 x)) x)> |
#<alt (copysign (log (* -1 x)) x)> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (log x))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ 1 x))))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 (log (/ -1 x)))> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (* -1 x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (copysign (/ (fabs x) x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (/ (fabs x) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)> |
#<alt (copysign (log (- (+ (fabs x) (* 1/2 (/ 1 x))) (* -1 x))) x)> |
#<alt (+ (log 1/2) (* -1 (log x)))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* 2 (* x (fabs x)))))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x))))))> |
#<alt (+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 2 (fabs x)) (* x (+ (* 1/6 (* x (+ (* -24 (fabs x)) (* 16 (pow (fabs x) 3))))) (* 1/2 (+ 4 (* -4 (pow (fabs x) 2))))))))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ (fabs x) x))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ (fabs x) x)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (* -1 (fabs x)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (fabs x) 3)) (* 3 (fabs x))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* x (fabs x))) x)> |
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)> |
#<alt (/ (+ 1/2 (* x (+ x (fabs x)))) x)> |
#<alt x> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))> |
#<alt (* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (+ (fabs x) (* 1/2 (/ 1 x))) x)) 1)))> |
#<alt (fabs x)> |
#<alt (+ x (fabs x))> |
#<alt (+ x (fabs x))> |
#<alt (+ x (fabs x))> |
#<alt x> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt (* x (+ 1 (/ (fabs x) x)))> |
#<alt x> |
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))> |
#<alt (* -1 (* x (- (* -1 (/ (fabs x) x)) 1)))> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)> |
#<alt (copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x)> |
#<alt (copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) 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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x)))))))> |
#<alt (+ (log -1/8) (* -4 (log (/ 1 x))))> |
#<alt (- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/8) (* -4 (log (/ -1 x))))> |
#<alt (- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2))))> |
#<alt (- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2))))> |
#<alt (fabs x)> |
#<alt (+ (fabs x) (* 1/2 (pow x 2)))> |
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))> |
#<alt (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))> |
#<alt (* -1/8 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))> |
#<alt (* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8))> |
#<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 (* 1/2 (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 (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (* x 1/2) |
| 0.0ms | x | @ | inf | (* (* x x) 1/8) |
| 0.0ms | x | @ | 0 | (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) |
| 0.0ms | x | @ | inf | (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) |
| 0.0ms | x | @ | 0 | (* x 1/2) |
| 1× | batch-egg-rewrite |
| 1620× | sum3-define |
| 1576× | sum4-define |
| 1360× | *-lowering-*.f32 |
| 1360× | *-lowering-*.f64 |
| 1284× | fnmadd-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 132 |
| 1 | 78 | 123 |
| 2 | 223 | 120 |
| 3 | 701 | 120 |
| 4 | 2483 | 120 |
| 0 | 8547 | 120 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ 1 (+ (fabs x) (* x (* x 1/2))))) x) |
(log (+ 1 (+ (fabs x) (* x (* x 1/2))))) |
(+ (fabs x) (* x (* x 1/2))) |
(fabs x) |
(copysign (log (neg x)) x) |
(log (neg x)) |
(neg x) |
(copysign (/ (fabs x) x) x) |
(/ (fabs x) x) |
(copysign (log (- (+ x (fabs x)) (/ -1/2 x))) x) |
(log (- (+ x (fabs x)) (/ -1/2 x))) |
(- (+ x (fabs x)) (/ -1/2 x)) |
(+ x (fabs x)) |
(copysign (log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) x) |
(log (+ 1 (+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))))) |
(+ (fabs x) (* (* x x) (- 1/2 (* (* x x) 1/8)))) |
(* x 1/2) |
(* x (* x 1/2)) |
(* x x) |
(* (* x x) 1/8) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) x) |
(log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(log1p.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x)) |
(+.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(-.f64 (fabs.f64 x) (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (fabs.f64 x))) |
(-.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 1 binary64) (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (fabs.f64 x)) |
(fma.f64 x (*.f64 x #s(literal 1/2 binary64)) (fabs.f64 x)) |
(fma.f64 (fabs.f64 x) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (fabs.f64 x)) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) x (fabs.f64 x)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64) (fabs.f64 x)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (fabs.f64 x)) |
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) (fabs.f64 x)) |
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x) (fabs.f64 x)) |
(fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -1 binary64) (fabs.f64 x)) |
(neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) (fabs.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(neg.f64 (+.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fabs.f64 x)))) |
(/.f64 (+.f64 (fabs.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)) #s(literal -1 binary64)) |
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| 1× | egg-herbie |
| 3272× | +-lowering-+.f64 |
| 3272× | +-lowering-+.f32 |
| 3184× | *-lowering-*.f32 |
| 3184× | *-lowering-*.f64 |
| 1444× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 280 | 2202 |
| 1 | 827 | 1933 |
| 2 | 2818 | 1907 |
| 3 | 7976 | 1899 |
| 0 | 8411 | 1899 |
| 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)))) |
