
Time bar (total: 4.2s)
| 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)
| 654.0ms | 8 256× | 0 | valid |
ival-asinh: 124.0ms (93.4% of total)ival-true: 5.0ms (3.8% of total)ival-assert: 3.0ms (2.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 108 | 1 | (0.008292618207633495) | 0 | - | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 73 | 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 | 108 | 2 |
sqrt.f32 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | oflow-rescue | 73 | 0 |
| ↳ | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | overflow | 73 | |
| ↳ | (*.f32 x x) | overflow | 73 | |
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 | 73 | |
| ↳ | (*.f32 x x) | overflow | 73 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 180 | 1 |
| - | 1 | 74 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 180 | 1 | 0 |
| - | 1 | 1 | 73 |
| number | freq |
|---|---|
| 0 | 75 |
| 1 | 180 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 53.0ms | 168× | 1 | valid |
| 36.0ms | 344× | 0 | valid |
Compiled 114 to 31 computations (72.8% saved)
ival-log: 28.0ms (37.9% of total)ival-hypot: 18.0ms (24.4% of total)ival-add: 13.0ms (17.6% of total)ival-copysign: 5.0ms (6.8% of total)ival-mult: 4.0ms (5.4% of total)adjust: 3.0ms (4.1% of total)ival-fabs: 3.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 0 | 9 | 12 |
| 0 | 16 | 12 |
| 1 | 24 | 12 |
| 2 | 42 | 12 |
| 3 | 69 | 12 |
| 4 | 84 | 12 |
| 0 | 84 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (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 |
|---|---|---|
| ▶ | 38.7% | (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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) | |
| cost-diff | 1 | (+.f32 (*.f32 x x) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 49 |
| 0 | 16 | 49 |
| 1 | 24 | 49 |
| 2 | 42 | 49 |
| 3 | 69 | 49 |
| 4 | 84 | 49 |
| 0 | 84 | 44 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(fma.f32 x x #s(literal 1 binary32)) |
(*.f32 x x) |
#s(literal 1 binary32) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f32 (*.f32 x x) #s(literal 1 binary32)) | |
| accuracy | 0.01953125 | (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) | |
| accuracy | 7.907664232811847 | (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) | |
| accuracy | 11.137045662837796 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
| 50.0ms | 172× | 0 | valid |
| 16.0ms | 84× | 1 | valid |
Compiled 51 to 11 computations (78.4% saved)
ival-copysign: 34.0ms (63.3% of total)ival-hypot: 6.0ms (11.2% of total)ival-log: 5.0ms (9.3% of total)ival-add: 3.0ms (5.6% of total)adjust: 2.0ms (3.7% of total)ival-mult: 2.0ms (3.7% of total)ival-fabs: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
| Outputs |
|---|
1 |
(+ 1 (pow x 2)) |
(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)))))) |
(+ 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))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (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 |
(* 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)))) |
(* -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 | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) |
| 1.0ms | x | @ | -inf | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) |
| 1.0ms | x | @ | inf | ((+ (* x x) 1) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (sqrt (+ (* x x) 1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 169 | 584 |
| 1 | 568 | 546 |
| 2 | 2202 | 528 |
| 0 | 8591 | 488 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (pow x 2)) |
(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)))))) |
(+ 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))))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 (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 |
(* 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)))) |
(* -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 |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 binary32)) |
(copysign (log (+ (fabs x) (sqrt (+ 1 (pow x 2))))) x) |
(copysign.f32 (log.f32 (+.f32 (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)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/8 binary32) (+.f32 (fabs.f32 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 (-.f32 (*.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))) |
(+ 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 (-.f32 (*.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)) |
(pow x 2) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 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 (/.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 |
(* 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) |
(* -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 (neg.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #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 (fabs.f32 x) (/.f32 (fma.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) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f32 (/.f32 (-.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 3 binary32)))) x) x (neg.f32 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))))) |
(neg.f32 (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)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f32 (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 16 | 30 |
| 1 | 56 | 22 |
| 2 | 375 | 17 |
| 3 | 4916 | 17 |
| 0 | 8251 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 x x) #s(literal 1 binary32)) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.f32 (pow.f32 (*.f32 (fma.f32 x x #s(literal 1 binary32)) (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (sin.f32 (acos.f32 x))) |
(*.f32 (pow.f32 (fabs.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (fabs.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (sin.f32 (acos.f32 x))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (sin.f32 (acos.f32 x))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) #s(literal 1 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) #s(literal 1 binary32)) (pow.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 6 binary32)) (pow.f32 x #s(literal 12 binary32)))) #s(literal 1 binary32)) (pow.f32 (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) #s(literal 1 binary32)) (pow.f32 (+.f32 x #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (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 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal -1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32)))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 x x #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (-.f32 (pow.f32 x #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))))) (-.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal 1 binary32)))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 6 binary32)) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) (pow.f32 x #s(literal 8 binary32)))) |
(*.f32 (*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (/.f32 (fma.f32 x x #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (+.f32 x #s(literal 1 binary32))) |
(*.f32 (neg.f32 (neg.f32 (sin.f32 (acos.f32 x)))) (neg.f32 (neg.f32 (sin.f32 (acos.f32 x))))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (neg.f32 (sin.f32 (acos.f32 x))) (fma.f32 x x #s(literal 1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) #s(literal 1/2 binary32))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (sin.f32 (acos.f32 x))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (sin.f32 (acos.f32 x)))) |
(*.f32 (neg.f32 (sin.f32 (acos.f32 x))) (neg.f32 (sin.f32 (acos.f32 x)))) |
(*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32))) |
(*.f32 (sin.f32 (acos.f32 x)) (sin.f32 (acos.f32 x))) |
(*.f32 (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 binary32))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32)))) |
(*.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1 binary32)) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (neg.f32 (sin.f32 (acos.f32 x)))) (neg.f32 (sin.f32 (acos.f32 x)))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (sin.f32 (acos.f32 x))) (sin.f32 (acos.f32 x))) |
(/.f32 (/.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)) (+.f32 x #s(literal 1 binary32))) (-.f32 x #s(literal 1 binary32))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sin.f32 (acos.f32 x))) (sinh.f32 (acosh.f32 x))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sin.f32 (acos.f32 x))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) (sin.f32 (acos.f32 x))) #s(literal 2 binary32)) |
