
Time bar (total: 4.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.6% | 0.4% | 0% | 0% | 0% | 0 |
| 100% | 99.6% | 0% | 0.4% | 0% | 0% | 0% | 1 |
Compiled 4 to 4 computations (0% saved)
| 575.0ms | 8 256× | 0 | valid |
ival-asinh: 340.0ms (97% of total)ival-true: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.9% of total)adjust: 2.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 122 | 0 | - | 0 | - | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 72 | 0 | - | 0 | - | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 0 | 0 | - | 0 | - | (*.f32 x x) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 x x) #s(literal 1 binary32)) |
| 0 | 0 | - | 0 | - | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (fabs.f32 x) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | sensitivity | 121 | 0 |
sqrt.f32 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 72 | 0 |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 72 | |
| ↳ | (*.f32 x x) | overflow | 72 | |
log.f32 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | oflow-rescue | 1 | 0 |
| ↳ | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | overflow | 1 | |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 72 | |
| ↳ | (*.f32 x x) | overflow | 72 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 193 | 0 |
| - | 0 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 193 | 0 | 0 |
| - | 0 | 0 | 63 |
| number | freq |
|---|---|
| 0 | 63 |
| 1 | 192 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 178× | 1 | valid |
| 36.0ms | 334× | 0 | valid |
Compiled 114 to 31 computations (72.8% saved)
ival-mult: 20.0ms (28.3% of total)ival-add: 13.0ms (18.4% of total)ival-hypot: 13.0ms (18.4% of total)ival-log: 11.0ms (15.5% of total)adjust: 5.0ms (7.1% of total)ival-copysign: 5.0ms (7.1% of total)ival-fabs: 3.0ms (4.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 0 | 9 | 12 |
| 0 | 16 | 12 |
| 1 | 24 | 12 |
| 2 | 45 | 12 |
| 3 | 85 | 12 |
| 4 | 144 | 12 |
| 5 | 351 | 12 |
| 6 | 2401 | 12 |
| 7 | 5914 | 12 |
| 0 | 8153 | 11 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
Compiled 12 to 9 computations (25% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 35.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fabs x) |
x |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1) |
| 2.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1) |
| 2.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (fabs x) x (sqrt (+ (* x x) 1)) (+ (* x x) 1) (* x x) 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 586 |
| 1 | 568 | 548 |
| 2 | 2392 | 527 |
| 0 | 8386 | 487 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fabs x) |
x |
1 |
(+ 1 (* 1/2 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(+ 1 (pow x 2)) |
(pow x 2) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ 1 (fabs x)) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32)) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(fabs x) |
(fabs.f32 x) |
x |
1 |
#s(literal 1 binary32) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(pow x 2) |
(*.f32 x x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x))) |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* x (+ 1 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x x) |
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal 1 binary32)) x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(*.f32 (+.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 0 | 16 | 37 |
| 1 | 56 | 29 |
| 0 | 406 | 28 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x)))) |
(asinh.f32 (fabs.f32 x)) |
(/.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (neg.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x))))) |
(/.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x)))) (/.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))) |
(fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x)) |
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (cosh.f32 (asinh.f32 x))) |
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) (cosh.f32 (asinh.f32 x))) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (cosh.f32 (asinh.f32 x))) |
(+.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x))) (/.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x)))) |
(+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) |
(+.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))) |
(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x))) |
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x))) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(sqrt.f32 (*.f32 x x)) |
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(pow.f32 x #s(literal 1 binary32)) |
(fabs.f32 (neg.f32 (neg.f32 x))) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(*.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (sqrt.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (sqrt.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(/.f32 (+.f32 (exp.f32 (asinh.f32 x)) (exp.f32 (neg.f32 (asinh.f32 x)))) #s(literal 2 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (*.f32 x x)) #s(literal 1/2 binary32))) |
(cosh.f32 (neg.f32 (asinh.f32 x))) |
(cosh.f32 (asinh.f32 (neg.f32 x))) |
(cosh.f32 (asinh.f32 x)) |
(cosh.f32 (asinh.f32 (fabs.f32 x))) |
(*.f32 (neg.f32 (cosh.f32 (asinh.f32 x))) (neg.f32 (cosh.f32 (asinh.f32 x)))) |
(*.f32 (fabs.f32 (cosh.f32 (asinh.f32 x))) (fabs.f32 (cosh.f32 (asinh.f32 x)))) |
(*.f32 (cosh.f32 (asinh.f32 x)) (cosh.f32 (asinh.f32 x))) |
(sqrt.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 x x))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 x x #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) |
(-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 x)) (neg.f32 x))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fabs.f32 x)) (fabs.f32 x))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 x) x)) |
(-.f32 #s(literal 1 binary32) (*.f32 x (neg.f32 x))) |
(-.f32 (*.f32 x x) #s(literal -1 binary32)) |
(fma.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 x) (neg.f32 x) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 (*.f32 x x) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 x) (fabs.f32 x) #s(literal 1 binary32)) |
(fma.f32 x (*.f32 x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 x x #s(literal 1 binary32)) |
(pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) |
(pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 2 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 x x)))) |
(+.f32 #s(literal 1 binary32) (*.f32 x x)) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 (*.f32 (neg.f32 x) #s(literal 1 binary32)) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(*.f32 (*.f32 (fabs.f32 x) #s(literal 1 binary32)) (*.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(*.f32 (*.f32 x #s(literal 1 binary32)) (*.f32 x #s(literal 1 binary32))) |
(*.f32 (neg.f32 (fabs.f32 x)) (neg.f32 (fabs.f32 x))) |
(*.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x))) |
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) #s(literal 1 binary32))) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 #s(literal 1 binary32) (*.f32 x x)) |
(*.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 (fabs.f32 x) (*.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(*.f32 (fabs.f32 x) (fabs.f32 x)) |
(*.f32 x (*.f32 x #s(literal 1 binary32))) |
(*.f32 x x) |
(sqrt.f32 (pow.f32 x #s(literal 4 binary32))) |
(pow.f32 (neg.f32 x) #s(literal 2 binary32)) |
(pow.f32 (fabs.f32 x) #s(literal 2 binary32)) |
(pow.f32 x #s(literal 2 binary32)) |
(fabs.f32 (*.f32 (neg.f32 x) x)) |
(fabs.f32 (*.f32 x (neg.f32 x))) |
(fabs.f32 (*.f32 x x)) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 2 binary32))) |
(neg.f32 (*.f32 (neg.f32 x) x)) |
(neg.f32 (*.f32 x (neg.f32 x))) |
#s(literal 1 binary32) |