(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 (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (neg x)) x) |
(copysign (log (* -1 x)) x) |
(copysign (log (* -1 x)) x) |
(copysign (log (* -1 x)) x) |
(copysign (log (* -1 x)) x) |
(+ (log -1) (log x)) |
(+ (log -1) (log x)) |
(+ (log -1) (log x)) |
(+ (log -1) (log 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)))) |
(* -1 (log (/ -1 x))) |
(* -1 (log (/ -1 x))) |
(* -1 (log (/ -1 x))) |
(* -1 (log (/ -1 x))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign (/ (fabs x) x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(/ (fabs x) x) |
(copysign (log (+ 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))) |
(fabs x) |
(+ x (fabs x)) |
(+ x (fabs x)) |
(+ x (fabs x)) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (/ (fabs x) x))) |
x |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* (pow x 2) (- 1/2 (* 1/8 (pow x 2))))))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) 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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log -1/8) (* -4 (log (/ 1 x)))) |
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2)))) |
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2)))) |
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2)))) |
(+ (log -1/8) (* -4 (log (/ -1 x)))) |
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2)))) |
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2)))) |
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2)))) |
(fabs x) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8)) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8)) |
(* -1/8 (pow x 4)) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8)) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8)) |
(* 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) |
(* 1/2 (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) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
| Outputs |
|---|
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign (log (+ 1 (+ (fabs x) (* 1/2 (pow x 2))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (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))))))) |
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -1/8 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x)))))) |
(+ (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))))))) |
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)))))))) |
(+ (log 1/2) (* -2 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(+ (log 1/2) (+ (* -2 (log (/ 1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.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 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x)))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 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 (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 x x))))) (+.f64 (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) #s(literal 8/3 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(+ (log 1/2) (* -2 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) |
(+ (log 1/2) (+ (* -2 (log (/ -1 x))) (* 2 (/ (+ 1 (fabs x)) (pow x 2))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (log.f64 #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (fabs.f64 x) #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 (+.f64 #s(literal 2 binary64) (*.f64 (fabs.f64 x) #s(literal 2 binary64))) (*.f64 x x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (log.f64 (/.f64 #s(literal -1 binary64) 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))))))) |
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(fabs x) |
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(fabs x) |
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(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
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(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign (log (neg x)) x) |
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(copysign (log (neg x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign (log (neg x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign (log (neg x)) x) |
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(copysign (log (* -1 x)) x) |
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(copysign (log (* -1 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign (log (* -1 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign (log (* -1 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 (log (/ -1 x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 (log (/ -1 x))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
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(-.f64 #s(literal 0 binary64) x) |
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(-.f64 #s(literal 0 binary64) x) |
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(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(copysign (/ (fabs x) x) x) |
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(copysign (/ (fabs x) x) x) |
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(copysign (/ (fabs x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign (/ (fabs x) x) x) |
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(copysign (/ (fabs x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign (/ (fabs x) x) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(/ (fabs x) x) |
(/.f64 (fabs.f64 x) x) |
(/ (fabs x) x) |
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(/ (fabs x) x) |
(/.f64 (fabs.f64 x) x) |
(/ (fabs x) x) |
(/.f64 (fabs.f64 x) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(copysign (log (+ x (+ (fabs x) (* 1/2 (/ 1 x))))) x) |
(copysign.f64 (log.f64 (+.f64 x (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)))) x) |
(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) |
(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) |
(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) |