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (sinh.f32 (acosh.f32 (*.f32 x x)))) (sinh.f32 (acosh.f32 x))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(/.f32 (*.f32 (sin.f32 (acos.f32 x)) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))))) (+.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 (-.f32 (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) (fma.f32 x x #s(literal -1 binary32))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (/.f32 (pow.f32 x #s(literal 4 binary32)) (fma.f32 x x #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x x #s(literal -1 binary32))) (*.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 (+.f32 (pow.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal -3 binary32))) (fma.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32))))) (*.f32 (/.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) (neg.f32 (fma.f32 x x #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 (sinh.f32 (acosh.f32 x)) (sinh.f32 (acosh.f32 x)))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (sinh.f32 (acosh.f32 x)) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (*.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) (*.f32 (sinh.f32 (acosh.f32 x)) #s(literal 2 binary32))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sinh.f32 (acosh.f32 (*.f32 x x)))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x) (sinh.f32 (acosh.f32 x)))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (*.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) (*.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x) #s(literal 2 binary32))) |
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(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) |
(*.f32 (sin.f32 (acos.f32 x)) (pow.f32 (/.f32 (fma.f32 x x #s(literal -1 binary32)) (fma.f32 x x #s(literal -1 binary32))) #s(literal 1/2 binary32))) |
(*.f32 (sin.f32 (acos.f32 x)) (pow.f32 #s(literal 1 binary32) #s(literal 1/4 binary32))) |
(*.f32 (sin.f32 (acos.f32 x)) #s(literal 1 binary32)) |
(sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) |
(/.f32 (neg.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (neg.f32 (sinh.f32 (acosh.f32 x)))) |
(/.f32 (neg.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal -2 binary32)) |
(/.f32 (fabs.f32 (sinh.f32 (acosh.f32 (*.f32 x x)))) (fabs.f32 (sinh.f32 (acosh.f32 x)))) |
(/.f32 (fabs.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32))))) (fabs.f32 (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x))) |
(/.f32 (fabs.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x)))) #s(literal 2 binary32)) |
(/.f32 (sqrt.f32 (neg.f32 (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 x x #s(literal -1 binary32))))) |
(/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (pow.f32 x #s(literal 6 binary32)))) (sqrt.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (pow.f32 x #s(literal 4 binary32)))))) |
(/.f32 (sinh.f32 (acosh.f32 (*.f32 x x))) (sinh.f32 (acosh.f32 x))) |
(/.f32 (sin.f32 (acos.f32 (pow.f32 x #s(literal 3 binary32)))) (hypot.f32 (fma.f32 x x #s(literal 1 binary32)) x)) |
(/.f32 (*.f32 #s(literal 2 binary32) (sin.f32 (acos.f32 x))) #s(literal 2 binary32)) |
(/.f32 (fma.f32 x x #s(literal 1 binary32)) (sin.f32 (acos.f32 x))) |
(-.f32 (*.f32 (cosh.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (cosh.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x)))))) (*.f32 (sinh.f32 (log.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (sinh.f32 (log.f32 (neg.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x))))))) |
(-.f32 (*.f32 (cosh.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) (cosh.f32 (log.f32 (-.f32 x (sin.f32 (acos.f32 x)))))) (*.f32 (sinh.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal -1 binary32)) (*.f32 x x)))) (sinh.f32 (log.f32 (-.f32 x (sin.f32 (acos.f32 x))))))) |
(-.f32 (*.f32 (cosh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (cosh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x))))) (*.f32 (sinh.f32 (log.f32 (-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (sinh.f32 (log.f32 (fma.f32 (exp.f32 (asinh.f32 x)) (sin.f32 (acos.f32 x)) (*.f32 x x)))))) |
(-.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 3 binary32)) (*.f32 (sinh.f32 (asinh.f32 (*.f32 x x))) x)) |
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32)))) #s(literal 1/8 binary32)) |
(pow.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32)) |
(pow.f32 (neg.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32)) |
(pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1 binary32)) |
(pow.f32 (fma.f32 x x #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(sin.f32 (acos.f32 (exp.f32 (log.f32 x)))) |
(sin.f32 (acos.f32 x)) |
(fabs.f32 (neg.f32 (sin.f32 (acos.f32 x)))) |
(fabs.f32 (sin.f32 (acos.f32 x))) |
(+.f32 (/.f32 (exp.f32 (asinh.f32 x)) #s(literal 2 binary32)) (/.f32 (exp.f32 (asinh.f32 x)) #s(literal 2 binary32))) |
(+.f32 (cosh.f32 (log.f32 (sin.f32 (acos.f32 x)))) (sinh.f32 (log.f32 (sin.f32 (acos.f32 x))))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (sin.f32 (acos.f32 x)) #s(literal 1/2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log1p.f32 (pow.f32 x #s(literal 4 binary32))) #s(literal 1/4 binary32))) |
(exp.f32 (*.f32 (log.f32 (sin.f32 (acos.f32 x))) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (neg.f32 (sin.f32 (acos.f32 x)))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 (sin.f32 (acos.f32 x)))) |
(cosh.f32 (asinh.f32 (exp.f32 (log.f32 x)))) |
(cosh.f32 (asinh.f32 x)) |
(cos.f32 (asin.f32 (exp.f32 (log.f32 x)))) |
(cos.f32 (asin.f32 x)) |
Compiled 11 787 to 2 608 computations (77.9% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 492 | 5 | 497 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 493 | 5 | 498 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 31.4% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
| ▶ | 30.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) x) |
| ▶ | 29.5% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
| ▶ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
| ▶ | 49.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
Compiled 182 to 132 computations (27.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) x) | |
| cost-diff | 2 | (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) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) | |
| cost-diff | 4 | (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) | |
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) | |
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (log1p.f32 (fabs.f32 x)) | |
| cost-diff | 0 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) | |
| cost-diff | 0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) | |
| cost-diff | 0 | (asinh.f32 x) | |
| cost-diff | 0 | (copysign.f32 (asinh.f32 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 418 |
| 0 | 72 | 418 |
| 1 | 94 | 418 |
| 2 | 136 | 418 |
| 3 | 223 | 418 |
| 4 | 428 | 398 |
| 5 | 1109 | 398 |
| 6 | 2340 | 393 |
| 7 | 3604 | 393 |
| 8 | 5603 | 393 |
| 0 | 8339 | 373 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fabs.f32 x) |
x |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(*.f32 x x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(literal -1/2 binary32) |
(*.f32 x x) |
#s(literal -1 binary32) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (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)) |
(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) |
(-.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)))) |
(-.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 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) |
#s(literal 1/16 binary32) |
(pow.f32 x #s(literal 6 binary32)) |
#s(literal 6 binary32) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(literal -1/2 binary32) |
(*.f32 x x) |
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 1/8 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
x |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(*.f32 x x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
#s(approx (sqrt (+ (* x x) 1)) (-.f32 (/.f32 #s(literal -1/2 binary32) x) x)) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(-.f32 (/.f32 #s(literal -1/2 binary32) x) x) |
(+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) |
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(literal -1/2 binary32) |
(*.f32 x x) |
#s(literal -1 binary32) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (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)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x))) |
(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) |
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x (/.f32 #s(literal 1/2 binary32) x)) |
(-.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)))) |
(-.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 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) |
#s(literal 1/16 binary32) |
(pow.f32 x #s(literal 6 binary32)) |
#s(literal 6 binary32) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(literal -1/2 binary32) |
(*.f32 x x) |
(/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) |
#s(literal 1/8 binary32) |
(pow.f32 x #s(literal 4 binary32)) |
#s(literal 4 binary32) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.605468868238047 | (-.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)))) | |
| accuracy | 11.137045662837796 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) | |