Compiled 2 554 to 745 computations (70.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 133 | 7 | 140 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 134 | 7 | 141 |
| Status | Accuracy | Program |
|---|---|---|
| 35.0% | (copysign.f32 (log.f32 (fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))) x) | |
| ▶ | 32.2% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
| ▶ | 27.5% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x) |
| ▶ | 99.5% | (copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
| 52.7% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) | |
| ▶ | 54.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
| ▶ | 14.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
Compiled 300 to 190 computations (36.7% saved)
| Inputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(asinh.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(/.f32 (fabs.f32 x) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x) |
(-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(log1p.f32 (fabs.f32 x)) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x) |
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) |
(fabs x) |
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))))))) |
(log x) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ x (fabs x)) |
(/ (fabs x) x) |
(+ (fabs x) (* -1 x)) |
(/ (+ (fabs x) (* -1 x)) x) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(/ 1/2 (+ 1 (fabs x))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
-1 |
(- (/ (fabs x) x) 1) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 111.0ms | x | @ | inf | ((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (- (/ (fabs x) x) 1) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (/ 1/2 (- (fabs x) -1)) 1/2 (- (fabs x) -1) -1 (log (+ 1 (fabs x)))) |
| 96.0ms | x | @ | -inf | ((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (- (/ (fabs x) x) 1) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (/ 1/2 (- (fabs x) -1)) 1/2 (- (fabs x) -1) -1 (log (+ 1 (fabs x)))) |
| 73.0ms | x | @ | 0 | ((copysign (asinh (fabs x)) x) (asinh (fabs x)) (fabs x) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (/ (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (- (/ (fabs x) x) 1) 1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ 1/2 (- (fabs x) -1)) x) (/ 1/2 (- (fabs x) -1)) 1/2 (- (fabs x) -1) -1 (log (+ 1 (fabs x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 559 |
| 1 | 539 | 527 |
| 2 | 2263 | 500 |
| 0 | 8233 | 466 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x) |
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) |
(fabs x) |
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))))))) |
(log x) |
(+ 1 (fabs x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ x (fabs x)) |
(/ (fabs x) x) |
(+ (fabs x) (* -1 x)) |
(/ (+ (fabs x) (* -1 x)) x) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(/ 1/2 (+ 1 (fabs x))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
-1 |
(- (/ (fabs x) x) 1) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ (fabs x) (sqrt (+ 1 (pow (fabs x) 2))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(fabs x) |
(fabs.f32 x) |
x |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal -45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(log x) |
(log.f32 x) |
(+ 1 (fabs x)) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (fabs.f32 x)) #s(literal -1 binary32)) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(+ x (fabs x)) |
(+.f32 (fabs.f32 x) x) |
(/ (fabs x) x) |
(/.f32 (fabs.f32 x) x) |
(+ (fabs x) (* -1 x)) |
(-.f32 (fabs.f32 x) x) |
(/ (+ (fabs x) (* -1 x)) x) |
(/.f32 (-.f32 (fabs.f32 x) x) x) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f32 (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 1/2 binary32)) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) #s(literal -1/2 binary32)) (log.f32 x))) |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* -1 x) |
(neg.f32 x) |
(* x (- (/ (fabs x) x) 1)) |
(*.f32 (/.f32 (-.f32 (fabs.f32 x) x) x) x) |
-1 |
#s(literal -1 binary32) |
(- (/ (fabs x) x) 1) |
(/.f32 (-.f32 (fabs.f32 x) x) x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(*.f32 (-.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x)) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32) #s(literal -1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 (fabs.f32 x) (fma.f32 (*.f32 x x) #s(literal 2 binary32) #s(literal -3 binary32))) x) #s(literal -1/6 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(*.f32 (/.f32 (-.f32 (fabs.f32 x) x) x) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal -1 binary32)) x) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 266 |
| 0 | 55 | 220 |
| 1 | 169 | 220 |
| 0 | 1148 | 220 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(asinh.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(/.f32 (fabs.f32 x) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x) |
(-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(log1p.f32 (fabs.f32 x)) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 (fabs.f32 x) (cosh.f32 (asinh.f32 x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 (fabs.f32 x) #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) (fabs.f32 x)) (*.f32 x x)))) |
(asinh.f32 (fabs.f32 x)) |
(*.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x))) |
(*.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x))) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(*.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (fabs.f32 x))) |
(*.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(*.f32 (fabs.f32 x) #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 x x)) |
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(pow.f32 x #s(literal 1 binary32)) |
(fabs.f32 (neg.f32 (neg.f32 x))) |
(fabs.f32 (neg.f32 x)) |
(fabs.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) |
(log.f32 x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x)) |
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) x) |
(*.f32 x (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))) |
(/.f32 (-.f32 (*.f32 x x) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))) (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x))) |
(/.f32 (neg.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (*.f32 x x))) (neg.f32 (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))) |
(/.f32 (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (*.f32 x x)) (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (*.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32))) (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) |
(-.f32 (/.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)) (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x))) |
(-.f32 x (*.f32 (neg.f32 (/.f32 (fabs.f32 x) x)) x)) |
(-.f32 x (*.f32 (neg.f32 x) (/.f32 (fabs.f32 x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(fma.f32 (fabs.f32 x) (/.f32 x x) x) |
(fma.f32 x (/.f32 (fabs.f32 x) x) x) |
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) #s(literal 3 binary32)) (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (-.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) (/.f32 (pow.f32 x #s(literal 4 binary32)) (*.f32 x x))))) |
(+.f32 (*.f32 (/.f32 (fabs.f32 x) x) x) x) |
(+.f32 x (*.f32 (/.f32 (fabs.f32 x) x) x)) |
(*.f32 (*.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(*.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x)) |
(/.f32 (*.f32 (neg.f32 (fabs.f32 x)) #s(literal 1 binary32)) (neg.f32 x)) |
(/.f32 (neg.f32 (neg.f32 (fabs.f32 x))) (neg.f32 (neg.f32 x))) |
(/.f32 (neg.f32 (fabs.f32 x)) (neg.f32 x)) |
(/.f32 (fabs.f32 x) x) |
(neg.f32 (/.f32 (neg.f32 (fabs.f32 x)) x)) |
(neg.f32 (/.f32 (fabs.f32 x) (neg.f32 x))) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x)) |
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x) |