(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) |
(+ (log 1/2) (* -1 (log x))) |
(-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x)) |
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(+ (log 1/2) (+ (* -1 (log x)) (* x (+ (* 1/2 (* x (+ 4 (* -4 (pow (fabs x) 2))))) (* 2 (fabs x)))))) |
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(+.f64 (*.f64 x (+.f64 (*.f64 (fabs.f64 x) #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 (fabs.f64 x) (+.f64 #s(literal -24 binary64) (*.f64 (*.f64 x x) #s(literal 16 binary64)))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) #s(literal -2 binary64))))))) (-.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 x))) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
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(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* x (fabs x))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (fabs.f64 x))) x) |
(/ (+ 1/2 (* x (+ x (fabs x)))) x) |
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(/ (+ 1/2 (* x (+ x (fabs x)))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 x (fabs.f64 x)))) x) |
x |
(* x (+ 1 (/ (fabs x) x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(*.f64 x (+.f64 (/.f64 (fabs.f64 x) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
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x |
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(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x) |
(copysign (log (- (+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) (* 1/8 (pow x 4)))) x) |
(copysign.f64 (log1p.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 (fabs.f64 x) (*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64)))))) x) |
(log (+ 1 (fabs x))) |
(log1p.f64 (fabs.f64 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (+.f64 #s(literal 1 binary64) (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))))))) |
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (*.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (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 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3)))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (*.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 #s(literal 1 binary64) (fabs.f64 x))) (+.f64 (*.f64 x x) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (+.f64 (/.f64 #s(literal 45 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 30 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))) |
(+ (log -1/8) (* -4 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x))) |
(- (+ (log -1/8) (* -4 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) |
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -4 binary64) (*.f64 x x))))) |
(- (+ (log -1/8) (+ (* -4 (log (/ 1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 (fabs.f64 x) #s(literal -23040 binary64)) #s(literal -38400 binary64)) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))) |
(+ (log -1/8) (* -4 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64))) |
(- (+ (log -1/8) (* -4 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -1/8 binary64)) (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4))))) (* 4 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)) (+.f64 (+.f64 (log.f64 #s(literal -1/8 binary64)) (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) |
(- (+ (log -1/8) (+ (* -4 (log (/ -1 x))) (+ (* 1/720 (/ (- (* -23040 (+ 1 (fabs x))) 15360) (pow x 6))) (* 1/24 (/ (- (* -192 (+ 1 (fabs x))) 192) (pow x 4)))))) (* 4 (/ 1 (pow x 2)))) |
(+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -4 binary64)) (+.f64 (log.f64 #s(literal -1/8 binary64)) (+.f64 (/.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (*.f64 (fabs.f64 x) #s(literal -192 binary64)) #s(literal -384 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (*.f64 (+.f64 (*.f64 (fabs.f64 x) #s(literal -23040 binary64)) #s(literal -38400 binary64)) (/.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))) |
(fabs x) |
(fabs.f64 x) |
(+ (fabs x) (* 1/2 (pow x 2))) |
(+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) |
(+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) |
(* -1/8 (pow x 4)) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))))) |
(* -1/8 (pow x 4)) |
(*.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/2 (/ 1 (pow x 2))) 1/8)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))))) |
(* (pow x 4) (- (+ (* 1/2 (/ 1 (pow x 2))) (/ (fabs x) (pow x 4))) 1/8)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
Compiled 11254 to 2187 computations (80.6% saved)
23 alts after pruning (12 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 785 | 7 | 792 |
| Fresh | 0 | 5 | 5 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 6 | 6 |
| Total | 785 | 23 | 808 |
| Status | Accuracy | Program |
|---|---|---|
| 9.8% | (copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) | |
| 5.4% | (copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x) | |
| 10.2% | (copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x) | |
| ✓ | 9.8% | (copysign.f64 (/.f64 (fabs.f64 x) x) x) |
| 5.4% | (copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x) | |
| 9.8% | (copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x) | |
| 5.4% | (copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) | |
| ✓ | 62.9% | (copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
| ✓ | 47.6% | (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) |
| ✓ | 53.4% | (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
| 9.2% | (copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) | |
| ✓ | 63.0% | (copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
| 28.6% | (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) | |
| ✓ | 28.7% | (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
| 27.0% | (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) | |
| 26.2% | (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) | |