| accuracy | 14.18393457331584 | (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) | |
| accuracy | 22.342049431925307 | #s(approx (sqrt (+ (* x x) 1)) (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)) | |
| accuracy | 0.8807278574061767 | (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) | |
| accuracy | 6.377878620775656 | (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) | |
| accuracy | 11.137045662837796 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) | |
| accuracy | 22.513975112698482 | #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) | |
| accuracy | 0.01953125 | (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) | |
| accuracy | 7.907664232811847 | (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) | |
| accuracy | 11.137045662837796 | (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) | |
| accuracy | 13.78003376005283 | #s(approx (+ (* x x) 1) (*.f32 x x)) | |
| accuracy | 0.0 | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) | |
| accuracy | 0.0 | (fabs.f32 x) | |
| accuracy | 10.793347434021452 | #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) | |
| accuracy | 16.898769648750328 | (log1p.f32 (fabs.f32 x)) | |
| accuracy | 0.0 | (copysign.f32 (asinh.f32 x) x) | |
| accuracy | 0.16015625 | (asinh.f32 x) |
| 88.0ms | 172× | 0 | valid |
| 47.0ms | 84× | 1 | valid |
Compiled 271 to 31 computations (88.6% saved)
ival-log: 43.0ms (40.5% of total)ival-mult: 15.0ms (14.1% of total)ival-pow: 10.0ms (9.4% of total)ival-div: 6.0ms (5.6% of total)ival-hypot: 6.0ms (5.6% of total)ival-add: 6.0ms (5.6% of total)adjust: 5.0ms (4.7% of total)ival-asinh: 4.0ms (3.8% of total)ival-copysign: 4.0ms (3.8% of total)ival-sub: 3.0ms (2.8% of total)ival-log1p: 2.0ms (1.9% of total)ival-fabs: 1.0ms (0.9% of total)exact: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
(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) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(approx (sqrt (+ (* x x) 1)) (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)) |
(-.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)))) |
| 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))))))) |
(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)))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/ 1/16 (pow x 5)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
1 |
(+ 1 (pow x 2)) |
(+ 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))))) |
(/ -1/2 (pow x 2)) |
(/ 1/16 (pow x 6)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(+ (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)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* 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) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(/ 1/2 (pow x 2)) |
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -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 (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
(* -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 | |
|---|---|---|---|---|
| 45.0ms | x | @ | 0 | ((copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (+ (/ -1/2 (* x 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))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4)))) |
| 36.0ms | x | @ | inf | ((copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (+ (/ -1/2 (* x 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))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4)))) |
| 17.0ms | x | @ | -inf | ((copysign (asinh x) x) (asinh x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log (+ 1 (fabs x))) (fabs x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (* (+ (/ -1/2 (* x 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))) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (+ (* x x) 1) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (/ -1/2 (* x x)) (sqrt (+ (* x x) 1)) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 248 | 955 |
| 1 | 784 | 903 |
| 2 | 2817 | 884 |
| 0 | 8256 | 832 |
| 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))))))) |
(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)))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/ 1/16 (pow x 5)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
1 |
(+ 1 (pow x 2)) |
(+ 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))))) |
(/ -1/2 (pow x 2)) |
(/ 1/16 (pow x 6)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(+ (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)))) |
(* x (+ 1 (/ (fabs x) x))) |
(* x (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x)))) |
(* x (- (+ 1 (+ (/ 1/2 (pow x 2)) (/ (fabs x) x))) (* 1/8 (/ 1 (pow x 4))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* 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) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(/ 1/2 (pow x 2)) |
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -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 (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
(* -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 (+ 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 #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 (fma.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 x 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))) (/.f32 #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 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 x x)) (-.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 (/.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))) #s(literal -1/24 binary32))) (*.f32 x x) (/.f32 #s(literal 1/2 binary32) (+.f32 #s(literal 1 binary32) (fabs.f32 x)))) (*.f32 x x) (log1p.f32 (fabs.f32 x))) |
(fabs x) |
(fabs.f32 x) |
(+ 1 (fabs x)) |
(+.f32 #s(literal 1 binary32) (fabs.f32 x)) |
(+ 1 (+ (fabs x) (* 1/2 (pow x 2)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 #s(literal 1 binary32) (fabs.f32 x))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (+.f32 (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -1/8 binary32) (fabs.f32 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 (-.f32 (*.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))) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/.f32 (fma.f32 (neg.f32 x) x #s(literal -1/2 binary32)) x) |
(/ 1/16 (pow x 5)) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (-.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/8 binary32))) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
1 |
#s(literal 1 binary32) |
(+ 1 (pow x 2)) |
(fma.f32 x x #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 (-.f32 (*.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)) |
(/ -1/2 (pow x 2)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
(/ 1/16 (pow x 6)) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 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 (/.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 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x x) |
(* -1 x) |
(neg.f32 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) |
(* 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 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) 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) |
(*.f32 x x) |
(* (pow x 2) (+ 1 (/ 1 (pow x 2)))) |
(fma.f32 x x #s(literal 1 binary32)) |
(/ 1/2 (pow x 2)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 x x)) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 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 (neg.f32 (-.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) #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 (fabs.f32 x) (/.f32 (fma.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) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 x)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(* -1 (* x (+ 1 (* -1 (/ (fabs x) x))))) |
(fma.f32 (/.f32 (fabs.f32 x) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (- (fabs x) (* 1/2 (/ 1 x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x)) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (neg.f32 x)) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x)))) (neg.f32 x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(*.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/8 binary32) (*.f32 x x)) #s(literal -1/2 binary32)) (*.f32 x x)) #s(literal -1 binary32)) x) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f32 (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 352 |
| 0 | 72 | 322 |
| 1 | 237 | 314 |
| 2 | 1787 | 299 |
| 0 | 9444 | 288 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(asinh.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) |
(log1p.f32 (fabs.f32 x)) |
(fabs.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x))) |
(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) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)) |
(/.f32 #s(literal -1/2 binary32) (*.f32 x x)) |
#s(approx (sqrt (+ (* x x) 1)) (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)) |
(-.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)))) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(log.f32 (exp.f32 (asinh.f32 x))) |