(*.f32 x (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) x) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) x) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x))) |
(/.f32 (*.f32 x (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))) |
(/.f32 (*.f32 x (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x))) |
(-.f32 (/.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)))) |
(-.f32 (/.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 3 binary32)) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (/.f32 (fabs.f32 x) x) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 (fabs.f32 x) x)))) |
(-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) #s(literal -1 binary32) #s(literal -1 binary32)) |
(fma.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) |
(+.f32 (/.f32 (fabs.f32 x) x) #s(literal -1 binary32)) |
#s(literal 1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) |
(/.f32 (-.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32))) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x))))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x)))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (+.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x)))))) |
(/.f32 (fma.f32 (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 x #s(literal 6 binary32)) (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32))) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x)))) (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x))))) |
(-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) x)) |
(-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (neg.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x))) |
(-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (neg.f32 x) (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (neg.f32 x)) (neg.f32 x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (fabs.f32 x)) (fabs.f32 x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) x (log1p.f32 (fabs.f32 x))) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (log1p.f32 (fabs.f32 x))) |
(fma.f32 x (*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (log1p.f32 (fabs.f32 x))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (log1p.f32 (fabs.f32 x)) #s(literal 3 binary32)) (fma.f32 (log1p.f32 (fabs.f32 x)) (-.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))) (pow.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x)) (log1p.f32 (fabs.f32 x))) |
(+.f32 (log1p.f32 (fabs.f32 x)) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (*.f32 x x))) |
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (fabs.f32 x))) |
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(*.f32 #s(literal 1/2 binary32) (/.f32 x (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) x) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(/.f32 (*.f32 x #s(literal -1/2 binary32)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) x)) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (+.f32 #s(literal -1 binary32) (fabs.f32 x))) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1/2 binary32) (neg.f32 (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(neg.f32 (/.f32 #s(literal 1/2 binary32) (neg.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))))) |
#s(literal 1/2 binary32) |
(/.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) (neg.f32 (+.f32 #s(literal -1 binary32) (fabs.f32 x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x))) (neg.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))) |
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (fabs.f32 x))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(/.f32 (-.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32)))) |
(/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(/.f32 (+.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) |
(-.f32 (/.f32 (*.f32 x x) (+.f32 #s(literal -1 binary32) (fabs.f32 x))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (fabs.f32 x)))) |
(-.f32 (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 x x (fma.f32 #s(literal -1 binary32) (fabs.f32 x) #s(literal 1 binary32))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fabs.f32 x))) (/.f32 (*.f32 x x) (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) #s(literal 1 binary32)) |
(fma.f32 (sqrt.f32 (fabs.f32 x)) (sqrt.f32 (fabs.f32 x)) #s(literal 1 binary32)) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(literal 1 binary32)) |
(fma.f32 #s(literal -1 binary32) (*.f32 #s(literal -1 binary32) (fabs.f32 x)) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (fabs.f32 x) #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 x) #s(literal 1 binary32) #s(literal 1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x))) (/.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (fabs.f32 x)))) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(+.f32 (fabs.f32 x) #s(literal 1 binary32)) |
#s(literal -1 binary32) |
(log.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(-.f32 (log1p.f32 (*.f32 (neg.f32 x) x)) (log.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 x)))) |
(-.f32 (log1p.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) (fabs.f32 x)))) |
(log1p.f32 (fabs.f32 x)) |
Compiled 6 907 to 1 188 computations (82.8% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 255 | 4 | 259 |
| Fresh | 0 | 2 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 257 | 9 | 266 |
| Status | Accuracy | Program |
|---|---|---|
| 35.0% | (copysign.f32 (log.f32 (fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))) x) | |
| ▶ | 32.2% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
| ▶ | 27.5% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x) |
| ▶ | 49.5% | (copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
| ▶ | 52.7% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) |
| ✓ | 54.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
| ✓ | 14.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
| ▶ | 12.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) x) |
Compiled 372 to 229 computations (38.4% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(*.f32 #s(literal -1/24 binary32) (*.f32 x x)) |
#s(literal -1/24 binary32) |
(*.f32 x x) |
x |
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) |
(/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 3 binary32) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(fabs.f32 x) |
#s(literal -1 binary32) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fabs.f32 x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))) |
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)) |
(-.f32 (fabs.f32 x) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)) |
(+.f32 (fabs.f32 x) x) |
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x) |
(asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(sqrt.f32 x) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(/ 1/2 (+ 1 (fabs x))) |
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) |
(* -1/24 (pow x 2)) |
(pow x 2) |
x |
(/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))) |
(+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) |
(/ 3 (+ 1 (fabs x))) |
(+ 1 (fabs x)) |
(fabs x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ (fabs x) (* -1 x)) |
(+ x (fabs x)) |
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(sqrt 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)))) |
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x) |
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))) |
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 93.0ms | x | @ | -inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* -1/24 (* x x)) -1/24 (* x x) x (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (- (fabs x) -1) (fabs x) -1 (/ 1/2 (- (fabs x) -1)) 1/2 (log (+ 1 (fabs x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (- (fabs x) -1)) x) x) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (+ (fabs x) x) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x)) |