| 7.2% | (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x) | |
| ✓ | 4.1% | (copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x) |
| ✓ | 56.5% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
| ✓ | 20.0% | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| 25.9% | (copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) | |
| ✓ | 9.0% | (copysign.f64 (log.f64 (neg.f64 x)) x) |
| ✓ | 9.8% | (copysign.f64 (log.f64 x) x) |
Compiled 681 to 342 computations (49.8% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x) |
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x) |
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x) |
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) |
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x) |
(copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))) x) |
(copysign.f64 (+.f64 (log1p.f64 (fabs.f64 x)) (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/8 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (+.f64 (fabs.f64 x) #s(literal 1 binary64)))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x) |
2 calls:
| 9.0ms | x |
| 8.0ms | (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | x |
| 100.0% | 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 (log.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x) |
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x) |
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x) |
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) |
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x) |
(copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) |
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x) |
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x) |
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x) |
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) |
(copysign.f64 (log.f64 (+.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/8 binary64))))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x) |
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x) |
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x) |
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x) |
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x) |
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x) |
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x) |
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x) |
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x) |
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) x)) x)) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.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 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x) |
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x) |
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
(copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) x) |
(copysign.f64 (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)) x) |
(copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 x) x)))) x) |
(copysign.f64 (log.f64 (-.f64 (*.f64 x (/.f64 (fabs.f64 x) 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 #s(literal 1/2 binary64) x)) x) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x) |
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x) |
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x) |
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64))) x) |
| Outputs |
|---|
(copysign.f64 (log1p.f64 (fabs.f64 x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
(copysign.f64 (/.f64 (fabs.f64 x) x) x) |
(copysign.f64 (log1p.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) x) |
(copysign.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (fabs.f64 x)) x) |
(copysign.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) x) x) |
(copysign.f64 (*.f64 (*.f64 x (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(copysign.f64 (/.f64 (+.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -1/2 binary64) x)) x) x) |
(copysign.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x) |
(copysign.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (fabs.f64 x))))) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.5% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(copysign.f64 (log.f64 x) x) |
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 (neg.f64 x)) x) |
(copysign.f64 (log.f64 x) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 18.7% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(copysign.f64 (log.f64 x) x) |
| Outputs |
|---|
(copysign.f64 (log.f64 x) x) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.02184916458824937 |
| 0.0ms | -1.2917287843724665 | -2.2907836242220248e-5 |
Compiled 17 to 12 computations (29.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.02185090304393414 | 116.60067571442227 |
| 19.0ms | -1.6821384908898747 | -2.2907836244408677e-5 |
| 26.0ms | 272× | 0 | valid |
Compiled 669 to 450 computations (32.7% saved)
ival-log: 5.0ms (27.8% of total)ival-mult: 4.0ms (22.3% of total)ival-add: 3.0ms (16.7% of total)ival-copysign: 2.0ms (11.1% of total)ival-fabs: 2.0ms (11.1% of total)ival-sqrt: 2.0ms (11.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 0.02185090304393414 | 116.60067571442227 |
| 146.0ms | -1.6821384908898747 | -2.2907836244408677e-5 |
| 189.0ms | 272× | 0 | valid |
Compiled 615 to 414 computations (32.7% saved)
ival-fabs: 127.0ms (70.5% of total)ival-sqrt: 40.0ms (22.2% of total)ival-mult: 4.0ms (2.2% of total)ival-add: 3.0ms (1.7% of total)ival-log: 3.0ms (1.7% of total)ival-copysign: 2.0ms (1.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.02185090304393414 | 116.60067571442227 |
| 22.0ms | -1.6821384908898747 | -2.2907836244408677e-5 |
| 25.0ms | 272× | 0 | valid |
Compiled 513 to 363 computations (29.2% saved)
ival-add: 3.0ms (18.3% of total)ival-log: 3.0ms (18.3% of total)ival-fabs: 3.0ms (18.3% of total)ival-copysign: 2.0ms (12.2% of total)ival-mult: 2.0ms (12.2% of total)ival-sqrt: 2.0ms (12.2% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.02185090304393414 | 116.60067571442227 |