(-.f32 (log.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) (*.f32 x x))) (log.f32 (-.f32 (cosh.f32 (asinh.f32 x)) x))) |
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32))))) (log.f32 (neg.f32 (-.f32 x (cosh.f32 (asinh.f32 x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) x) (*.f32 x x))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (-.f32 x (cosh.f32 (asinh.f32 x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (fma.f32 x x #s(literal 1 binary32)) (-.f32 (*.f32 x x) (*.f32 (cosh.f32 (asinh.f32 x)) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 (cosh.f32 (asinh.f32 x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 (cosh.f32 (asinh.f32 x)) (-.f32 (cosh.f32 (asinh.f32 x)) x) (*.f32 x x)))) |
(asinh.f32 x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) x) |
#s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 x)) |
(log.f32 (+.f32 #s(literal 1 binary32) x)) |
(-.f32 (log.f32 (neg.f32 (fma.f32 x x #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) #s(literal 1 binary32)))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(literal 1 binary32)) x)))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) #s(literal 1 binary32))) (log.f32 (-.f32 x #s(literal 1 binary32)))) |
(-.f32 (log1p.f32 (*.f32 x x)) (log.f32 (-.f32 #s(literal 1 binary32) x))) |
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log.f32 (fma.f32 x x (-.f32 #s(literal 1 binary32) x)))) |
(-.f32 (log1p.f32 (pow.f32 x #s(literal 3 binary32))) (log1p.f32 (-.f32 (*.f32 x x) x))) |
(log1p.f32 x) |
(*.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x))) |
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(*.f32 #s(literal 1 binary32) x) |
(*.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32))) |
(*.f32 x #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 x x)) |
(pow.f32 (sqrt.f32 x) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(pow.f32 x #s(literal 1 binary32)) |
(fabs.f32 x) |
(+.f32 (cosh.f32 (log.f32 x)) (sinh.f32 (log.f32 x))) |
(exp.f32 (/.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 1 binary32))) |
(exp.f32 (log.f32 x)) |
(neg.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(-.f32 (log.f32 (-.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) (*.f32 x x))) (log.f32 (-.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))) |
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) #s(approx (+ (* x x) 1) (*.f32 x x))))) (log.f32 (neg.f32 (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (-.f32 (fma.f32 x x #s(approx (+ (* x x) 1) (*.f32 x x))) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) #s(approx (+ (* x x) 1) (*.f32 x x)))) (log.f32 (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (-.f32 (fma.f32 x x #s(approx (+ (* x x) 1) (*.f32 x x))) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)))) |
(/.f32 (neg.f32 (-.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) (*.f32 x x))) (neg.f32 (-.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 x x) #s(approx (+ (* x x) 1) (*.f32 x x))))) (neg.f32 (neg.f32 (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (-.f32 (fma.f32 x x #s(approx (+ (* x x) 1) (*.f32 x x))) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))))) |
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (*.f32 (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(approx (+ (* x x) 1) (*.f32 x x)))) (*.f32 (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(/.f32 (-.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) (*.f32 x x)) (-.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) #s(approx (+ (* x x) 1) (*.f32 x x)))) (neg.f32 (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (-.f32 (fma.f32 x x #s(approx (+ (* x x) 1) (*.f32 x x))) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)))) |
(/.f32 (-.f32 (*.f32 x x) #s(approx (+ (* x x) 1) (*.f32 x x))) (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(/.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (+.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) (-.f32 (*.f32 x x) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 3/2 binary32)) (pow.f32 x #s(literal 3 binary32))) (-.f32 (fma.f32 x x #s(approx (+ (* x x) 1) (*.f32 x x))) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (/.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) (-.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(fma.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fma.f32 (neg.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))) x) |
(fma.f32 (fabs.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32))) x) |
(fma.f32 (sqrt.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (sqrt.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(fma.f32 (sqrt.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (sqrt.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) x) |
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fma.f32 (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1/2 binary32)) x) |
(fma.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1/4 binary32)) x) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fma.f32 #s(literal 1 binary32) x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fma.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(fma.f32 x #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (-.f32 (fma.f32 x x #s(approx (+ (* x x) 1) (*.f32 x x))) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x))) (/.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 3/2 binary32)) (-.f32 (fma.f32 x x #s(approx (+ (* x x) 1) (*.f32 x x))) (*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)))) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(+.f32 x (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(*.f32 x (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x)) (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) x)) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))) |
(/.f32 (neg.f32 (*.f32 x (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)))) (neg.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)))) (neg.f32 (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))) |
(/.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) x) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) |
(/.f32 (*.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32)) x) (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(/.f32 (*.f32 x (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal -1 binary32))) |
(/.f32 (*.f32 x (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal -1 binary32))) (-.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(fma.f32 #s(literal -1 binary32) x (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)) |
(fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x (*.f32 #s(literal -1 binary32) x)) |
(fma.f32 x #s(literal -1 binary32) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(fma.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (*.f32 x #s(literal -1 binary32))) |
(+.f32 (*.f32 #s(literal -1 binary32) x) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x)) |
(+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) x) (*.f32 #s(literal -1 binary32) x)) |
(+.f32 (*.f32 x #s(literal -1 binary32)) (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(+.f32 (*.f32 x (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (*.f32 x #s(literal -1 binary32))) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) x)) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #s(literal 2 binary32)) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) x))) |
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) x) (*.f32 x x))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) x) (*.f32 x x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) #s(literal 2 binary32)) (*.f32 x x))) (neg.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x)) x))) |
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(/.f32 (-.f32 (*.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))))) (pow.f32 x #s(literal 12 binary32))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32)))))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x)))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))))))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32)))))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (+.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)))))))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x (pow.f32 x #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (pow.f32 x #s(literal 4 binary32)) (*.f32 x #s(literal -1/8 binary32))))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 x (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x (pow.f32 x #s(literal 4 binary32)))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) x) (pow.f32 x #s(literal 4 binary32)) (*.f32 x #s(literal 1/8 binary32))))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 x (pow.f32 x #s(literal 4 binary32))))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))) (pow.f32 x #s(literal 12 binary32))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 #s(literal 1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))))) (pow.f32 x #s(literal 12 binary32))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal -1/8 binary32))))) (pow.f32 x #s(literal 12 binary32))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (*.f32 (pow.f32 x #s(literal 6 binary32)) (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32))))) (pow.f32 x #s(literal 12 binary32))) |