| 15.0ms | x | @ | inf | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* -1/24 (* x x)) -1/24 (* x x) x (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (- (fabs x) -1) (fabs x) -1 (/ 1/2 (- (fabs x) -1)) 1/2 (log (+ 1 (fabs x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (- (fabs x) -1)) x) x) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (+ (fabs x) x) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x)) |
| 13.0ms | x | @ | 0 | ((copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* x x)) (log (+ 1 (fabs x)))) (+ (* (* -1/24 (* x x)) (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1))) (/ 1/2 (- (fabs x) -1))) (* -1/24 (* x x)) -1/24 (* x x) x (/ (+ (/ 3 (- (fabs x) -1)) 3) (- (fabs x) -1)) (+ (/ 3 (- (fabs x) -1)) 3) (/ 3 (- (fabs x) -1)) 3 (- (fabs x) -1) (fabs x) -1 (/ 1/2 (- (fabs x) -1)) 1/2 (log (+ 1 (fabs x))) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (- (fabs x) -1)) x) x) (* (/ 1/2 (- (fabs x) -1)) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (- (/ (fabs x) x) 1) x) (- (fabs x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* (/ (fabs x) x) x) x) (+ (fabs x) x) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) (sqrt x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 1004 |
| 1 | 832 | 883 |
| 2 | 3333 | 856 |
| 0 | 8913 | 806 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(/ 1/2 (+ 1 (fabs x))) |
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) |
(* -1/24 (pow x 2)) |
(pow x 2) |
x |
(/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))) |
(+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) |
(/ 3 (+ 1 (fabs x))) |
(+ 1 (fabs x)) |
(fabs x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(+ (fabs x) (* -1 x)) |
(+ x (fabs x)) |
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(sqrt 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)))) |
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* -1 x) |
(* x (- (/ (fabs x) x) 1)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x) |
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))) |
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
| Outputs |
|---|
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (/.f32 (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal 1/720 binary32) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 45 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 x)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))))) (*.f32 x x) (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x (log1p.f32 (fabs.f32 x)))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (/.f32 (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(/ 1/2 (+ 1 (fabs x))) |
(/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ (* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (+ 1 (fabs x))))) |
(/.f32 (fma.f32 (*.f32 x x) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(* -1/24 (pow x 2)) |
(*.f32 #s(literal -1/24 binary32) (*.f32 x x)) |
(pow x 2) |
(*.f32 x x) |
x |
(/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x))) |
(/.f32 (-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -3 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) |
(-.f32 (/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -3 binary32)) |
(/ 3 (+ 1 (fabs x))) |
(/.f32 #s(literal 3 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ 1 (fabs x)) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(fabs x) |
(fabs.f32 x) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) |
(* 1/2 (/ x (+ 1 (fabs x)))) |
(*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f32 (*.f32 x x) #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(-.f32 (fabs.f32 x) (fma.f32 (fma.f32 #s(literal 1/8 binary32) (*.f32 x x) #s(literal -1/2 binary32)) (*.f32 x x) #s(literal -1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))) |
(fma.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) #s(literal -1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ (fabs x) (* -1 x)) |
(-.f32 (fabs.f32 x) x) |
(+ x (fabs x)) |
(+.f32 (fabs.f32 x) x) |
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) x (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)) #s(literal 1/6 binary32))) x) |
(sqrt x) |
(sqrt.f32 x) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (log.f32 x) (/.f32 (fabs.f32 x) x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x) (log.f32 x))) |
(* -1/24 (/ (* (pow x 4) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 4 binary32))) |
(* (pow x 4) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (+ (/ 1/2 (* (pow x 2) (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 4))))) |
(*.f32 (+.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (pow.f32 x #s(literal 4 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (pow.f32 x #s(literal 4 binary32))) |
(* -1/24 (/ (* (pow x 2) (+ 3 (* 3 (/ 1 (+ 1 (fabs x)))))) (+ 1 (fabs x)))) |
(*.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32)) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) |
(* (pow x 2) (+ (* -1/24 (/ (+ 3 (* 3 (/ 1 (+ 1 (fabs x))))) (+ 1 (fabs x)))) (* 1/2 (/ 1 (* (pow x 2) (+ 1 (fabs x))))))) |
(*.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (+.f32 (/.f32 #s(literal -1/8 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal -1/8 binary32))) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) x) x) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(*.f32 (-.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x)) |
(* x (+ 1 (/ (fabs x) x))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) x x) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(fma.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) x) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x x) |
(* -1 x) |
(neg.f32 x) |
(* x (- (/ (fabs x) x) 1)) |
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 #s(literal 2 binary32)) (log.f32 x)) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (fabs.f32 x) (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/2 binary32) (*.f32 x x) #s(literal 1/2 binary32))) x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal -1 binary32)) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(*.f32 (+.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) #s(literal -1 binary32)) x) |
(* -1 (* x (- (* -1 (/ (fabs x) x)) 1))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x x) |
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))) |
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))) |
(-.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8))))) |
(-.f32 (-.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 12 binary32)))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (* (sqrt x) (pow (sqrt -1) 2))) |
(*.f32 (sqrt.f32 x) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 518 |
| 0 | 87 | 398 |
| 0 | 287 | 391 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) |
(*.f32 #s(literal -1/24 binary32) (*.f32 x x)) |
#s(literal -1/24 binary32) |
(*.f32 x x) |
x |
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) |
(/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 3 binary32) |
(-.f32 (fabs.f32 x) #s(literal -1 binary32)) |
(fabs.f32 x) |
#s(literal -1 binary32) |
(/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(log1p.f32 (fabs.f32 x)) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x))) |
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)) |
(-.f32 (fabs.f32 x) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x))) |
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)) |
(+.f32 (fabs.f32 x) x) |
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x) |
(asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(sqrt.f32 x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 x))) |