| 22.0ms | -1.6821384908898747 | -2.2907836244408677e-5 |
| 27.0ms | 272× | 0 | valid |
Compiled 423 to 291 computations (31.2% saved)
ival-add: 6.0ms (33% of total)ival-log: 3.0ms (16.5% of total)ival-sqrt: 3.0ms (16.5% of total)ival-copysign: 2.0ms (11% of total)ival-fabs: 2.0ms (11% of total)ival-mult: 2.0ms (11% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.02185090304393414 | 116.60067571442227 |
| 39.0ms | -1.6821384908898747 | -2.2907836244408677e-5 |
| 44.0ms | 272× | 0 | valid |
Compiled 321 to 223 computations (30.5% saved)
ival-log: 15.0ms (55.7% of total)ival-add: 3.0ms (11.1% of total)ival-copysign: 2.0ms (7.4% of total)ival-fabs: 2.0ms (7.4% of total)ival-mult: 2.0ms (7.4% of total)ival-sqrt: 2.0ms (7.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.02185090304393414 | 116.60067571442227 |
| 61.0ms | -1.6821384908898747 | -2.2907836244408677e-5 |
| 67.0ms | 272× | 0 | valid |
Compiled 281 to 199 computations (29.2% saved)
ival-add: 47.0ms (79.8% of total)ival-log: 3.0ms (5.1% of total)ival-copysign: 2.0ms (3.4% of total)ival-fabs: 2.0ms (3.4% of total)ival-mult: 2.0ms (3.4% of total)ival-sqrt: 2.0ms (3.4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 59.0ms | 0.02185090304393414 | 116.60067571442227 |
| 11.0ms | 128× | 0 | valid |
Compiled 137 to 100 computations (27% saved)
ival-copysign: 1.0ms (15% of total)ival-add: 1.0ms (15% of total)ival-log: 1.0ms (15% of total)ival-fabs: 1.0ms (15% of total)ival-mult: 1.0ms (15% of total)ival-sqrt: 1.0ms (15% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 148.0ms | -2.5377104834959714e-303 | 3.428563534563612e-303 |
| 142.0ms | 160× | 2 | valid |
Compiled 167 to 122 computations (26.9% saved)
ival-sqrt: 67.0ms (52.9% of total)ival-log: 37.0ms (29.2% of total)backward-pass: 6.0ms (4.7% of total)ival-copysign: 5.0ms (3.9% of total)ival-add: 5.0ms (3.9% of total)ival-mult: 4.0ms (3.2% of total)ival-fabs: 3.0ms (2.4% of total)const: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 88.0ms | -2.5377104834959714e-303 | 3.428563534563612e-303 |
| 79.0ms | 160× | 2 | valid |
Compiled 147 to 102 computations (30.6% saved)
ival-log: 35.0ms (54.8% of total)backward-pass: 6.0ms (9.4% of total)ival-copysign: 5.0ms (7.8% of total)ival-add: 5.0ms (7.8% of total)ival-sqrt: 4.0ms (6.3% of total)ival-mult: 4.0ms (6.3% of total)ival-fabs: 3.0ms (4.7% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 264× | distribute-lft-neg-in_binary64 |
| 164× | neg-mul-1_binary64 |
| 150× | distribute-neg-in_binary64 |
| 146× | neg-sub0_binary64 |
| 134× | unsub-neg_binary64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 92 | 354 |
| 1 | 132 | 354 |
| 2 | 176 | 354 |
| 3 | 214 | 352 |
| 4 | 267 | 351 |
| 5 | 343 | 351 |
| 6 | 460 | 351 |
| 7 | 615 | 351 |
| 8 | 767 | 351 |
| 9 | 874 | 351 |
| 10 | 934 | 351 |
| 11 | 969 | 351 |
| 12 | 978 | 351 |
| 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 -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 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 0 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x))) |
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -3/2 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x))) |
(if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x)) |
(copysign.f64 (log.f64 x) x) |
| Outputs |
|---|
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64))))) x) #s(literal -1 binary64)) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 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 0 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 #s(literal 1 binary64) x))) x))) |
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x)) x)))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -2476979795053773/2251799813685248 binary64)) (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)))) x) (if (<=.f64 x #s(literal 2476979795053773/2251799813685248 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/8 binary64)))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x))))) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (fabs.f64 x) (/.f64 #s(literal -1/2 binary64) x)) x)))) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -3/2 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (+.f64 (fabs.f64 x) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 5854679515581645/9007199254740992 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 #s(literal -1/2 binary64) x))) x))) |
(if (<=.f64 x #s(literal -1 binary64)) (copysign.f64 (log.f64 (-.f64 (fabs.f64 x) x)) x) (if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x))) |
(if (<=.f64 x #s(literal 1 binary64)) (copysign.f64 (log1p.f64 (fabs.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) x)) x)) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log.f64 x) x)) |
(if (<=.f64 x #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (copysign.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) x) (copysign.f64 (log.f64 x) x)) |
(copysign.f64 (log.f64 x) x) |
| 3784× | *-lowering-*.f32 |
| 3784× | *-lowering-*.f64 |
| 3008× | fma-lowering-fma.f32 |
| 3008× | fma-lowering-fma.f64 |
| 2948× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 205 | 1529 |
| 1 | 573 | 1398 |
| 2 | 1806 | 1355 |
| 3 | 6077 | 1353 |
| 0 | 8412 | 1353 |
| 0 | 27 | 137 |
| 1 | 65 | 129 |
| 2 | 169 | 121 |
| 3 | 489 | 121 |
| 4 | 1259 | 121 |
| 5 | 5537 | 121 |
| 0 | 8084 | 121 |
| 0 | 9 | 11 |
| 1 | 15 | 9 |
| 2 | 16 | 9 |
| 3 | 17 | 9 |
| 0 | 17 | 9 |
| 0 | 28 | 116 |
| 1 | 93 | 116 |
| 2 | 364 | 92 |
| 3 | 2606 | 92 |
| 0 | 8447 | 92 |
| 0 | 147 | 576 |
| 1 | 447 | 477 |
| 2 | 1535 | 465 |
| 3 | 5702 | 465 |
| 0 | 8709 | 465 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1119 to 605 computations (45.9% saved)
Compiled 792 to 218 computations (72.5% saved)
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