(/.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) (*.f32 x x)) |
(/.f32 (-.f32 #s(literal 1/16 binary32) (fma.f32 #s(literal -1/2 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/8 binary32)))) (pow.f32 x #s(literal 6 binary32))) |
(/.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))) |
(/.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 3 binary32))) (+.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (+.f32 (pow.f32 (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))))))) |
(/.f32 (neg.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))))) (neg.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)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 3 binary32)) (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32))))) (neg.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (+.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)))) (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))))))) |
(/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal -1/8 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 1/8 binary32))) (*.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) #s(literal -1/8 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal -1/4096 binary32) (pow.f32 x #s(literal 18 binary32))) (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 6 binary32)))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) #s(literal 1/8 binary32))) (*.f32 (+.f32 (-.f32 (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/32 binary32) (pow.f32 x #s(literal 8 binary32)))) (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32)))) (pow.f32 x #s(literal 4 binary32)))) |
(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal -1/8 binary32))) (pow.f32 x #s(literal 12 binary32))) |
(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 1/16 binary32) (*.f32 x x) (*.f32 (pow.f32 x #s(literal 6 binary32)) #s(literal -1/2 binary32))) (pow.f32 x #s(literal 4 binary32))) (*.f32 (pow.f32 x #s(literal 8 binary32)) #s(literal 1/8 binary32))) (pow.f32 x #s(literal 12 binary32))) |
(/.f32 (-.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32)))) (+.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))))) |
(/.f32 (-.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 3 binary32)) (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32)))) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (+.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)))) (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))))) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))) (+.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))))) (/.f32 (/.f32 #s(literal -1/64 binary32) (pow.f32 x #s(literal 8 binary32))) (+.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)))))) |
(-.f32 (/.f32 (pow.f32 (-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) #s(literal 3 binary32)) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (+.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)))) (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32)))))) (/.f32 (/.f32 #s(literal -1/512 binary32) (pow.f32 x #s(literal 12 binary32))) (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (+.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)))) (-.f32 (/.f32 #s(literal -1/256 binary32) (pow.f32 x #s(literal 12 binary32))) (/.f32 #s(literal -1/4 binary32) (pow.f32 x #s(literal 4 binary32))))))) |
(-.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)))) |
(-.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
Compiled 17 070 to 2 537 computations (85.1% saved)
5 alts after pruning (3 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 441 | 3 | 444 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 444 | 5 | 449 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 18.1% | (copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
| ▶ | 29.3% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) x) |
| ▶ | 31.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
| ✓ | 49.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
Compiled 99 to 69 computations (30.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) | |
| cost-diff | 0 | (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) | |
| cost-diff | 0 | (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) | |
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) x) | |
| cost-diff | 0 | (fabs.f32 x) | |
| cost-diff | 0 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))) | |
| cost-diff | 0 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 375 |
| 0 | 58 | 375 |
| 1 | 79 | 375 |
| 2 | 121 | 375 |
| 3 | 208 | 375 |
| 4 | 413 | 355 |
| 5 | 1064 | 355 |
| 6 | 2197 | 355 |
| 7 | 2880 | 355 |
| 8 | 3145 | 355 |
| 9 | 3229 | 355 |
| 10 | 3283 | 355 |
| 11 | 3331 | 355 |
| 12 | 3861 | 355 |
| 13 | 4096 | 355 |
| 14 | 5068 | 355 |
| 15 | 6088 | 355 |
| 16 | 6882 | 355 |
| 0 | 8075 | 336 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)) |
(neg.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x))) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)) |
(fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x) |
#s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
#s(literal 1/2 binary32) |
(*.f32 x x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(*.f32 x x) |
x |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)) |
(neg.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)) (fabs.f32 x))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)) (fabs.f32 x))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)) (fabs.f32 x)) |
(fabs.f32 x) |
x |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)) |
(fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x) |
#s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
#s(literal 1/2 binary32) |
(*.f32 x x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(*.f32 x x) |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.350353189107994 | (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) | |
| accuracy | 7.907664232811847 | (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) | |
| accuracy | 10.973568672630627 | (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) | |
| accuracy | 13.78003376005283 | #s(approx (+ (* x x) 1) (*.f32 x x)) | |
| accuracy | 6.775681368219381 | #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) | |
| accuracy | 11.137045662837796 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) | |
| accuracy | 14.18393457331584 | (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x) | |
| accuracy | 22.342049431925307 | #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)) | |
| accuracy | 0.01953125 | (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))) | |
| accuracy | 11.137045662837796 | (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) | |
| accuracy | 13.848145104333758 | #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)) | |
| accuracy | 22.513975112698482 | #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) |
| 121.0ms | 146× | 1 | valid |
| 23.0ms | 110× | 0 | valid |
Compiled 183 to 34 computations (81.4% saved)
ival-mult: 42.0ms (32.8% of total)ival-hypot: 24.0ms (18.7% of total)ival-log: 15.0ms (11.7% of total)adjust: 9.0ms (7% of total)ival-div: 8.0ms (6.2% of total)ival-pow: 8.0ms (6.2% of total)ival-add: 8.0ms (6.2% of total)ival-copysign: 6.0ms (4.7% of total)ival-sub: 4.0ms (3.1% of total)ival-fabs: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))) |
(fabs.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x))) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)) |
(fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x) |
#s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x 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))))))) |
(+ 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) |
(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)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 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))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/ 1/16 (pow x 5)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/ 1/16 (pow x 6)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(+ 1 (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))))) |
(+ (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))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (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)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(/ 1/2 (pow x 2)) |
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(pow x 2) |