(/.f32 (-.f32 (*.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x))) (*.f32 (log1p.f32 x) (log1p.f32 x))) (-.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (log1p.f32 x))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) #s(literal 3 binary32)) (pow.f32 (log1p.f32 x) #s(literal 3 binary32))) (fma.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (-.f32 (*.f32 (log1p.f32 x) (log1p.f32 x)) (*.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (log1p.f32 x))))) |
(fma.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) x) x (log1p.f32 x)) |
(fma.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 x)) |
(fma.f32 (*.f32 x x) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (log1p.f32 x)) |
(+.f32 (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x)) (log1p.f32 x)) |
(+.f32 (log1p.f32 x) (*.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 x x))) |
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) (-.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (-.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) (*.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))))) |
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/24 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 x x) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(+.f32 (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(+.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) (*.f32 (*.f32 x x) #s(literal -1/24 binary32)))) |
(*.f32 (*.f32 #s(literal -1/24 binary32) x) x) |
(*.f32 (*.f32 x x) #s(literal -1/24 binary32)) |
(*.f32 #s(literal -1/24 binary32) (*.f32 x x)) |
#s(literal -1/24 binary32) |
(*.f32 (neg.f32 x) (neg.f32 x)) |
(*.f32 x x) |
(pow.f32 x #s(literal 2 binary32)) |
x |
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 x #s(literal -1 binary32))) |
(+.f32 (/.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32)))) #s(literal 9 binary32)) (-.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))) |
(/.f32 (+.f32 (pow.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) #s(literal 27 binary32)) (fma.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) (-.f32 #s(literal 9 binary32) (*.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32))))) |
(+.f32 (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) #s(literal 3 binary32)) |
(+.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32)))) |
(/.f32 #s(literal -3 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 #s(literal 3 binary32) (-.f32 x #s(literal -1 binary32))) |
#s(literal 3 binary32) |
(/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 x x (+.f32 #s(literal 1 binary32) (*.f32 x #s(literal -1 binary32))))) |
(-.f32 x #s(literal -1 binary32)) |
x |
#s(literal -1 binary32) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(log.f32 (+.f32 #s(literal 1 binary32) x)) |
(log1p.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)) |
(*.f32 x (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x)) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) |
(*.f32 x (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 x x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 x x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 x x))) |
#s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 x x)) |
(/.f32 (-.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (fma.f32 x x (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (+.f32 x x)) |
(-.f32 x x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)))) x) |
(log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)))) |
#s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x))) |
#s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)) |
(/.f32 (-.f32 (*.f32 x x) (*.f32 x x)) (-.f32 x x)) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 x x) (*.f32 x x)))) |
(+.f32 x x) |
(copysign.f32 (asinh.f32 x) x) |
(log.f32 (+.f32 (cosh.f32 (asinh.f32 x)) x)) |
(asinh.f32 x) |
x |
(sqrt.f32 x) |
(pow.f32 x #s(literal 1/2 binary32)) |
Compiled 7 179 to 790 computations (89% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 176 | 9 | 185 |
| Fresh | 0 | 1 | 1 |
| Picked | 4 | 1 | 5 |
| Done | 3 | 0 | 3 |
| Total | 183 | 11 | 194 |
| Status | Accuracy | Program |
|---|---|---|
| 35.0% | (copysign.f32 (log.f32 (fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))) x) | |
| 29.5% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)))) x) | |
| ✓ | 27.5% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x) |
| ▶ | 99.5% | (copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x) |
| ▶ | 12.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x) |
| 12.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x) | |
| ▶ | 12.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) x) |
| ▶ | 12.6% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) |
| 12.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))) x))) x) | |
| 52.5% | (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) x) | |
| ▶ | 52.6% | (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x) |
Compiled 626 to 396 computations (36.7% saved)
| Inputs |
|---|
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x) |
(asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) |
#s(approx (* (sqrt x) (sqrt x)) x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) |
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(-.f32 x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x)) |
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) |
(*.f32 #s(literal 1/2 binary32) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) |
(/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) |
(/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))) |
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
(+.f32 x #s(literal -1 binary32)) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(literal -1/6 binary32) |
| Outputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/2 x))) |
(* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))) |
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 x))) |
(* x (+ 1/2 (* x (- (* 1/2 x) 1/2)))) |
(* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* x (- (* 1/2 x) 1/2))) |
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))) |
1 |
(+ 1 x) |
-1 |
(- (pow x 2) 1) |
(pow x 2) |
(- x 1) |
(pow x 3) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* -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)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* x (- 1/2 (* 1/2 (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))) |
(- 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x) |
(* x (+ 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 x))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x) |
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))) |
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) |
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (- x -1)) x) x) (* (/ 1/2 (- x -1)) x) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ (* 1/2 x) (- x -1)) x) (/ (* 1/2 x) (- x -1)) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) x) (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) (/ 1/2 (/ (- (* x x) 1) (+ x -1))) (/ (- (* x x) 1) (+ x -1)) (- (* x x) 1) (* x x) 1 (+ x -1) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (+ (* (pow x 3) -1/6) x) (pow x 3) 3 -1/6) |
| 5.0ms | x | @ | -inf | ((copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (- x -1)) x) x) (* (/ 1/2 (- x -1)) x) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ (* 1/2 x) (- x -1)) x) (/ (* 1/2 x) (- x -1)) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) x) (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) (/ 1/2 (/ (- (* x x) 1) (+ x -1))) (/ (- (* x x) 1) (+ x -1)) (- (* x x) 1) (* x x) 1 (+ x -1) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (+ (* (pow x 3) -1/6) x) (pow x 3) 3 -1/6) |