(* (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 (* -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))))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (sqrt (+ (* x x) 1)) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (+ (* x x) 1)) |
| 1.0ms | 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (sqrt (+ (* x x) 1)) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (+ (* x x) 1)) |
| 1.0ms | 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) (copysign (log (+ (fabs x) (sqrt (+ (* x x) 1)))) x) (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (+ (fabs x) (sqrt (+ (* x x) 1))) (copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x) (sqrt (+ (* x x) 1)) (+ (* (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) x) x) (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (+ (* x x) 1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 1073 |
| 1 | 876 | 1021 |
| 2 | 3108 | 1005 |
| 0 | 8355 | 947 |
| 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) |
(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)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 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))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/ 1/16 (pow x 5)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/ 1/16 (pow x 6)) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(+ 1 (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))))) |
(+ (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))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (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)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(/ 1/2 (pow x 2)) |
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(pow x 2) |
(* (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 (* -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))))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
| 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)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 x) #s(literal 1 binary32))) |
(+ 1 (+ (fabs x) (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))) |
(fma.f32 #s(literal -1/8 binary32) (pow.f32 x #s(literal 4 binary32)) (fma.f32 #s(literal 1/2 binary32) (*.f32 x x) (+.f32 (fabs.f32 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 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #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) |
(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)) (-.f32 (fma.f32 #s(literal -5/112 binary32) (pow.f32 x #s(literal 4 binary32)) (*.f32 #s(literal 3/40 binary32) (*.f32 x x))) #s(literal 1/6 binary32)) x) |
1 |
#s(literal 1 binary32) |
(+ 1 x) |
(+.f32 #s(literal 1 binary32) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) 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 (-.f32 (*.f32 (*.f32 x x) #s(literal 1/16 binary32)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) (*.f32 x x) #s(literal 1 binary32)) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/.f32 (fma.f32 (neg.f32 x) x #s(literal -1/2 binary32)) x) |
(/ 1/16 (pow x 5)) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 5)) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 5)) |
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* (pow x 2) (+ 1/2 (pow x 2))) 1/8))) (pow x 5)) |
(/.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) x) x (pow.f32 x #s(literal 4 binary32))) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 5 binary32))) |
(/ 1/16 (pow x 6)) |
(/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 1/16 (* -1/8 (pow x 2))) (pow x 6)) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(/ (+ 1/16 (* (pow x 2) (- (* 1/2 (pow x 2)) 1/8))) (pow x 6)) |
(/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/16 binary32)) (pow.f32 x #s(literal 6 binary32))) |
(+ 1 (pow x 2)) |
(fma.f32 x x #s(literal 1 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 (/.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 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x 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)))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) |
(* x (- (+ 2 (* 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 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) #s(literal 2 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 (+ 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 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) 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) |
(* -1 x) |
(neg.f32 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) |
(/ 1/2 (pow x 2)) |
(/.f32 #s(literal 1/2 binary32) (*.f32 x x)) |
(/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) |
(/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (*.f32 x x)) |
(pow x 2) |
(*.f32 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 (/.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 (fabs.f32 x) (/.f32 (fma.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) (*.f32 (fma.f32 x x #s(literal -1 binary32)) #s(literal -1/2 binary32))) x)) (neg.f32 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))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 #s(literal 1/2 binary32) x)) x) x (neg.f32 x)) |
(* -1 (* x (+ 1 (* -1 (/ (+ (fabs x) (* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))) x))))) |
(fma.f32 (/.f32 (-.f32 (fabs.f32 x) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x)) x) x (neg.f32 x)) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) x))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f32 (-.f32 (+.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32)))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 x x)) #s(literal -1 binary32) #s(literal -1/2 binary32)) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (neg.f32 x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) (/.f32 #s(literal 5/128 binary32) (pow.f32 x #s(literal 6 binary32)))) (neg.f32 x)) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f32 (fma.f32 (/.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/8 binary32) (*.f32 x x))) x) x) x x)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f32 (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)) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (* 1/2 (/ 1 (pow x 2))))))) |
(*.f32 (neg.f32 x) (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x x)))) |
(* -1 (* x (- (/ 1/8 (pow x 4)) (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6)))))))) |
(*.f32 (neg.f32 x) (-.f32 (-.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/2 binary32) (*.f32 x x))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 356 |
| 0 | 58 | 332 |
| 1 | 204 | 332 |
| 2 | 1557 | 320 |
| 0 | 9625 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)))) |
(fabs.f32 x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) x) |
(log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) |
(+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x))) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) |
(+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x) |
(sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x)) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)) |
(fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x) |
#s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(-.f32 (log.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(-.f32 (log.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))) |
(-.f32 (log.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (*.f32 x x))) (neg.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) (neg.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))))) |
(/.f32 (-.f32 (*.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (*.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (*.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) |
(/.f32 (-.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (*.f32 x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))) |
(/.f32 (*.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))) |
(/.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))) |
(-.f32 (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) (/.f32 (*.f32 x x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(-.f32 (/.f32 (*.f32 x x) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) |
(fma.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(fma.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(fma.f32 x #s(literal 1 binary32) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (*.f32 x x)))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) |
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(*.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x))) |
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x) |
(*.f32 (sqrt.f32 x) (sqrt.f32 x)) |
(*.f32 #s(literal 1 binary32) x) |
(*.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32))) |
(*.f32 x #s(literal 1 binary32)) |
(sqrt.f32 (*.f32 x x)) |
(pow.f32 (sqrt.f32 x) #s(literal 2 binary32)) |
(pow.f32 (*.f32 x x) #s(literal 1/2 binary32)) |
(pow.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/4 binary32)) |
(pow.f32 x #s(literal 1 binary32)) |
(fabs.f32 x) |
(+.f32 (cosh.f32 (log.f32 x)) (sinh.f32 (log.f32 x))) |
(exp.f32 (/.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 x) #s(literal 1 binary32))) |
(exp.f32 (log.f32 x)) |
(neg.f32 x) |
x |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) x)) |
(-.f32 (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) #s(literal 2 binary32)) (*.f32 x x))) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) x))) |
(-.f32 (log.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) #s(literal 2 binary32))))) (log.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)))))) |
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))))) (log.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) x) (*.f32 x x))))) |
(-.f32 (log.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) #s(literal 2 binary32)))) (log.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) #s(literal 2 binary32)) (-.f32 (*.f32 x x) (*.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) x))))) |
(-.f32 (log.f32 (+.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) x) (*.f32 x x)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) #s(literal 2 binary32)) (*.f32 x x))) (neg.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) x))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)))))) |
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(fabs.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(fabs.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
(+.f32 (cosh.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (sinh.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(exp.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
#s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) |
(*.f32 (+.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 1 binary32)) x) |
(*.f32 x (+.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)) (*.f32 x x)))) (neg.f32 (neg.f32 (-.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x)))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 x (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)) (-.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x)) (*.f32 (-.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x) (*.f32 x x))) (*.f32 (-.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x) (-.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)) (*.f32 x x)) (-.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x)) |
(/.f32 (-.f32 (*.f32 x x) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32))) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)) (*.f32 x x))) (neg.f32 (-.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x x (-.f32 (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)) (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (*.f32 x x)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 3 binary32)))) (neg.f32 (fma.f32 x (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32))))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 3 binary32))) (fma.f32 x x (-.f32 (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)) (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) (*.f32 x x))))) |
(/.f32 (+.f32 (pow.f32 x #s(literal 3 binary32)) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 3 binary32))) (fma.f32 x (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (*.f32 x x) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x)) (/.f32 (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)) (-.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x))) |
(-.f32 x (*.f32 (neg.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x))) x)) |
(-.f32 x (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)) |
(fma.f32 (neg.f32 (sqrt.f32 x)) (neg.f32 (sqrt.f32 x)) (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)) |
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) x (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)) |
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)) |
(fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x) |
(fma.f32 #s(literal 1 binary32) x (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)) |
(fma.f32 x (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)) |
(fma.f32 x #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) |
(fma.f32 x #s(literal 1 binary32) (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 3 binary32)) (fma.f32 x (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32)))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 x (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x x) (pow.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) #s(literal 2 binary32))))) |
(+.f32 (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x) x) |
(+.f32 x (*.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) x)) |
#s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 (/.f32 #s(literal 1/2 binary32) x) x)) |
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) (neg.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))))) |
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) |
(*.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
#s(approx (+ (* x x) 1) (*.f32 x x)) |
(sqrt.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) |
(pow.f32 (neg.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 2 binary32)) |
(pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 1 binary32)) |
(fabs.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) |
(exp.f32 (*.f32 (log.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 #s(approx (+ (* x x) 1) (*.f32 x x)) #s(literal 2 binary32))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) #s(literal 1 binary32))) |
(exp.f32 (log.f32 #s(approx (+ (* x x) 1) (*.f32 x x)))) |
Compiled 11 799 to 1 318 computations (88.8% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 268 | 1 | 269 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 1 | 3 |
| Done | 0 | 2 | 2 |
| Total | 270 | 4 | 274 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 31.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
| ▶ | 29.7% | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
| ✓ | 49.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
Compiled 68 to 47 computations (30.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) | |
| cost-diff | 0 | (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) | |
| cost-diff | 0 | (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) | |
| cost-diff | 0 | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 94 |
| 0 | 18 | 94 |
| 1 | 30 | 94 |
| 2 | 61 | 94 |
| 3 | 126 | 94 |
| 4 | 293 | 74 |
| 5 | 849 | 74 |
| 6 | 1844 | 74 |
| 7 | 2472 | 74 |
| 8 | 2727 | 74 |
| 9 | 2806 | 74 |
| 10 | 2856 | 74 |
| 11 | 2896 | 74 |
| 12 | 3384 | 74 |
| 13 | 3603 | 74 |
| 14 | 4458 | 74 |
| 15 | 5042 | 74 |
| 16 | 5760 | 74 |
| 17 | 7015 | 74 |
| 18 | 7936 | 74 |
| 0 | 8030 | 70 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
x |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.350353189107994 | (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) | |
| accuracy | 10.973568672630627 | (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) | |
| accuracy | 22.513975112698482 | #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) | |
| accuracy | 31.30456193329743 | #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
| 34.0ms | 146× | 1 | valid |
| 10.0ms | 110× | 0 | valid |
Compiled 46 to 14 computations (69.6% saved)
ival-hypot: 10.0ms (27.7% of total)ival-div: 6.0ms (16.6% of total)ival-log: 6.0ms (16.6% of total)ival-add: 4.0ms (11.1% of total)ival-mult: 4.0ms (11.1% of total)adjust: 3.0ms (8.3% of total)ival-copysign: 3.0ms (8.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
| 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)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 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))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(+ (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))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (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)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | ((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x)) |
| 1.0ms | x | @ | -inf | ((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x)) |
| 1.0ms | x | @ | inf | ((copysign (log (+ (sqrt (+ (* x x) 1)) x)) x) (log (+ (sqrt (+ (* x x) 1)) x)) (+ (sqrt (+ (* x x) 1)) x) (sqrt (+ (* x x) 1)) (* (+ (/ -1/2 (* x x)) -1) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 465 |
| 1 | 392 | 457 |
| 2 | 1162 | 449 |
| 3 | 4121 | 447 |
| 0 | 8210 | 426 |
| 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)))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(+ 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))))) |
(/ -1/2 x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(+ (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))) |