| 4.0ms | x | @ | inf | ((copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (* (sqrt x) (sqrt x)) x (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (- x -1)) x) x) (* (/ 1/2 (- x -1)) x) (/ 1/2 (- x -1)) 1/2 (- x -1) -1 (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (/ (* 1/2 x) (- x -1)) x) (/ (* 1/2 x) (- x -1)) (* 1/2 x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (* (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) x) (* (/ 1/2 (/ (- (* x x) 1) (+ x -1))) x) (/ 1/2 (/ (- (* x x) 1) (+ x -1))) (/ (- (* x x) 1) (+ x -1)) (- (* x x) 1) (* x x) 1 (+ x -1) (copysign (asinh (* (sqrt x) (sqrt x))) x) (asinh (* (sqrt x) (sqrt x))) (+ (* (pow x 3) -1/6) x) (pow x 3) 3 -1/6) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 246 | 981 |
| 1 | 746 | 895 |
| 2 | 2726 | 860 |
| 0 | 8418 | 808 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(log (+ 1 (fabs x))) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* -1/2 x))) |
(* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))) |
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/2 x))) |
(* x (+ 1/2 (* x (- (* 1/2 x) 1/2)))) |
(* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))) |
1/2 |
(+ 1/2 (* -1/2 x)) |
(+ 1/2 (* x (- (* 1/2 x) 1/2))) |
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))) |
1 |
(+ 1 x) |
-1 |
(- (pow x 2) 1) |
(pow x 2) |
(- x 1) |
(pow x 3) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(* -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)))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(* x (- 1/2 (* 1/2 (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))) |
(- 1/2 (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) |
(- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) |
(/ 1/2 x) |
(/ (- 1/2 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x) |
(* x (+ 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 x))) |
(* -1/6 (pow x 3)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x) |
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))) |
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8))))) |
(* -1 (* x (pow (sqrt -1) 2))) |
(* -1 (log (/ -1 x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2))) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) |
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
| Outputs |
|---|
(copysign (log (+ x (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
x |
(* x (+ 1 (* -1/6 (pow x 2)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x) |
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x) |
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6)))) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3/40 binary32) x) x (-.f32 (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -5/112 binary32)) #s(literal 1/6 binary32))) x) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log (+ 1 (fabs x))) |
(log1p.f32 (fabs.f32 x)) |
(+ (log (+ 1 (fabs x))) (* 1/2 (/ (pow x 2) (+ 1 (fabs x))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* -1/24 (* (pow x 2) (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2)))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(+ (log (+ 1 (fabs x))) (* (pow x 2) (+ (* (pow x 2) (+ (* -1/24 (+ (* 3 (/ 1 (+ 1 (fabs x)))) (* 3 (/ 1 (pow (+ 1 (fabs x)) 2))))) (* 1/720 (* (pow x 2) (+ (* 45 (/ 1 (+ 1 (fabs x)))) (+ (* 45 (/ 1 (pow (+ 1 (fabs x)) 2))) (* 30 (/ 1 (pow (+ 1 (fabs x)) 3))))))))) (* 1/2 (/ 1 (+ 1 (fabs x))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 30 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 45 binary32)) (pow.f32 (-.f32 (fabs.f32 x) #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 45 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(* 1/2 (pow x 2)) |
(*.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(* (pow x 2) (+ 1/2 (* -1/2 x))) |
(*.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) x) |
(* (pow x 2) (+ 1/2 (* x (- (* 1/2 x) 1/2)))) |
(*.f32 (*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x) |
(* (pow x 2) (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))) |
(*.f32 (*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) x) |
(* 1/2 x) |
(*.f32 #s(literal 1/2 binary32) x) |
(* x (+ 1/2 (* -1/2 x))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x) |
(* x (+ 1/2 (* x (- (* 1/2 x) 1/2)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) |
(* x (+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) x) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* -1/2 x)) |
(fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) |
(+ 1/2 (* x (- (* 1/2 x) 1/2))) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) |
(+ 1/2 (* x (- (* x (+ 1/2 (* -1/2 x))) 1/2))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) x #s(literal 1/2 binary32)) x #s(literal -1/2 binary32)) x #s(literal 1/2 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 x) |
(-.f32 x #s(literal -1 binary32)) |
-1 |
#s(literal -1 binary32) |
(- (pow x 2) 1) |
(fma.f32 x x #s(literal -1 binary32)) |
(pow x 2) |
(*.f32 x x) |
(- x 1) |
(-.f32 x #s(literal 1 binary32)) |
(pow x 3) |
(pow.f32 x #s(literal 3 binary32)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) |
(-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4))) |
(-.f32 (-.f32 (-.f32 (+.f32 (log.f32 x) (log.f32 #s(literal 2 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 #s(literal -5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(* -1 (log (/ 1 x))) |
(log.f32 x) |
(+ (* -1 (log (/ 1 x))) (/ (fabs x) x)) |
(+.f32 (/.f32 (fabs.f32 x) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x))) |
(+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x) (log.f32 x)) |
(+ (* -1 (log (/ 1 x))) (+ (* 1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) (pow x 3))) (+ (* 1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) (pow x 2))) (/ (fabs x) x)))) |
(fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) (pow.f32 x #s(literal 3 binary32))) #s(literal 1/6 binary32) (+.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) x) #s(literal -1/2 binary32) (fabs.f32 x)) x) (log.f32 x))) |
(* 1/2 (/ (pow x 2) (+ 1 (fabs x)))) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x) |
(* (pow x 2) (+ (* 1/2 (/ 1 (+ 1 (fabs x)))) (/ (log (+ 1 (fabs x))) (pow x 2)))) |
(*.f32 (-.f32 (/.f32 (log1p.f32 (fabs.f32 x)) (*.f32 x x)) (/.f32 #s(literal -1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x)) |
(* x (- 1/2 (* 1/2 (/ 1 x)))) |
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) |
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x)))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x) |
(* x (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3)))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x) |
(- 1/2 (* 1/2 (/ 1 x))) |
(-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) |
(- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) |
(- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) |
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) |
(/ 1/2 x) |
(/.f32 #s(literal 1/2 binary32) x) |
(/ (- 1/2 (* 1/2 (/ 1 x))) x) |
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x) |
(/ (- (+ 1/2 (/ 1/2 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (pow x 3))))) x) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x) |
(* x (+ 1 (/ 1 x))) |
(-.f32 x #s(literal -1 binary32)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x)) x) x) |
(* x (- 1 (/ 1 x))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) x) |
(* -1/6 (pow x 3)) |
(*.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32)) |
(* (pow x 3) (- (/ 1 (pow x 2)) 1/6)) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) x) #s(literal 1/6 binary32)) (pow.f32 x #s(literal 3 binary32))) |
(copysign (log (+ (sqrt (+ 1 (* (pow x 2) (pow (sqrt -1) 4)))) (* -1 (* x (pow (sqrt -1) 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
(+ (log (* 2 (pow (sqrt -1) 2))) (* -1 (log (/ -1 x)))) |
(-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (* 1/4 (/ 1 (* (pow x 2) (pow (sqrt -1) 4)))))) |