(* 2 x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (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)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(+ (log 1/2) (log (/ -1 x))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(* -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 (+ 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)) (-.f32 (*.f32 #s(literal 3/40 binary32) (*.f32 x x)) (fma.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 5/112 binary32) #s(literal 1/6 binary32))) x) |
1 |
#s(literal 1 binary32) |
(+ 1 x) |
(+.f32 #s(literal 1 binary32) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x #s(literal 1 binary32)) x #s(literal 1 binary32)) |
(+ 1 (* 1/2 (pow x 2))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2))))) |
(fma.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (*.f32 x x) #s(literal 1/2 binary32)) x) x #s(literal 1 binary32)) |
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8))))) |
(fma.f32 (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 x x)) #s(literal 1/8 binary32)) (*.f32 x x) #s(literal 1/2 binary32)) x) x #s(literal 1 binary32)) |
(/ -1/2 x) |
(/.f32 #s(literal -1/2 binary32) x) |
(/ (- (* -1 (pow x 2)) 1/2) x) |
(/.f32 (-.f32 (*.f32 (neg.f32 x) x) #s(literal 1/2 binary32)) x) |
(+ (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)))) |
(* 2 x) |
(*.f32 #s(literal 2 binary32) x) |
(* x (+ 2 (* 1/2 (/ 1 (pow x 2))))) |
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 x x)) #s(literal 2 binary32)) x) |
(* x (- (+ 2 (* 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 2 binary32)) (/.f32 #s(literal 1/8 binary32) (pow.f32 x #s(literal 4 binary32)))) x) |
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))) |
(*.f32 (-.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.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 (+ 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) |
(* -1 x) |
(neg.f32 x) |
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x) |
(copysign (log (- (sqrt (+ 1 (pow x 2))) (* -1 x))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 (fma.f32 x x #s(literal 1 binary32))) x)) x) |
(+ (log 1/2) (log (/ -1 x))) |
(+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) |
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (log.f32 #s(literal 1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (*.f32 x x))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2)))) |
(-.f32 (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) x)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/4 binary32) (*.f32 x x)) (log.f32 #s(literal 1/2 binary32)))) |
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))) |
(-.f32 (+.f32 (+.f32 (log.f32 #s(literal 1/2 binary32)) (/.f32 #s(literal 3/32 binary32) (pow.f32 x #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) x))) (-.f32 (/.f32 #s(literal 5/96 binary32) (pow.f32 x #s(literal 6 binary32))) (/.f32 #s(literal -1/4 binary32) (*.f32 x x)))) |
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x)) |
(/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))) x) |
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x)) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/16 binary32) (pow.f32 x #s(literal 4 binary32))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -1/8 binary32) (*.f32 x x)))) x) (/.f32 #s(literal -5/128 binary32) (pow.f32 x #s(literal 7 binary32)))) |
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))) |
(neg.f32 (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)) |
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))) |
(neg.f32 (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 93 |
| 0 | 18 | 81 |
| 1 | 76 | 81 |
| 2 | 536 | 81 |
| 3 | 6732 | 81 |
| 0 | 8140 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
| Outputs |
|---|
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) |
(/.f32 (-.f32 (log.f32 (pow.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x)) (log.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x))))) (log.f32 (pow.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) (log.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))))) (log.f32 (*.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))) |
(/.f32 (-.f32 (log.f32 (pow.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (log.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))))) (log.f32 (pow.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))) (log.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))))) (log.f32 (*.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))) |
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(fma.f32 (pow.f32 x #s(literal 3/2 binary32)) (/.f32 (pow.f32 x #s(literal 3/2 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(fma.f32 (neg.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (/.f32 (neg.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(fma.f32 (fabs.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (/.f32 (fabs.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(fma.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (/.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(fma.f32 #s(literal 1 binary32) x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(fma.f32 (*.f32 x x) (/.f32 x (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(fma.f32 x (/.f32 (*.f32 x x) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(fma.f32 x #s(literal 1 binary32) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(+.f32 (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(+.f32 (/.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))) (/.f32 (pow.f32 x #s(literal 3 binary32)) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(+.f32 (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (/.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) (/.f32 (*.f32 (neg.f32 x) x) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x) |
(+.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) |
(neg.f32 (/.f32 (neg.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x))) (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x))) |
(neg.f32 (/.f32 (neg.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32)))) (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)))))) |
(neg.f32 (/.f32 (fma.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) (*.f32 (neg.f32 x) x)) (neg.f32 (-.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)))) |
(neg.f32 (/.f32 (-.f32 (pow.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(literal 3 binary32)) (pow.f32 x #s(literal 3 binary32))) (neg.f32 (fma.f32 (-.f32 x #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))) x (*.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x))))))) |
#s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) |
#s(approx (* (+ (/ -1/2 (* x x)) -1) x) x) |
Compiled 13 238 to 651 computations (95.1% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 124 | 0 | 124 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 124 | 4 | 128 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 31.0% | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
| ✓ | 29.7% | (copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
| ✓ | 99.5% | (copysign.f32 (asinh.f32 x) x) |
| ✓ | 49.8% | (copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
Compiled 273 to 134 computations (50.9% saved)
Total -31.4b remaining (-19578.5%)
Threshold costs -31.4b (-19578.5%)
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
(copysign.f32 #s(approx (log (+ (fabs x) (sqrt (+ (* x x) 1)))) (log1p.f32 (fabs.f32 x))) x) |
(copysign.f32 (log.f32 (+.f32 #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) x)) x)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) #s(approx (* (+ (/ -1/2 (* x x)) -1) x) (neg.f32 x))))) x) |
(copysign.f32 (log.f32 (+.f32 (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))) x)) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 #s(approx (+ (* x x) 1) (*.f32 x x))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (fma.f32 #s(approx (- (- (/ 1/16 (pow x 6)) (/ -1/2 (* x x))) (/ 1/8 (pow x 4))) (/.f32 #s(literal 1/2 binary32) (*.f32 x x))) x x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (*.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 x x)) #s(literal -1 binary32)) x)))) x) |
(copysign.f32 (log.f32 (+.f32 (fabs.f32 x) #s(approx (sqrt (+ (* x x) 1)) (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)))) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
2 calls:
| 3.0ms | x |
| 3.0ms | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | x |
| 99.5% | 1 | (copysign.f32 (log.f32 (+.f32 (fabs.f32 x) (sqrt.f32 (+.f32 (*.f32 x x) #s(literal 1 binary32))))) x) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 3 | 4 |
| 1× | saturated |
| Inputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
| Outputs |
|---|
(copysign.f32 (asinh.f32 x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 42 |
| 0 | 16 | 30 |
| 1 | 56 | 22 |
| 2 | 375 | 17 |
| 3 | 4916 | 17 |
| 0 | 8251 | 16 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 25 to 16 computations (36% saved)
Compiled 72 to 44 computations (38.9% saved)
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