(-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))))) (/ 3/32 (* (pow x 4) (pow (sqrt -1) 8)))) |
(-.f32 (-.f32 (-.f32 (log.f32 #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
(- (+ (log (* 2 (pow (sqrt -1) 2))) (+ (* -1 (log (/ -1 x))) (+ (/ 1/4 (* (pow x 2) (pow (sqrt -1) 4))) (* 5/96 (/ 1 (* (pow x 6) (pow (sqrt -1) 12))))))) (* 3/32 (/ 1 (* (pow x 4) (pow (sqrt -1) 8))))) |
(-.f32 (-.f32 (+.f32 (log.f32 #s(literal -2 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 12 binary32))) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 (/.f32 #s(literal 3/32 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 8 binary32))) (pow.f32 x #s(literal 4 binary32)))) |
(* -1 (* x (pow (sqrt -1) 2))) |
x |
(* -1 (log (/ -1 x))) |
(neg.f32 (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (fabs x) x))) |
(-.f32 (/.f32 (fabs.f32 x) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1/2 (/ (+ 1 (* -1 (pow (fabs x) 2))) x))) x))) |
(-.f32 (/.f32 (fma.f32 (fma.f32 x x #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) x) (fabs.f32 x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ (fabs x) (* -1 (/ (+ (* -1/6 (/ (+ (* -3 (fabs x)) (* 2 (pow (fabs x) 3))) x)) (* 1/2 (+ 1 (* -1 (pow (fabs x) 2))))) x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (pow.f32 (fabs.f32 x) #s(literal 3 binary32)) #s(literal 2 binary32) (*.f32 #s(literal -3 binary32) (fabs.f32 x))) x) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/2 binary32) x) x #s(literal 1/2 binary32))) x) (fabs.f32 x)) x) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/2))) |
(*.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x) |
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x) |
(+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) |
(+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) x))) x))) |
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) |
(/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) x)) 1/2) x)) 1/2) x)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x) #s(literal 1/2 binary32)) x) #s(literal -1/2 binary32)) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(*.f32 (neg.f32 x) (-.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32))) |
(* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 2))))) |
(*.f32 (pow.f32 (neg.f32 x) #s(literal 3 binary32)) (-.f32 #s(literal 1/6 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 494 |
| 0 | 75 | 366 |
| 1 | 231 | 366 |
| 0 | 1520 | 338 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x) |
(asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) |
#s(approx (* (sqrt x) (sqrt x)) x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) |
(/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) |
#s(literal 1/2 binary32) |
(-.f32 x #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x)) |
(*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x) |
(/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) |
(*.f32 #s(literal 1/2 binary32) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x)) |
(*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x) |
(*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) |
(/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) |
(/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32))) |
(-.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
(+.f32 x #s(literal -1 binary32)) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x) |
(pow.f32 x #s(literal 3 binary32)) |
#s(literal 3 binary32) |
#s(literal -1/6 binary32) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x) |
(log.f32 (+.f32 (cosh.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x))) #s(approx (* (sqrt x) (sqrt x)) x))) |
(asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) |
#s(approx (* (sqrt x) (sqrt x)) x) |
x |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))) x) |
#s(approx (asinh (* (sqrt x) (sqrt x))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32)))))) |
#s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))))) |
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(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (-.f32 #s(literal -1 binary32) x)) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 x x)) (neg.f32 (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) (-.f32 x #s(literal -1 binary32)))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 x x) (*.f32 #s(literal -1 binary32) x)))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) x)))) |
(/.f32 (fma.f32 x x #s(literal -1 binary32)) (-.f32 x #s(literal -1 binary32))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 x #s(literal -1 binary32)))) |
(-.f32 #s(literal -1 binary32) (neg.f32 x)) |
(-.f32 x #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) x)))) (/.f32 #s(literal -1 binary32) (fma.f32 x x (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) x))))) |
(+.f32 #s(literal -1 binary32) x) |
(+.f32 x #s(literal -1 binary32)) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)) x) |
#s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x)) |
(/.f32 (-.f32 (*.f32 x x) (*.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 x (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 x x))) (neg.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 x x)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) |
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 x x (-.f32 (*.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32))))) |
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x))) |
(-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) (neg.f32 x)) |
(-.f32 x (*.f32 #s(literal 1/6 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(-.f32 x (*.f32 (neg.f32 (pow.f32 x #s(literal 3 binary32))) #s(literal -1/6 binary32))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3/2 binary32))) (pow.f32 x #s(literal 3/2 binary32)) x) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) x x) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) x) (*.f32 x x) x) |
(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (*.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal -1/6 binary32)) x) |
(fma.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)) x) |
(fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x) |
(fma.f32 (*.f32 x x) (*.f32 x #s(literal -1/6 binary32)) x) |
(fma.f32 x (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 x #s(literal 6 binary32)) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32))) x) |
(+.f32 x (*.f32 #s(literal -1/6 binary32) (pow.f32 x #s(literal 3 binary32)))) |
(*.f32 (*.f32 (*.f32 x x) (neg.f32 (sqrt.f32 x))) (neg.f32 (sqrt.f32 x))) |
(*.f32 (*.f32 (*.f32 x x) (sqrt.f32 x)) (sqrt.f32 x)) |
(*.f32 (*.f32 (neg.f32 x) (neg.f32 (sqrt.f32 x))) (*.f32 (neg.f32 x) (neg.f32 (sqrt.f32 x)))) |
(*.f32 (*.f32 (neg.f32 x) (sqrt.f32 x)) (*.f32 (neg.f32 x) (sqrt.f32 x))) |
(*.f32 (*.f32 x (neg.f32 (sqrt.f32 x))) (*.f32 x (neg.f32 (sqrt.f32 x)))) |
(*.f32 (*.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 x))) |
(*.f32 (*.f32 (neg.f32 (sqrt.f32 x)) x) (*.f32 (neg.f32 (sqrt.f32 x)) x)) |
(*.f32 (*.f32 (sqrt.f32 x) (neg.f32 x)) (*.f32 (sqrt.f32 x) (neg.f32 x))) |
(*.f32 (neg.f32 (pow.f32 x #s(literal 3/2 binary32))) (neg.f32 (pow.f32 x #s(literal 3/2 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 x #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 x #s(literal 3/2 binary32)))) |
(*.f32 (*.f32 x (neg.f32 x)) (neg.f32 x)) |
(*.f32 (*.f32 x (sqrt.f32 x)) (*.f32 x (sqrt.f32 x))) |
(*.f32 (*.f32 (sqrt.f32 x) x) (*.f32 (sqrt.f32 x) x)) |
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sqrt.f32 x)) #s(literal 3 binary32))) |
(*.f32 (pow.f32 x #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3/2 binary32))) |
(*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 (neg.f32 (sqrt.f32 x)) (*.f32 x x))) |
(*.f32 (neg.f32 x) (*.f32 (neg.f32 x) x)) |
(*.f32 (*.f32 x x) x) |
(*.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (*.f32 x x))) |
(*.f32 x (*.f32 x x)) |
(pow.f32 (exp.f32 (log.f32 x)) #s(literal 3 binary32)) |
(pow.f32 (*.f32 x (sqrt.f32 x)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (sqrt.f32 x) x) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 x #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 3/2 binary32)) |
(pow.f32 (sqrt.f32 x) #s(literal 6 binary32)) |
(pow.f32 x #s(literal 3 binary32)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 x) #s(literal 3 binary32)))) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 3 binary32))) |
#s(literal 3 binary32) |
#s(literal -1/6 binary32) |
Compiled 13 966 to 2 072 computations (85.2% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 330 | 13 | 343 |
| Fresh | 0 | 5 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 334 | 20 | 354 |
| Status | Accuracy | Program |
|---|---|---|
| 35.0% | (copysign.f32 (log.f32 (fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))) x) | |
| 29.5% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)))) x) | |
| ✓ | 27.5% | (copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x) |
| 12.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x) | |
| 12.1% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x) | |
| 12.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) x) x))) x) | |
| 10.3% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x))) x) | |
| 6.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x) #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) x) | |
| 6.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) (-.f32 (sqrt.f32 x) #s(literal 1 binary32))))) x) x))) x) | |
| 12.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32))) x) x))) x) | |
| 6.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x) | |
| 6.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x) | |
| 10.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x) x))) x) | |
| 19.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 #s(literal 1/2 binary32) x)) x) x))) x) | |
| 12.5% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))) x))) x) | |
| 11.0% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (/ 1/2 (- x -1)) x) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) x))) x) | |
| 11.2% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x) | |
| 52.5% | (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) x) | |
| 52.6% | (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) |
Compiled 1 838 to 702 computations (61.8% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (/ 1/2 (- x -1)) x) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 #s(literal 1/2 binary32) x)) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x) #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) (-.f32 (sqrt.f32 x) #s(literal 1 binary32))))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x) |
(copysign.f32 (asinh.f32 (fabs.f32 x)) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 x x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (* (- (/ (fabs x) x) 1) x) (-.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) #s(approx (+ (* (/ (fabs x) x) x) x) (+.f32 (fabs.f32 x) x)))) x) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal -1/6 binary32) x)) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (fma.f32 (/.f32 (fabs.f32 x) x) x x))) x) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) #s(literal 1/6 binary32)) x)) x) |
(copysign.f32 (log.f32 #s(approx (+ (fabs x) (sqrt (+ (* x x) 1))) (*.f32 (-.f32 (/.f32 (fabs.f32 x) x) #s(literal 1 binary32)) x))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (asinh.f32 (*.f32 (sqrt.f32 x) (sqrt.f32 x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x x)) (/.f32 (+.f32 (/.f32 #s(literal 3 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) #s(literal 3 binary32)) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32)))) (*.f32 x x) (log1p.f32 (fabs.f32 x)))) x) |
(copysign.f32 (log.f32 (fma.f32 (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/4 binary32)) (fabs.f32 x))) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x) |
2 calls:
| 11.0ms | x |
| 7.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 99.5% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (/ 1/2 (- x -1)) x) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 #s(literal 1/2 binary32) x)) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x) #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) (-.f32 (sqrt.f32 x) #s(literal 1 binary32))))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x) |
2 calls:
| 7.0ms | x |
| 4.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 2 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 63.0% | 2 | x |
Compiled 13 to 10 computations (23.1% saved)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (/ 1/2 (- x -1)) x) (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 #s(literal 1/2 binary32) x)) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (*.f32 x x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) x) (-.f32 x #s(literal -1 binary32))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) x) x) (-.f32 x #s(literal -1 binary32))))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 #s(approx (* (/ 1/2 (- (fabs x) -1)) x) (*.f32 (/.f32 x (+.f32 #s(literal 1 binary32) (fabs.f32 x))) #s(literal 1/2 binary32))) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 (fabs.f32 x) #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 #s(approx (/ 1/2 (- x -1)) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) x)) x)) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (-.f32 x #s(literal 1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.f32 (-.f32 x #s(literal 1 binary32)) x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) x) (sqrt.f32 x)) (sqrt.f32 x)))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (-.f32 x #s(literal -1 binary32))) (sqrt.f32 x)) (sqrt.f32 x)) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x) #s(literal -1 binary32)) (+.f32 x #s(literal -1 binary32)))) x) x))) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) (*.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32)) (*.f32 (+.f32 (sqrt.f32 x) #s(literal 1 binary32)) (-.f32 (sqrt.f32 x) #s(literal 1 binary32))))) x) x))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) |
2 calls:
| 5.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.6% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 52.6% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x) |
| Outputs |
|---|
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.2% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| 11.2% | 1 | x |
Compiled 13 to 10 computations (23.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.235762357711792 | 7.496106147766113 |
Compiled 15 to 11 computations (26.7% saved)
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 96 |
| 1 | 69 | 92 |
| 2 | 177 | 92 |
| 3 | 472 | 92 |
| 4 | 844 | 92 |
| 5 | 1268 | 92 |
| 6 | 3986 | 92 |
| 7 | 7274 | 92 |
| 1× | node limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x) |
(if (<=.f32 x #s(literal 5 binary32)) (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 #s(approx (* (sqrt x) (sqrt x)) x)) x) |
(if (<=.f32 x #s(literal 5 binary32)) (copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log.f32 x)) x)) |
(copysign.f32 #s(approx (asinh (* (sqrt x) (sqrt x))) (fma.f32 (*.f32 (*.f32 x x) x) #s(literal -1/6 binary32) x)) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) #s(approx (+ (* (* (/ 1/2 (- (fabs x) -1)) x) x) (log (+ 1 (fabs x)))) #s(approx (* (* (/ 1/2 (- x -1)) x) x) (*.f32 (*.f32 x x) #s(literal 1/2 binary32))))) x) |
| 1× | fuel |
Compiled 108 to 45 computations (58.3% saved)
Compiled 280 to 128 computations (54.3% saved)
Loading profile data...